Answers
A) The linear equation is:
y = (3/4)*x + 3
B) The sets with only positive elements are:
{x| x ∈ N}{y| 0 < y < 1}{y| 3 ≤ y ≤22}How to write the linear equation?A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Here, we do know that the y-intercept of the linear equation is (0, 3), then we know that b = 3.
Then the line is something like:
y = a*x + 3
We also know that the line passes through (-4, 0), then we can replace these values in the equation above to get:
0 = a*-4 + 3
4a = 3
a = 3/4
Then the linear equation is:
y = (3/4)*x + 3
In which sets all the numbers are positive?The sets where all the numbers are positive are:
{x| x ∈ N}
Where N is the set of the natural numbers, these are all the integers equal to or larger than 1, so all are positives.
{y| 0 < y < 1}
There we can see that y must be larger than zero, so all the elements are positive.
{y| 3 ≤ y ≤22}
Here the elements are between 3 and 22, so all of these are positve.
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Related Questions
Helen draws a random circle, she then measures the circumference and diameter.
She gets a circumference C of 405mm correct to 2 significant figures
She gets a diameter D of 130mm correct to 2 significant figures
Helen wants to find the value of [tex]\pi[/tex] using the formula [tex]\pi[/tex] = C÷D
Calculate the lower and upper bound for Helens value of [tex]\pi[/tex]
Give your answer correct to 3 decimal places
Answers
The value of π can be written with upper and lower limits as -
3.12 ± 0.062.
What are significant figures?Significant figures of a number in positional notation are digits in the number that are reliable and necessary to indicate the quantity of something.
Given is that Helen draws a random circle, she then measures the circumference and diameter. She gets a circumference {C} of 405mm correct to 2 significant figures She gets a diameter {D} of 130mm correct to 2 significant figures.
We can write -
Circumference {C} = (405 ± 2) mm
Diameter {D} = (130 ± 2) mm
The value of π can be calculated as -
π = {C}/{D}
π = (405 ± 2)/(130 ± 2)
Now, divide the numbers without errors first -
405/130
3.12
Now, we will calculate the relative errors in each number -
2/405 = 0.004
2/130 = 0.016
Adding the relative errors -
0.004 + 0.016
0.02
Absolute error = 0.02 x 3.12 = 0.062
The value of π can be written with upper and lower limits as -
3.12 ± 0.062
Therefore, the value of π can be written with upper and lower limits as -
3.12 ± 0.062.
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If anyone could and is good at angles please help? Thank you.
Answers
Answer:
A) Angle A. Angle EG.
B) Angle A and Angle F.
C) Angle EG and Angle D.
I hope this helped you!
to solve 2/5 x = 14, you multiply both sides of the equation by 5/2. your friend divides both sides of the equation by 2/5. who is right? explain.
Answers
Both of you are correct because using either way can solve the equation for the value of x.
How to solve for x ?In the case of solving for x in 2/5 x = 14, the goal is to get rid of the fraction that is multiplying x on the left side. This can be done by either multiplying both sides of the equation by the inverse of 2 / 5 ( which is 5 / 2 ) or by dividing both sides by 2 / 5.
Doing either of these things would get rid of the 2 / 5 and give an answer to x as shown below :
Multiplying :
2/5 x = 14
5 / 2 x 2 / 5 x = 14 x 5 / 2
x = 35
Dividing :
2/5 x = 14
2 / 5 x / 2 / 5 = 14 / 2 / 5
x = 35
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a baker has 85 cups (c) of flour to make bread.she uses 6 1/4 c of flour for each loaf of bread
Answers
The baker can make 13 loafs of bread using 85 cups of flour using 6 1/4 c of flour for each loaf of bread.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A baker has 85 cups (c) of flour to make bread she uses 6 1/4 c of flour for each loaf of bread.
Now, The fraction 6 1/4 can be written as 25/4.
Therefore, The number of bread loaf the baker can make is,
= (85/25/4).
= 85×(4/25).
= (17×4)/5.
= 68/5.
= 65/5 + 3/5.
= 13 + 3/5.
So, he can make 13 bread loafs.
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help me with this question please
Answers
Answer:
[tex] \sf \: a) \: 1[/tex]
Step-by-step explanation:
Given values of variables,
→ e = 3.2
→ d = 10
→ u = 7
The problem needed to solve is,
[tex] \sf \rightarrow \: \frac{ue}{eu} [/tex]
Let's solve the problem,
[tex] \sf \rightarrow \: \frac{ue}{eu} [/tex]
[tex] \sf \rightarrow \: \frac{(7 \times 3.2)}{(3.2 \times 7)} [/tex]
[tex] \sf \rightarrow \: \frac{22.4}{22.4} [/tex]
[tex] \sf \rightarrow \: \frac{1}{1} = 1[/tex]
Hence, option (a) is correct.
Answer:
Option A ) 1
Step-by-step explanation:
[tex]\frac{ue}{eu} = \frac{3.2X7}{7X3.2} = \frac{22.4}{22.4} = 1[/tex]
Hence , Option A ) is the answer
Help
Complete the puzzle so that each row, column, and diagonal adds up to the same total.
Answers
Complete the puzzles with values -4, 0, -3 and 2
How to complete the puzzle?Since each row, column, and diagonal adds up to the same total.
For the 1st row, the total is:
3 + (-2) + (-1) = 0
That means each row, column, and diagonal will always adds up to 0.
3 + w + 1 = 0
w = -3-1
w = -4
w + y + 4 = 0
-4 + y + 4 = 0
y = 0
-1 + 4 + t = 0
3 + t = 0
t = -3
1 + h + t = 0
1 + h + (-3) = 0
h -2 = 0
h = 2
(Check the attached image for labeling)
Thus, complete the puzzle with the values accordingly
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Directions: Solve the following problem in a way that makes sens
PROBLEM-SOLVING:
1. Students at Grossmont College are planting a community garden.
One-fifth of the garden will be planted with roses. Three students ar
equally sharing the planting of the rose section. How much of the
whole garden will each of the 3 students plant?
Answers
Therefore , the solution of the given problem of algebra comes out to be
60 garden beds in the students plans.
Algebra: What Is It?Algebra, a subfield of mathematics, is concerned with symbols and the mathematical operations carried out on them. Because these symbols don't have predetermined values, they are referred to as variables. These symbols are additionally put through a variety of addition, subtraction, multiplication, and division arithmetic operations in order to obtain the values.
Here,
Given: actual flower bed: 18
This represents 30% of all garden beds.
Assume that x is the size of the entire flowerbed.
So, 30% of x= 18
30/100 x = 18
x= 1800/ 30
x= 60
60 garden beds are therefore planned by the students.
Therefore , the solution of the given problem of algebra comes out to be
60 garden beds in the students plans.
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Pls, solve this equation with the steps u took. 30 POINTS! posted this for the 2nd time
Answers
Answer:
x=2/3
Step-by-step explanation:
when the three turned into a 2 it removed one third, so we need to remove one third from 1, which gives us 2/3.
Basically, if a rectangle side goes from x to y, we figure out the percent decrease, and subtract that percent from the other side to find the variable we need to find on the other rectangle
) Prompt the user to input an integer between 32 and 126, a float, a character, and a string, storing each into separate variables. Then, output those four values on a single line separated by a space. (Submit for 2 points).
Note: This zyLab outputs a newline after each user-input prompt. For convenience in the examples below, the user's input value is shown on the next line, but such values don't actually appear as output when the program runs.
Answers
The complete program is
intInput = int(input("Integer between 32 and 126: "))
floatInput = float(input("Float input: "))
charInput = input("Character input: ")[0]
strInput = input("String input: ")
print(intInput, floatInput, charInput, strInput)
How to write the programFrom the question, we have the following parameters:
Accept inputs of integer, float, character and stringPrint the inputs on a line separated by spaceThe program that does this is:
intInput = int(input("Integer between 32 and 126: "))
floatInput = float(input("Float input: "))
charInput = input("Character input: ")[0]
strInput = input("String input: ")
print(intInput, floatInput, charInput, strInput)
See attachment for complete program and the output of the program execution
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An art museum opens at 9 am and closed at 5 pm the function V gives the number of visitors in a museum h hours after it opens explain what this statement tells us about the situation: V(5)=36
Answers
Answer:
Five hours after the museum opens, there are 36 visitors.
Step-by-step explanation:
V(5)=36 means that when h is 5, V is 36. Assuming this is a function from what information this gives.
Imagine products you might create in a given amount of time: poems, baked goods, online videos, movie reviews, video game mods, scarves, drawings, or anything else you can picture yourself making as part of a small, one-person business. Choose and describe two such products. They will be product 1 and product 2
Answers
Producing written and visual content for social media can be divided into two items that can be developed as a one-person small business in a little amount of time.
What is social Media?Social media is internet communication that enables real-time information sharing and customer interaction. Social networking can help you: better connect with your audience. building online networks sell and publicise the goods and services you offer.
Social media's effects on business
The social media presence of businesses in order to boost visibility, engagement, positioning, and value creation for their intended audience has been facilitated by the digital revolution.
In order to help businesses establish their strategy in the digital environment, marketing and advertising agencies can quickly produce digital media such posters and catalogues in addition to advertising text as their core offerings.
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Aregular decagon has a radius of 8 cm. What is the approximate area of the decagon?
Answers
Using a calculator we can approximate this to be A ≈ 568.89 cm^2.
What is regular decagon?A regular decagon is a two-dimensional geometric shape with ten sides of equal length and ten interior angles of equal measure. It is a polygon, which is a two-dimensional shape made up of line segments (straight sides).
The approximate area of a regular decagon can be calculated using the formula A = (5/2) * a^2 * tan(π/5), where a is the length of each side. Since the radius of the decagon is 8 cm, the length of each side can be calculated using the formula a = 2r * sin(π/10) where r is the radius.
Plugging these values into the formula we get A = (5/2) * (2 * 8 * sin(π/10))^2 * tan(π/5) which simplifies to A = 320 * sin^2(π/10) * tan(π/5).
Using a calculator we can approximate this to be A ≈ 568.89 cm^2.
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Kendra and Dalisay practice archery. Kendra hits the target 3 times every 5 misses. Dalisay hits the target 5 times every 7 misses. Who hits the target more?
Answers
Dalisay hits the target more.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
Kendra hits the target 3 times every 5 misses.
And, Dalisay hits the target 5 times every 7 misses.
Since, Kendra hits the target 3 times every 5 misses.
Hence, In 1 misses Kendra hits the target = 3/5 times
= 0.6 times
And, Dalisay hits the target 5 times every 7 misses.
Hence, In 1 misses Dalisay hits the target = 5/7 times
= 0.74 times
Thus, Dalisay hits the target more.
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Select all the correct answers. A farmer wants to build two fenced-off sections within his field, one in the shape of a rectangle and the other in the shape of a square. The side of the square must be equal to the width of the rectangle, x feet. The length of the rectangle must be 50 feet longer than its width. The field the farmer wants to build the two fenced sections in has an area of y square feet. The difference of the area of this field and the area of the fenced, square section needs to be at least 1,000 square feet. In addition, the sum of the fenced areas must be less than the area of the field. This is the system of inequalities that represents this situation. Which points represent viable solutions?
Answers
(20, 2,200) and (5, 3,000) are the viable solutions of the given inequality.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that the side of the square must be equal to the width of the rectangle, x feet.
The length of the rectangle must be 50 feet longer than its width
The field the farmer wants to build the two fenced sections in has an area of y square feet.
The difference of the area of this field and the area of the fenced, square section needs to be at least 1,000 square feet
the sum of the fenced areas must be less than the area of the field.
y≥x²+1000
y>2x²+50x
(20, 2,200) and (5, 3,000) are the viable solutions
Hence, (20, 2,200) and (5, 3,000) are the viable solutions of the given inequality.
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For the function f(x) shown below, find the definite integral ∫₀⁶ f?(x)dx
Answers
========================================================
Explanation:
The left-most rectangle spans from x = 0 to x = 2. It has base 2 and height 2, which means it has an area of 2*2 = 4 square units. Let A = 4 since we'll use it later.
The middle rectangle goes from x = 2 to x = 4. It has base 2 and height 3 (because it goes from y = 0 to y = -3). The area is B = 2*3 = 6
Draw a vertical line through 6 on the x axis. This forms the final rectangle we need. It has base 2 (because it goes from x = 4 to x = 6) and height 5. The area is C = 2*5 = 10.
The small sliver to the right of x = 6 is ignored completely.
--------------------
Summary so far:
A = 4B = 6C = 10Those represent the areas of the rectangles from left to right. We ignore the portion to the right of x = 6.
Since rectangle B is below the x axis, we treat this as a negative area, or we subtract off this area. The positive areas of rectangles A and C are added.
So,
A-B+C = 4-6+10 = 8 is the final answer
We can write [tex]\displaystyle \int_{0}^{6}f(\text{x})d\text{x} = \boldsymbol{8}[/tex]
On her to her grandmothers house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?
Answers
She traveled 6.375 miles by train.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here as per question the formula is x × (4+3×4)=34
∴ x×16=34
x= 6.375
Hence, She traveled 6.375 miles by train.
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The solution set of the equation x² + 5x = 0 is:
A. {0}
B. {5}
C. {-5}
D. {0, -5}
Answers
Answer:
D
Step-by-step explanation:
x²+5x=0
by factorizing;
x(x+5)=0
x=0 or x+5=0
Therefore, x= 0 or x=-5 ---> {0, -5}
Length of insect is 23mm and length of drawing is 85mm. So what is Magnification
Answers
Answer:
The magnification is the ratio of the size of the image to the size of the object. In this case, the length of the insect is the size of the object, and the length of the drawing is the size of the image.
To find the magnification, we can divide the size of the image by the size of the object:
Magnification = size of image / size of object
Plugging in the values, we have:
Magnification = 85mm / 23mm
Calculating, we find that the magnification is approximately 3.7. This means that the length of the drawing is 3.7 times the length of the insect.
Step-by-step explanation:
In this case, the length of the insect is 23 mm and the length of the drawing is 85 mm. To find the magnification of the drawing, we can divide the length of the drawing by the length of the insect:
Magnification = Length of drawing / Length of insect
Magnification = 85 mm / 23 mm
Magnification = 3.69
So, the magnification of the drawing in this case is 3.69. This means that the drawing is 3.69 times larger than the actual insect.
If you’re currently making $10.50 per hour and you’re offered a new job that pays $11.75 per hour, what will be your percent of increase in pay?
Answers
Answer: To find the percent increase in pay, you can use the following formula:
percent increase = ((new pay - old pay)/old pay) * 100
Plugging in the values given in the question, you get:
percent increase = ((11.75 - 10.50)/10.50) * 100
= (1.25/10.50) * 100
= 0.119047619 * 100
= 11.9047619%
Therefore, the percent increase in pay is approximately 11.9%.
Step-by-step explanation:
Any help pls. Question is : Find the equation of line B, which is perpendicular toy-2x=-8(x-8)and passes through the point (6,-6). Find the midpoint of the line segment AB in the following figure
Answers
Answer:
Perpendicular line ⇒ 2x + 9y + 42 = 0
midpoint: (-1,1)
Step-by-step explanation:
Let's find the coordinates of midpoint of AB
Here, from figure, A = (-3,-2), B = (1,4)
So midpoint:
[tex]P = (\frac{-3+1}{2},\frac{-2+4}{2})[/tex]
∴ P = (-1, 1)
Now, given straight line is x - 2y = -8(x-8)
⇒x - 2y = -8x+64
⇒9x - 2y - 64 = 0
Perpendicular line to 9x - 2y - 64 = 0 is 2x + 9y + k = 0
Perpendicular line passes though (6,-6)
Putting the values, we get
2(6) + 9(-6) + k = 0
⇒12 - 54 + k = 0
⇒k = 42
∴ Perpendicular line ⇒ 2x + 9y + 42 = 0
You have a pipe where the last 9/16 of an inch is threaded. Due to error, you need to trim of 4/32" off the threaded part. How long will the threaded section be? A. 17/32, Bl 7/8, C. 7/16 D. 15/32
Answers
The length of 9/16 of an inch threaded section of the pipe indicates that the new length of the threaded section after 4/32 of an inch is trimmed off obtained by the difference between the fractions is; C. 7/16 of an inch
What is a fraction?A fraction is the representation of only a part of a whole of an item in the form of a quotient, consisting of a numerator, being divided by a denominator.
The length of the threaded section of the pipe = 9/16 of an inch
The length of the threaded part trimmed off due to an error = 4/32 of an inch
The new length of the threaded section following the trimming off of 4/32 is therefore;
New length of the threaded section = 9/16 - 4/32
The value of the difference between the fractions is found as follows;
[tex]\dfrac{9}{16} -\dfrac{4}{32} =\dfrac{2 \times 9 - 4}{32} = \dfrac{14}{32}[/tex]
[tex]\dfrac{14}{32}=\dfrac{7}{16}[/tex]
Therefore;
[tex]\dfrac{9}{16} -\dfrac{4}{32} =\dfrac{7}{16}[/tex]
The new length of the threaded section will be 9/16 - 4/32 = 7/16
The correct option that indicates the new length of the threaded section is C. 7/16
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i’m not sure if the first one right but i need help
Answers
The formula is written as (3x+9)(x+9) of + 36x + 81 = 0. A second-degree polynomial equation can be used to define quadratics.
A quadratic equation is defined.Multiplying a variable by itself is the mathematical operation known as "squaring," which is frequently used to refer to a quadratic issue. This vocabulary is based on the notion that a square's area is equal to the sum of its side lengths. The word "quadratic" derives from the Latin quadratum, which meaning square.
here ,
[tex]= + 36x + 81 = 0\\= 3x^2 + 27x + 9x + 81\\= 3x(x+9) + 9(x+9)\\= (3x+9)(x+9)\\= 3(x+3)(x+9)[/tex]
factorized form is [tex](3x+9)(x+9) of + 36x + 81 = 0 .[/tex]
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29. What is length of x?
Please explain this one too me since I did not understand it thanks
Answers
The value of x is 10 yards. The given shape is a trapezoid.
What are trigonometry ratios?
Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Draw a line parallel to the base.
Name the corner point of the shape.
Assume that ∠ADG = θ.
Consider △BDF:
BD = 6 + x
DF = 8 + 4.8 = 12.8 yrds.
The cosine of an angle is the ratio of the base to the hypotenuse of the right-angle triangle.
cos θ = DF/BD
cos θ = 12.8 /(6+x) .....(i)
Consider △CDE:
cos θ = DE/CD
cos θ = 8/x .....(ii)
Now equate equations (i) and (ii):
12.8 /(6+x) = 8/x
Cross multiply:
12.8 × x = 8(6+x)
12.8x = 48 + 8x
12.8x - 8x = 48
4.8x = 48
Divide both sides by 4.8:
x = 48/4.8
x = 10
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The value of x is 10 yards. The given shape is a trapezoid.
What are trigonometry ratios?Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Draw a line parallel to the base.
Name the corner point of the shape.
Assume that ∠ADG = θ.
Consider △BDF:
BD = 6 + x
DF = 8 + 4.8 = 12.8 yrds.
The cosine of an angle is the ratio of the base to the hypotenuse of the right-angle triangle.
cos θ = DF/BD
cos θ = 12.8 /(6+x) .....(i)
Consider △CDE:
cos θ = DE/CD
cos θ = 8/x .....(ii)
Now equate equations (i) and (ii):
12.8 /(6+x) = 8/x
Cross multiply:
12.8 × x = 8(6+x)
12.8x = 48 + 8x
12.8x - 8x = 48
4.8x = 48
Divide both sides by 4.8:
x = 48/4.8
x = 10
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Cassie rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number cube 300 times. Which results are
probable to happen according to theoretical probability? Select TWO answers.
Answers
On solving the question, we can say that - the probability of given will be P(a/c) = 3/6 = 1/2
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
here,
the probability that event the dice will roll is 6
and chances of geting even numbers are = 3
so P(a/c) = 3/6 = 1/2
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Evaluate each expression for x = 3 & y = 4
4. x² + 2(x+y)
5. (xy)^3
4х² - 3ху
4x -
Answers
Using the values for x and y and substituting these values in the expression of equations provided, The answer is 23 and 1728.
What do you mean by equations?An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.
What do you mean by substitution?When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead. The expression's total value can then be calculated.
x=3 and y=4
[tex]x^2 + 2(x+y)\\=3^2 + 2* (3+4)\\=9+2*7\\=9+14\\=23[/tex]
[tex](xy)^3\\=(3*4)^3\\=12^3\\=1728[/tex]
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Please help will mark Brainly
Answers
Answer: The solution to the system of equations is (1/3,-4/3).
Step-by-step explanation: Yes
Step by step
Using the substitution method
y = -4x
3x + y = 1
Substitute value of y = -4x into 3x + y = 1
3x + (-4x) = 1
Simplify
-1x = 1
Divide both sides by -1
-1/-1 x = 1/-1
x = -1
Now substitute value of x = -1 into either equation to solve for y
y = -4x
y = -4 (-1)
Multiply
y = 4
Whose inverses are also functions
Answers
Functions whose inverses are also functions.
What is inverse function?Inverse function is represented by [tex]f^{-1}[/tex] with regards to the original function and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
If a horizontal line intersects the original function in a single region, the function is a one-to-one function and inverse is also a function.
Every function has an inverse, but not every inverse will be a function. The inverse may fail the vertical line test. If the original function is a one-to-one function, then its inverse will be a function. A one-to-one function not only passes the vertical line test, it also passes a horizontal line test.
Therefore, functions whose inverses are also functions.
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Find the midpoint and distance between (-3,10) and (15,-2)
Answers
The midpoint and distance between (-3,10) and (15,-2) are ( 6,4 ) and 6√13 respectively.
What is the midpoint and distance between the given coordinates?The midpoint formula is expressed as;
[ (x₁ + x₂)/2, (y₁ + y₂)/2 ]
The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Given the data in the question;
Point 1(-3,10)
x₁ = -3y₁ = 10Point 2( 15,-2 )
x₂ = 15y₂ = -2Plug the given values into the midpoint formula and simplify.
[ (x₁ + x₂)/2, (y₁ + y₂)/2 ]
[ ( -3 + 15)/2, ( 10 + (-2) )/2 ]
[ ( 12)/2, ( 10 - 2 )/2 ]
[ ( 12)/2, ( 8 )/2 ]
( 12/2, 8/2 )
( 6,4 )
Therefore, the midpoint is (6,4).
Plug the given values into the distance formula and simplify.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
D = √( ( 15 - (-3) )² + ( -2 - 10 )² )
D = √( ( 15 + 3 )² + ( -2 - 10 )² )
D = √( ( 18 )² + ( -12 )² )
D = √( 324 + 144 )
D = √( 468 )
D = 6√13
Therefore, the distance between the points is 6√13.
Learn more about the distance formula here: brainly.com/question/24509115
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given f''(x)=4x-2 and f'(-1)=0 and f(-1)=4
find f'(x)=
find f(4)=
Answers
(c) Ben changes £800 to Euros before he goes on holiday.
£1 = 1.25 Euro
He spends 895 Euros.
He changes the Euros that he has left to Pounds (£).
The exchange rate is now £1 = 1.40 Euro
How many Pounds does he get back?
Answers
Amount of pounds that Ben get back is £75.
What is Exchange Rate?Exchange rate is defined as the value of a currency with respect to another currency in order to convert the currency.
Ben changes £800 to Euros before he goes on holiday.
Before holiday, exchange rate is, £1 = 1.25 Euro
£800 = 800 × 1.25 Euros = 1000 Euros
He spends 895 Euros.
Euros left = 1000 - 895 = 105 Euros
Now, the exchange rate is £1 = 1.40 Euro.
or 1.40 Euro = £1
⇒ 1 Euro = £ 1/1.40
⇒ 105 Euros = £ (1/1.40) × 105 = £75
Hence Ben got £75 of pounds back.
To learn more about Exchange Rate, click :
https://brainly.com/question/29562028
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