Answer:
y= 8
Step-by-step explanation:
y= k/x
-8= k/4
k= -8×4= -32
y= k/x
y= -32/-4
y= 8
hope it helps!
Answer:
xy = - 27
Step-by-step explanation:
Note that
(x - y)² = x² - 2xy + y² ← substitute given values, that is
9² = 27 - 2xy
81 = 27 - 2xy ( subtract 27 from both sides )
54 = - 2xy (divide both sides by - 2 )
- 27 = xy
Answer:
I can conclude that Sally went down the slide. I used deductive reasoning to get my answer. Sally said that if it was sunny, she would go to the park. She also said that if she does go to the park, she will go down the slide. Since Sally did go to the park, I know that she did go down the slide. Based on the information I have, I can use deductive reasoning to get to my answer.
Step-by-step explanation:
Answer:
A) (-8, -16)
B) (0, 48)
C) (-4, 0), (-12, 0)
Step-by-step explanation:
A) the vertex is the minimum y value.
extremes of a function we get by using the first derivation and solving it for y' = 0.
y = x² + 16x + 48
y' = 2x + 16 = 0
2x = -16
x = -8
so, the vertex is at x=-8.
the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16
B) is totally simple. it is f(0) or x=0. so, y is 48.
C) is the solution of the equation for y = 0.
the solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case here
a=1
b=16
c=48
x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =
= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)
x1 = -8 + 4 = -4
x2 = -8 - 4 = -12
so the x- intercepts are (-4, 0), (-12, 0)
The answer is 99 your welcome
