Andy completes the square for the function y = x^2 + 6x -8 Which of the following functions reveals the vertex of the parabola?
2 answers:
Answer:
y = (x + 6)^2 - 17
Step-by-step explanation:
Answer:
B. y = (x + 3)^2 - 17
Step-by-step explanation:
When Andy completes the square, he adds and subtracts the square of half the x-coefficient. That is, he adds and subtracts (6/2)² = 9:
... y = x² +6x +9 -8 -9
... y = (x² +6x +9) -17
... y = (x +3)² -17 . . . . . . . . matches selection B
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Step-by-step explanation:
Given
- 8x + 8 = 51
- 8x = 51 - 8
- 8x = 43
x = - 43 / 8
Hope it will help :)❤
Answer:
11 m and 14 m
Step-by-step explanation:
Legs: x and y
---
1/2xy= 77 ⇒ xy= 154
√x²+y²= √317 ⇒ x²+y²=317
x²+y²+2xy= (x+y)²= 2*154+317= 625 ⇒ x+y= √625= 25
x= 25-y
xy=154 ⇒ y(25-y)= 154 ⇒ 25y- y²=154 ⇒ y²- 25y +154=0 ⇒ y=11 and y=14
x= 25-y= 14 and 11
B. 5, 9
x = 5
y = 9
y - x = 4
(9) - (5) = 4
True
hope this helps
U would multiply the number on the side and the number on the bottom. hope that helps :)
x+y=120_______1
x=4*y_________2
x=4y
substitute 4y for x in equation 1
`4y+y=120
5y=120
eliminate the coefficient of y
y=120/5
y=24
now,input 24 for y in equation 2
`x=4y
x=4*24
x=96
thus, the numbers are
96 and 24
