Evaluate 3a^2 + 4b^2 for a = 2 and b = 3

A) 168

B) 48

C) 36

B

Step-by-step explanation:

Given

3a² + 4b² ( substitute a = 2 and b = 3 into the expression )

= 3(2)² + 4(3)²

= 3(4) + 4(9)

= 12 + 36

= 48 → B

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)