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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Answer:
(C)
Step-by-step explanation:
The diagram is divided ninto 5 parts that is rectangles ABCD, CHGD, GFEH and triangles CIH and DGJ.
Area of rectangle ABCD=
=
Area rectangle CDHG=
=
Area rectangle HGFE=
=
Area of triangles CIH and DIG=
=
Surface area of the triangular prism=Area of rectangle ABCD+Area rectangle CDHG+Area rectangle HGFE+Area of triangles CIH and DIG
=
Hence, option C is correct.
