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scoray [572]
2 years ago
5

What is the value of h in this graph ? F(x)= |x - h|

Mathematics
2 answers:
Misha Larkins [42]2 years ago
8 0

Answer:

h=4

Step-by-step explanation:

We know that the vertex(lowest point) of |x-h| is (h, 0).

By inspection, we can see that the vertex of the graph is (4, 0).

So, the lowest point of F(x)=|x-h| is (4, 0), which means \boxed{h=4}

vichka [17]2 years ago
5 0

Answer:

Step-by-step explanation:

0=|x-h|

x=h,

but y=0 when x=4

so h=4

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musickatia [10]

Check the picture below.

now, we're making an assumption that, the two blue shaded region are equal in shape, and thus if that's so, that area above the 14 is 6 and below it is also 6, 14 + 6 + 6 = 26.

so hmm if we simply get the area of the trapezoid and subtract the area of the yellow triangle and the area of the cyan triangle, what's leftover is what we didn't subtract, namely the shaded region.

\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ h=15\\ a=14\\ b=26 \end{cases}\implies A=\cfrac{15(14+26)}{2}\implies A=300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{trapezoid}{300}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(26)(9)}~~ - ~~\stackrel{cyan~triangle}{\cfrac{1}{2}(15)(6)}} \\\\\\ 300~~ - ~~117~~ - ~~45\implies 138\qquad \textit{blue shaded area}

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1 year ago
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Ksenya-84 [330]

Answer:

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7 0
2 years ago
Which expression is equivalent to 8^8x8^-5
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Step-by-step explanation:

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Ugo [173]

Answer:

Step-by-step explanation:

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2 years ago
Which is the best estimate for the quotient of 198.32 ÷ 9.001?
sukhopar [10]
The best estimate for the quotient of 198.32 divided by 9.001 is 20. Because if you calculate the equation, the exact answer would be 22.0331074325. The number among the choices which is closest to the exact quotient is 20. Therefore, the answer is letter C. 20. 
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