Use the distance formula to calculate the distance between the following two points:
(-1,1) and (4, 11)
The distance between the two points is approximately
units.
Answer:
d = 11 units if rounded to nearest whole number
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (-1, 1) and (4, 11)
d=√((4-(-1))²+(11-1)²)
d=√((4+1))²+(10))²)
d=√((5)²+ 100)
d = √125
d = 11.18
d = 11 units if rounded to nearest whole number
EASY 7TH GRADE MATH QUESTION!!! FIRST PERSON MARKED BRAINLIEST!!! PLEASE ANSWER QUICKLY AND CORRECTLY!!
Answer:
D or the 4th answer choice.
Step-by-step explanation:
Put simply, id f(x) equals x, and g(x) is shown three points above f(x) the answer is D or the 4th answer choice.
Last year, a computer store sold 200 laptops at the price of $1,000 per laptop. The store manager is planning for the upcoming year. She creates the graph
shown below of the projected revenue from the sales of laptop computers for next year depending on the price increase per laptop.
Answer:
The maximum revenue of $225,000 occurs when the laptops are priced at $1,250.
Step-by-step explanation:
The vertex of the parabola shows that; maximum revenue of $225,000 occurs when the laptops are priced at $1,250.
What does the vertex of the parabola represent?We are given a graph titled projected laptop revenue based on price with price increase per laptop on the x-axis and total revenue from laptop sales on the y-axis.
Now, the vertex of the parabola is the peak of the parabola and from the coordinates on the graph, we can conclude that maximum revenue of $225,000 occurs when the laptops are priced at $1,250.
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What is the highest common factor of 36 and 56???
Answer:
4
Step-by-step explanation:
Greatest common factor (GCF) of 36 and 56 is 4.
Step-1: Prime Factorization of 36
Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:
36 = 2^2 × 3^2
Step-2: Prime Factorization of 56
Prime factors of 56 are 2, 7. Prime factorization of 56 in exponential form is:
56 = 2^3 × 7^1
Step-3: Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18
Step-4: Factors of 56
List of positive integer factors of 56 that divides 36 without a remainder.
1, 2, 4, 7, 8, 14, 28
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 36 and 56. The biggest common factor number is the GCF number.
So the greatest common factor 36 and 56 is 4.
The highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.
What is LCM?It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.
It is given that:
The two numbers are: 36 and 56
As we know GCF means highest common factor, the factor which presents the in both numbers:
The GCF(36, 56) can be found using the Division Lemma:
56 = 36x1 + 20
36 = 20x1 + 16
20 = 16x1 + 4
16 = 4x4 + 0
The value of GCF(36, 56) :
GCF(36, 56) = 4
Thus, the highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.
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Which graph represents the equation x=2?
Answer:
1)
Step-by-step explanation:
In the line that is the graph of equation x = 2, every ordered pair has 2 as its x-coordinate. That means it's a vertical line that passes through x = 2 on the x-axis.
Answer: 1)
The graph option 1) is the correct answer.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given is an equation, x = 2
We see x intercept is 2 and there is no y intercept,
We know when x = a then the line is always parallel to y-axis and here x intercept is 2 therefore the line will pass through 2 on x-axis.
In graph 1) The line is passing through 2 on x-axis and is parallel to y-axis.
Hence, The graph option 1) is the correct answer.
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A slide at a children's park is 74 inches tall in the horizontal distance The slide covers is 70 inches what is the angle measures created by the slide and the ground
Answer:
46.6°
Step-by-step explanation:
A slide at a children's park is 74 inches tall in the horizontal distance The slide covers is 70 inches what is the angle measures created by the slide and the ground
We solve the above question using Trigonometric function of Cosine.
tan x = Opposite/Adjacent
x = The angle
Hypotenuse = Slide covers = 70 inches
Adjacent = 74 inches
tan x = 74/70
x = arc tan (74/70)
x = 46.591140271°
Approximately = 46.6°
barbra has two cherry pies.She cuts each pie into quarters.How many slices of cherry pie does barbra have
Ok so you have 2 pies.
You can cut into quarters which is 4 slices in 1 pie.
Than you can do 4 slices x 2 pies which means you have 8
Pls help. I really need lol
Answer:
3x+9+4x+×
8x+9
Step-by-step explanation:
3x+9+4x+x
( ) to isolate the 9
3x (9) +4x+x
3+4+1=8 then slap on the X which equals to 8×+9
someone let me knoww
Please help me with number 16 it’s 5th grade math so it should be easy
Answer:
A. you won't have enough
1/8 x 6 = 6/8 of a teaspoon
you have 2/3 teaspoon of black pepper set it equal and get a common denominator
6/8 = 2/3 ---------------> 18/24 = 16/24 so you dont have enough
Julio esta interesado en adquirir un nuevo teléfono celular el cual cuesta $3,200 en la tienda le ofrecen un 15% de descuento si lo compra de contado ¿cuando sería el precio con descuento para julio?
Answer:
$2720
15%= 480
3200-480=
$2720
The least common denominator is the least common multiple of the _______ of the factions fill in the blank
a cyclist covers a distance of 15km in 2hours calculate his speed
Answer:
7.5km/h
Step-by-step explanation:
Given data
Distance= 15km
Time = 2 hours
We know that the expression for the speed is
Speed= distance/time
Substitute
Speed= 15/2
Speed= 7.5 km per hour
Hence the speed is 7.5km/h
The product of 0.014 and 100,000 is
_ ...
because the decimal point in 0.014 moves
_ ...
places to the right.
Answer:
5
Step-by-step explanation:
In the case when we multiplied 0.014 by 100,000 so it comes
= 0.014 × 100,000
= 1,400
Since The value 0.014 were times by 5 zeros.
Therefore the decimal point would move 5 places to the right
Copy the shape and fill in the missing angle. Sow the work. Thanks.
Answer:
x=12
Step-by-step explanation:
Hello There!
So first things first, the angle labeled 4x+17 and the blank interior angle are vertical angles meaning that they are congruent
So now we can solve for x
Remember all of the angles in a triangle add up to equal 180 so
180 = x + 23 + 80 + 4x + 17
step 1 combine like terms
4x+x=5x
23+17+80=120
now we have
180=120+5x
step 2 subtract 120 from each side
180-120=60
now we have
60=5x
step 3 divide each side by 5
60/5=12
we're left with x=12
what is - 5 = -2 what is the questionwhat is the question
Answer:
-5 + 3 = -2
Step-by-step explanation:
I don't really understand what you're trying to ask here...
Brian is mowing his lawn. He and his family have 7.84 acres. Brian mows 1.29 1 acres on Monday, 0.85 acres on Tuesday, and 3.63 acres on Thursday. How many acres does Brian have left to mow? * 0 2.70 0 20.7 02.07 O 0.207
Answer:
2.07
Step-by-step explanation:
I DID IT ON A CALCULATOR
The area of a 2D form is the amount of space within its perimeter. The area that is needed to be mowed by Brian is 2.07 acres.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.
The total area that is needed to mow is 7.84 acres. Given that Brian mows 1.291 acres on Monday, 0.85 acres on Tuesday, and 3.63 acres on Thursday. Therefore, the area already mowed by Brian can be written as,
[tex]\rm \text{The area already mowed by Brian} = 1.291 + 0.85 + 3.63= 5.771\ acres[/tex]
The area that is left to mow = Total area - Area already mowed by Brian
= 7.84 - 5.771
= 2.069 acres ≈ 2.07 acres
Hence, the area that is needed to be mowed by Brian is 2.07 acres.
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Solve for x. Enter the solutions from least to greatest. (−5x+4)(x−3)=0
lesser x=
greater x=
What is the best name for polynomial with 3 terms that has a degree
Answer:
Names of Degrees
Degree Name Example
1 Linear x+3
2 Quadratic x2−x+2
3 Cubic x3−x2+5
4 Quartic 6x4−x3+x−2
Answer:
Quartic Trinomial
Step-by-step explanation:
Monomial = one term
Binomial = two terms
Trinomial = three terms
Polynomial = four or more terms
As the other answer says, the order for degrees is:
Linear - to first degree
Quadratic - to second degree
Cubic - to third degree
Quartic - to fourth degree
Quintic - to fifth degree
Anything above fifth degree is just said "__th degree"
Example: x^7 + x^2 + 5 would be seventh degree trinomial
Two vectors with magnitudes of 6 and 9 have a dot product equal to –27. Find the angle between the vectors.
Answer:
120°
Step-by-step explanation:
From the question,
The expression for the dot product of two vector is given as
a.b = abcosθ................... Equation 1
make θ the subject of the equation
θ =cos⁻¹ (a.b/ab)......................... Equation 2
Where θ = angle between the vector.
Given: a.b = -27, a = 6, b = 9
Substitute these values into equation 2
θ = cos⁻¹[-27/(6×9)]
θ = cos⁻¹(-27/54)
θ = cos⁻¹(-0.5)
θ = 120°.
Hence the angle between the vector is 120°
Answer:
B
Step-by-step explanation:
Edge 2021
HELP ASAP PLS MY MATH TEACHER IS HER
Answer:
b
Step-by-step explanation:
5 faces 6 vertices goodluck
Answer:
second answer
Step-by-step explanation:
subtract 13 upon 15 from 1
Work out the length x.
4.5 cm
11 cm
Answer:
12.3
Step-by-step explanation:
A^2 + B^2 = C^2
11^2 + 4.5^2 = C^2
132 + 20.25 = C^2
152.25 = C^2
Square root of 152.25 = 12.3
3x < 15
What’s the answer?
Answer:
x<5
Step-by-step explanation:
3x < 15
get x by itself, divide by 3 on both sides
x<5
hope this helps :)
Answer:
x<5
Step-by-step explanation:
3x<15
Divide both sides by 3.
3x/3 < 15/3
x<5
Find the area of the shaded polygons
Answer:
Is there a picture?
Step-by-step explanation:
It costs $5.44 for a pack of 16 pens. Find the unit price in dollars per pen. Round your answer to the nearest cent
$3.68 for 16 pens
$3.68 per 16 pens
($3.68) / (16 pens)
$0.23 / (1 pen)
$0.23 / pen
$0.23 per pen
I am not 100% sure sorry
Regular - $0.34
Rounded- $0.30
Explanation:
to find unit rate, set up the problem like a fraction. put the total cost on top, and the number of pens in a pack on bottom. Divided by the number of pens in the pack, which is 16. The answer will be the unit rate.
FOR EXAMPLE:
5.44/16 DIVIDED BY 16.
on the bottom you would get one because 16 divided by 16 is one. And on the top it would be 5.44 divided by 16 which is $0.34.
Please Find X in this triangle.
Answer:
[tex]x = \frac{\sqrt{6}}{3}[/tex]
Step-by-step explanation:
Step 1: Using tan to get the value of the side x
[tex]tan(30) = \frac{x}{\sqrt{2}}[/tex]
[tex]\sqrt{2}*tan(30) = x[/tex]
[tex]\frac{\sqrt{6}}{3}=x[/tex]
Answer: [tex]x = \frac{\sqrt{6}}{3}[/tex]
b(1)= -12
b(n)=b(n−1)⋅4
Find the 3rd term of the sequence. Show me the solutions and calculations.
Given:
[tex]b(1)=-12[/tex]
[tex]b(n)=b(n-1)\cdot 4[/tex]
To find:
The third term of the sequence.
Solution:
We have,
[tex]b(n)=b(n-1)\cdot 4[/tex]
For n=2, we get
[tex]b(2)=b(2-1)\cdot 4[/tex]
[tex]b(2)=b(1)\cdot 4[/tex]
[tex]b(2)=-12\cdot 4[/tex] [tex][\because b(1)=-12][/tex]
[tex]b(2)=-48[/tex]
For n=3, we get
[tex]b(3)=b(3-1)\cdot 4[/tex]
[tex]b(3)=b(2)\cdot 4[/tex]
[tex]b(3)=-48\cdot 4[/tex] [tex][\because b(2)=-48][/tex]
[tex]b(3)=-192[/tex]
Therefore, the 3rd term of the sequence is -192.
please help rn thanks
9514 1404 393
Answer:
(b) (1, 1/6)
Step-by-step explanation:
The "unit rate" is always the y-value for x=1 when the relationship is proportional (as it is here).
That point is not specifically shown on the graph. It would be (1, 1/6).
Use the points in each diagram to name the figure shown