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3 years ago

Passes through (-7, -4) parallel to y=1/2x+9

Mathematics

1 answer:

Law Incorporation [45]3 years ago

3 0

Answer:

y = 1/2x -.5

Step-by-step explanation:

We know that is the line is parallel to the equation then the slopes are going to be the same we just have to find the a different y-intercept.

It's a simple as this just plug the points into the equation you have like this.

(-7,-4) (PLUG IN)

-4 = 1/2(-7) +b (I do plus be so we can get another y intercept)

-4 = -3.5 + b (add 3.5 on each side)

-.5 = b

the equation parallel to the first one is...

y = 1/2x -.5

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Answer:

Part 1) The base is $25\ in$ and the height is $10\ in$

Part 2) The base is $7.5\ in$ and the height is $18.75\ in$

Step-by-step explanation:

case 1) Right isosceles triangle of the left

Let

x------> the base of the rectangle

y----> the height of the rectangle

Remember that

In a right isosceles triangle the lengths of the legs of the triangle is the same

$y+x+y=45$

$2y+x=45$ ----> equation A

$\frac{x}{y} =\frac{5}{2}$

$x=2.5y$ -----> equation B

substitute equation B in the equation A

$2y+2.5y=45$

$4.5y=45$

$y=10\ in$

Find the value of x

$x=2.5(10)=25\ in$

case 2) Right isosceles triangle of the right

Let

x------> the base of the rectangle

y----> the height of the rectangle

Remember that

In a right isosceles triangle the lengths of the legs of the triangle is the same

$y+x+y=45$

$2y+x=45$ ----> equation A

$\frac{y}{x} =\frac{5}{2}$

$y=2.5x$ -----> equation B

substitute equation B in the equation A

$2(2.5x)+x=45$

$6x=45$

$x=7.5\ in$

Find the value of y

$y=2.5(7.5)=18.75\ in$

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