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ziro4ka [17]
3 years ago
5

Find the vertex of the graph of the function. f(x) = (x + 6)^2 + 3

Mathematics
2 answers:
suter [353]3 years ago
7 0

\bf ~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ f(x) = (x+6)^2+3\implies f(x) = [x-(\stackrel{h}{-6})]^2\stackrel{k}{+3}~\hfill \stackrel{vertex}{(-6~~,~~3)}

Oksi-84 [34.3K]3 years ago
6 0

Answer:

(-6,3)

Step-by-step explanation:

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An Equilateral Triangle has sides that all measure 10 inches. What is
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Answer:

easy peasy lemon squeasy

Step-by-step explanation:

1. base of triangle: it is an equilateral triangle, so any side of the triangle you take is the base, (usually the largest side of the triangle is the base)

so that would be => 10 inches,

2. a property of an equilateral triangle is that , the median of the triangle coincides with the height of the triangle,

therefore, the height bisects the base and makes a right triangle with another side, therefore by using the Pythagoras theorem, we find it to be 8.66(approx)

now,

area of the triangle would be (putting the values we just found in the formula given)

=> [(10)(8.66)]/ 2

=>43.3 square inches

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3 years ago
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How to solve Which ordered pair is a solution for x − 3y = 1?
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5 0
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Plotting these two equations on a graph.<br><br> p=6-2q<br> p=4+q
Mekhanik [1.2K]
Put into slope intercept form, y=mx+b where m=slope
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subsitute values for q and get values for p
q=0, p=6
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6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.
vova2212 [387]

Answer:

The volume of the prism is 1,299\ in^{3}

Step-by-step explanation:

we know that

The volume of the prism is equal to

V=BL

where

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we have

L=30\ in

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substitute

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4 0
3 years ago
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