Given parameters:
The coordinates are:
P1 (8, -4) and P2 (-3, 9)
Unknown:
The midpoint of the endpoints = ?
Solution:
x₁ = 8
y₁ = -4
x₂ = -3
y₂ = 9
midpoints; x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{x_{1} + x_{2} }{2} ,[/tex] [tex]\frac{y_{1} + y_{2} }{2}[/tex]
= [tex]\frac{8 +(-3)}{2}[/tex] , [tex]\frac{-4 + 9}{2}[/tex]
= [tex]\frac{5}{2}[/tex] , [tex]\frac{5}{2}[/tex]
The coordinate of the x-axis is [tex]\frac{5}{2}[/tex]
I need help ASAP please help me
Answer:
<4 ~= <8 - Corresponding Angles Theorem
<2 ~= <8 - Alternate Exterior Angles Theorem
<2 ~= <4 - Vertical Angles Theorem
line I || line m - Transitive Property
What is the slope of the graph of 5x - 2y = 20?
Answer:
slope
5/2
y-inter
-10
The slope of the graph of the equation of the line as 5x - 2y = 20 will be [m] = 5/2
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is the equation of the line as 5x - 2y = 20.
We have the equation of the line as -
5x - 2y = 20
2y = 5x - 20
y = (5/2)x - 10
[m] = 5/2
Therefore, the slope of the graph of the equation of the line as 5x - 2y = 20 will be [m] = 5/2
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Please help me
I will give Brainly
Tyhanks and five stars
Answer:
3n
Step-by-step explanation:
The number of raised fingers is 3 for each hand, so is 3 times the number of hands.
For n hands, the number of raised fingers is ...
3n
Find the circumference when the diameter is 12 inches
C = pi x d = 3,14 x 12 = 37,68 inches
There are 2 cups in 1 pint.
Use the drop-down menus to help write the equation that can be used to find the
number of cups, c, given the number of pints, p.
The equation that shows the relationship between the number of cups and pints is c = 2p.
What is an equation?An equation is an expression used to show the relationship between two or more variables and numbers.
Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:
c = 2p
When p = 2; c = 2(2) = 4
When p = 3; c = 2(3) = 6
The equation that shows the relationship between the number of cups and pints is c = 2p.
Find out more on equation at: https://brainly.com/question/2972832
Answer:
What is an equation?
An equation is an expression used to show the relationship between two or more variables and numbers.
Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:
c = 2p
When p = 2; c = 2(2) = 4
When p = 3; c = 2(3) = 6
The equation that shows the relationship between the number of cups and pints is c = 2p.
Lewis recently filed bankruptcy and now has a poor credit rating. he moved into an apartment and is setting up new accounts for his electric and cable. the deposits and connection fees for customers based on their credit rating are shown below. electric deposit electric connection fee cable deposit cable connection fee good rating $90 $50 $65 $75 poor rating $205 $75 $150 $110 how much more in deposits and fees will lewis pay to have his electric and cable turned on because of his bankruptcy? a. $260 b. $280 c. $360 d. $540
Lewis has to pay $260 more to have his electricity and cable turned on because of his bankruptcy.
What is bankruptcy?Bankruptcy is a legal proceeding involving a person or business that is unable to repay its outstanding debts.
Had Lewis not filed bankruptcy, he would have paid = 90+50+65+75
He would have paid (let us say amount A)= $280
After filing for bankruptcy he has to pay = 205+75+150+110
He has to pay (let us say amount B)= $540
Difference between amount A and amount B = $540-$280
Difference between amount A and amount B = $260
Therefore, Lewis has to pay $260 more to have his electricity and cable turned on because of his bankruptcy.
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Nora was offered a job that paid a salary of
$
40
,
000
$40,000 in its first year. The salary was set to increase by 3% per year every year. If Nora worked at the job for 21 years, what was the total amount of money earned over the 21 years, to the nearest whole number?
The growth in Nora's salary illustrates a geometric progression
The total amount earned over the 21 years is $1147059
How to determine the total earning?The given parameters are:
Initial salary, a = 40000
Rate, r = 1 + 3% = 1.03
Number of years = 21
The sum of n terms of a geometric progression is represented as:
Sn = a((r^n) - 1)/(r - 1)
So, we have:
S21 = 40000 * ((1.03^21) - 1)/(1.03 - 1)
Evaluate
S21 = 1147059
Hence, the total amount earned is $1147059
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how do I solve this?
Answer: X=1
Step-by-step explanation: The equation is 40x+140=180 because a triangle always adds up to 180
Then subtract 140 from both sides which makes it
40x=40
Then divide which would make it X=1
Look at this table:
x y
1 15
3 6
3 8
12 18
Is this relation a function?
Answer:
No, because the you have two of the same inputs.
Find the equation of a line that is parallel to y=5x+7and passes through (4,3)
Select the correct answer.
Find the solution(s) for x in the equation below.
So
x=4 and x=5Option B
Answer:
B(x=4,x=5)
Step-by-step explanation:
Here,
[tex]x^{2} -9x+20=0[/tex]
We can find the value of x by various methods.
Method 1
By using formula
x=-b±√b²-4ac/2a
For ax²+bx+c=0
Here,
a=1, b=9, c=20
Putting the values.
x=-b±√b²-4ac/2a
x=-(-9)±√9²-4×1×20/2×1
Taking positive one.
[tex]x=\frac{-(-9)+ \sqrt{81-80} }{2} \\\\x=\frac{9+1}{2} \\\\x=5[/tex]
Taking negative one.
[tex]x=\frac{-(-9)- \sqrt{81-80} }{2} \\\\x=\frac{9-1}{2} \\\\x=4[/tex]
x=5,x=4
Method 2
[tex]\hookrightarrow x^{2} -9x+20=0\\\\\hookrightarrow x^{2}-4x-5x+20=0\\\\\hookrightarrow x(x-4)-5(x-4)=0\\\\\hookrightarrow (x-5)(x-4)=0[/tex]
x-5=0....I
x-4=0.....II
Solving equation I
x-5=0
x=5
Solving equation II
x-4=0
x=4
I will mark brainiest
Answer: B. 8 3/4
Step-by-step explanation:
The amount of sand he needs would be equal to the volume of the sand box.
Since the sandbox is a rectangular prism, the volume if the length*width*height/depth.
We can plug in the values given.
Volume = 3.5 feet*5 feet * 0.5 feet
Volume = 8.75 feet^3 = 8 3/4 feet^3
Answer:
B. 8 3/4
Step-by-step explanation:
How do we find the volume of a rectangular prism?
❖ The volume of a rectangular prism can be found by using the formula
length × width × height. We're given all the dimensions, so now we can
solve for the volume
Solving
[tex]3.5*5*0.5[/tex] [tex]17.5 * 0.5[/tex] [tex]8.75[/tex] [tex]8.75 = 8\frac{3}{4}[/tex]Therefore, the answer is B. 8 3/4.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
F) triangle ABC is similar to triangle CBD
G) CD/BD=AD/CD
H)
J) CD/BD=AC/AD
Answer:
F) triangle ABC is similar to triangle CBD
Step-by-step explanation:
Hope this helped
There are three red marbles and two white marbles in a bag. What is the probability of picking one red marble followed by another red marble? (Assume that you keep the red marble out of the bag.) Write your answer as a fraction, and make sure it is fully reduced.
Answer:
1/5+1/5=2/5
Step-by-step explanation:
firstly add red and white marble
1 and three fifths divided by 5 eighths
A. 1
B.
C. 2 and start fraction 14 over 25 end fraction
D. 2 and two-fifths
Answer:
c
Step-by-step explanation:
1 and 3/5 is 8/5
8/5 * 5/8 is 8/5 * 8/5
64/25
25*2 is 50
64-50 is 14
2 and 14/25 or 2 14/25
If a person drinks 8 cups of apple juice per month, how many gallons will he drink in one year?
Answer:
2920
Step-by-step explanation:
how much units of electricity does a 6.5kW AC unit use in 89 hours
Answer:
578.5
Step-by-step explanation:
89*6.5
what is the answer please
Answer:
19.5Step-by-step explanation:
6x+4x+6x+3x+5x+36+26+10+10-10=540
24x+72=540
24x=540-72
24x=468
24 = 24
x=19.5 answer
Graph y<=1-3x
Help asap
.A car travels 480km in 4 hours. How long would it travel in 18 hours.
Answer:
2160
Step-by-step explanation:
18/4= 4.5
480km * 4.5= 2160
Answer:
2160
Step-by-step explanation:
15 POINTS!!! Please help me with c and d.
Answer:
Step-by-step explanation:
You would be required to use a change in subject of formula method.
You then make H the subject of formula
πH/3 (R2 + Rr + r2)
the you make H the subject of the formula
When asked to draw a triangle with two 45 angles and a side length of 8 cm, Diego drew this triangle.
Do you agree with Diego’s answer?
Is there a different triangle Diego could have drawn that would answer the question? Explain or show your reasoning
The triangle is an equilateral triangle, therefore, Diego didn't draw the right triangle.
What is a triangle?A triangle simply means a polygon that has three edges and vertices. It's a shape in geometry.
In this case, I don't agree with Diego's drawing as the triangle is an equilateral triangle and this means that each side is 60° and not 45° as illustrated.
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7 times the quantity of 3 times a number reduced by 10
Answer:
3 times a number:
3x
Reduced by 10 means we subtract 10:
3x - 10
7 times this quantity:
7(3x - 10)
Therefore, your answer is 7(3x - 10).
☆Hoepfully this helps!!
You ask a question with 4 possible responses. Each possible response is given by at least
10 customers. What is the maximum number of customers giving any one response?
a) 10
b) 20
c) 40
d) 70
Answer:
40
Step-by-step explanation:
4•10(10 answers at 4 people)
someone plssssssss help me with thisss
Answer:
yes it does match
Step-by-step explanation:
the graph has the coordinates (-2,1),(-1,2),(0,3),(1,4) all on it.
what is the domain and range of f(x) = ± √x^2?
Answer:
Domain: All real Numbers or (infinity, Infinity)
Range: All real Numbers or (infinity, Infinity)
Step-by-step explanation:
I am assuming the equation is F(x) = [tex]\sqrt{x} ^2[/tex]
Translate the following expression: "the quotient of a number and 4"
Answer:
n/4
Step-by-step explanation:
m<a = 3x+11 and m<b = 17x-91. The angles are supplementary. Find the value of x.
Answer:
x = 13
Step-by-step explanation:
Supplementary means 180 degrees.
Since we are finding the supplement, we are going to add both angles together and solve for x.
3x + 11 + 17x - 91 = 180
~Combine like terms
20x - 80 = 180
~Add 80 to both sides
20x = 260
~Divide 20 to both sides
x = 13
Best of Luck!
Answer:
Since the measure of both angles are supplementary, its easy to form the equation.
3x+11+17x-91 = 180
20x-80 = 180
20x = 100
x = 5
m<a = 3x+11
= 3(5)+11
= 15+11
= 26
m<b = 17x-91
= 17(5)-91
= 85-91
= -6
xx^{2} -6x+8=0
help me fin this
Answer:
x=-2.951373070
Step-by-Step Explanation
Quadrilateral ABCD is inscribed in a circle. If angle B measures 24°, what is the measure of angle D?
Answer: 156!
Step-by-step explanation: i’m not going to lie, i guessed but, i ended up getting it right .