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2 years ago

Find the equation given the following two points (7,19) and (9,29)

Mathematics

2 answers:

Dmitrij [34]2 years ago

8 0

9(92) hope that helps

ra1l [238]2 years ago

3 0

Answer:

y=mx+bx

Step-by-step explanation:

You could either use (7,19) or (9,29) to find the equation....

Y=mx+b

You plug in you x and y, then we are trying to solve for b

x=7, y=19

19=m(7)+b

7m+b=19

-7m -7m

b= 19 - 7m

Y=7m+1

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Solve the system of equations by substitution.<br> 5x + y =18<br> Y=4x

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Answer:

x =2 y= 8

Step-by-step explanation:

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2 years ago

The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)

Ghella [55]

Answer:

$m=\frac{2A-kn}{k}$

Hence, option C is true.

Step-by-step explanation:

Given the expression

$A=\frac{k}{2}\left(m+n\right)$

Solving for 'm'

$A=\frac{k}{2}\left(m+n\right)$

Flip the equation

$\frac{k}{2}\left(m+n\right)=A$

Expanding by applying the distributive law: $a\left(b+c\right)=ab+ac$

$\frac{1}{2}km+\frac{1}{2}kn=A$

Add (-1)/2 × kn to both sides

$\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A$

simplify

$\frac{1}{2}km=-\frac{1}{2}kn+A$

Divide both sides by k/2

$\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}$

$m=\frac{2A-kn}{k}$

Therefore,

$m=\frac{2A-kn}{k}$

Hence, option C is true.

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2 years ago

Terry has completed 15 homework problems, and Susan has completed 9. Terry is completing 10 problems per hour, and Susan is comp

Rainbow [258]

Let the number of hour it took them to have completed the same number of problems be x, then
15 + 10x = 9 + 12x
12x - 10x = 15 - 9
2x = 6
x = 6/2 = 3

After 3 hours, they must have completed the same number of homeworks.

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