Lines a and b are parallel. the slope of line b is 13. what is the slope of line a?

 13.

Step-by-step explanation:

We know that,

When two lines are parallel then they have the same slope.

For example : If line m and n are parallel and line m has slope -1 , then the slope of line n would also be -1.

We are given that ,

Lines a and b are parallel.

⇒ They have same slope.

The slope of line b is 13.

⇒  The slope of line a would also be 13.  

Hence, the the slope of line a = 13.

true

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15