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2 years ago

Put the following equation of a line into slope-intercept form, simplifying all

Mathematics

1 answer:

seraphim [82]2 years ago

8 0

6x -15y = 135

-15y = 135 -6x

y = (135-6x)/-15

y = 2/5x + 9

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Help math look at pic

Sloan [31]

Answer: $\Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}$

Step-by-step explanation:

Given the system of equation

$1)~y=-(x+2)^2+1$

$2)~y=2x+5$

Expand the parenthesis of the 1) equation

$y=-(x+2)^2+1$

$y=-(x^2+4x+4)+1$

$y=-x^2-4x-4+1$

$y=-x^2-4x-3$

Current System

$1)~y=-x^2-4x-3$

$2)~y=2x+5$

Substitute the y value of the 1) equation with the 2) equation

$2x+5=-x^2-4x-3$

Add ( x² + 4x + 3) on both sides

$2x+5+(x^2+4x+3)=-x^2-4x-3+(x^2+4x+3)$

$2x+5+x^2+4x+3=0$

Combine like terms

$x^2+2x+4x+5+3=0$

$x^2+6x+8=0$

Factorize the quadratic equation

$(x+4)(x+2)=0$

$x=-4~\text{or}~x=-2$

Substitute the x values into one of the equations to find the y value

$y=2x+5$

$y=2(-4)+5=-8+5=-3$

$y=2(-2)+5=-4+5=1$

Therefore, the two solutions are:

$\Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}$

Hope this helps!! :)

Please let me know if you have any questions

8 0

1 year ago

Ignacio is going on vacation. He needs to drive 520 miles in 8 hours. What is his average speed in miles per hour?

Gnom [1K]

Answer:

65 miles per hour

Step-by-step explanation:

520 divided by 8

8 0

1 year ago

Read 2 more answers

The answer and how you got it

mart [117]

The answer is 12
12-(5+3)=4
4+8=12

8 0

2 years ago

What is 8x over 2y ?

Nana76 [90]

Answer:

6 2/3.. i think

Step-by-step explanation:

hopefully u understand my messy handwriting

4 0

2 years ago

Please help me with this

kaheart [24]

Answer:

Step-by-step explanation:

domain = {-7, 6, 1}

range = {-4,0}

6 0

2 years ago