Which statement about the graphs of h(x)=−2x+4 and k(x)=4x−4 is correct?
1 answer:
Answer:
A: The x-intercept of k(x) is half the x-intercept of h(x)
Step-by-step explanation:
Answer choices B, C, and D are concerned with slopes and y-intercepts. The coefficients of x in the functions are different and are related by a factor of -2, so the lines are not parallel, and one slope is not twice the other. The y-intercepts (constants) in each function are different, so they graphs do not cross the y-axis at the same place.
Hence answer choices B, C, and D can be eliminated.
The x-intercepts are found by setting y=0 and solving for x:
h(x) = 0 = -2x +4 ⇒ x = 4/2 = 2
k(x) = 0 = 4x -4 ⇒ x = 4/4 = 1
The x-intercept of k(x) is half that of h(x). . . . . . . matches choice A
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Volume =
Notice that our cylinder has a radius of 7 and a height of 16. So we have
() (7)
(16)
Let's start by simplifying the exponents. ≈ 49
() (49) (16)
49 × 16 = 784
We can add a unit so we have 784.
Answer:
diameter = 8 miles
Step-by-step explanation:
Area of a circle = πr²
πr² = 50.24
3.14*r² = 50.24
r²=
r² = 16
r² = 4²
r=√4²
r = 4 miles
diameter = 2 *radius = 2*4 = 8 miles