The slope and y-intercept of the line y+px+q=0 are -2 and 5 respectively. Find p and q. Thank you!

p = 2, q = - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y + px + q = 0 ( subtract px + q from both sides )

y = - px - q ← in slope- intercept form

with slope m = - p = - 2 ( multiply both sides by - 1 )

p = 2

and y- intercept = - q = 5 ( multiply both sides by - 1 )

q = - 5

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12