Answer:
the are parallel to eachother
He ate 8/15 of a pound of the cookies.
If we are looking for 4/5 of something, we just multiply the amount by 4/5.
To multiply fractions, just multiply straight across.
2 x 4 = 8 in the numerator
3 x 5 = 15 in the denominator
To reflect in the line y = -x + 6, we translate everything down 6 first. This will make it seem like we are reflecting in the line y = -x
(x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
(x,y) → (-(y-6), -x)
Then we move everything back up again
(x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
(-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.
Answer:
(5, -9)
Step-by-step explanation:
f(x)=(x-8)(x-2)
We want the vertex. So let us get this in Vertex Form.
f(x) = (x - 8)(x - 2) = x^2 + 16 - 10x
f(x) = x^2 - 10x + 16
f(x) = x^2 -10x + 25 - 25 + 16
f(x) = (x^2 -10x + 25) - 25 + 16
f(x) = (x - 5)^2 - 9
Vertex at (5, -9)
Answer: The answers are 20% and 40%
Step-by-step explanation:
Cost price is $240,000
The percentage of $48000 will be
(48000/240000) × 100
= 20%
The percentage of $96000 will be
(96000/240000) ×100
= 40%
