[a] x = 175 - 7.5p
For a, we are isolating the x variable to one side of the equation.
0.4x + 3p = 70
0.4x = - 3p + 70
x = - 7.5p + 175
[b] x = 115
For b, we are solving for x when p = 8.
x = - 7.5p + 175
x = - 7.5(8) + 175
x = 115
Answer:
(x−2)2=11
Step-by-step explanation:
Answer:
184.0
Step-by-step explanation:
Answer:
PT = 1.5 , VT = 1.5√3
Step-by-step explanation:
Given
PV = 3
With reference angle 60°
hypotenuse (h) = 3
perpendicular (p) = ?
sin 60° = p/h
√3 / 2 = p / 3
p = √3 * 3 / 2
p = 1.5√3
With reference angle 30°
hypotenuse (h) = 3
perpendicular (p) = ?
sin 30° = p/h
1/2 = p/ 3
p = 1.5
Hope it will help :)❤
Answer:
D
Step-by-step explanation:
To obtain vertex form from the given equation use the method of completing the square
given 8y + x² = - y² - 181 + 26x
rearrange having the x terms and y terms together
add y² to both sides
8y + x² + y² = - 181 + 26x ( subtract 26x from both sides )
x² - 26x + y² + 8y = - 181
add (half the coefficient of the x/y terms )² to both sides
x² + 2(- 13)x + 169 +y² + 2(4)y + 16 = - 181 + 169 + 16
completing the square on both the x and y terms
(x - 13)² + (y + 4)² = 4 → D
