3 years ago

Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths.

Mathematics

1 answer:

borishaifa [10]3 years ago

4 0

So where's the rest of the question?

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3 years ago

2x + 4y = 14 and 3x – 4y = -39 solve by elimination

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Step-by-step explanation: i hope i did it right tell if i didnt

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3 years ago

sara says. "if you subtract 14 from my number and multiply the difference by -4, the result is -80." What is Sara's number?

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Step-by-step explanation:

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The graph of a quadratic function has a vertex at (5,3) and goes through the point (-1,-9). What is the equation of the function

kotegsom [21]

Answer:

$y=-\frac{1}{3} (x-5)^2+3$

Step-by-step explanation:

We are given the following;

Vertex of a quadratic function = (5,3)
A point where the function passes through (-1, -9)

Required to determine the equation of the function;

We need to know the vertex form of a quadratic function is;

$y=a(x-h)^2+k$ , where h and k correspond to the vertex (h,k)

Therefore, we can replace the variables h and k of the vertex in the equation;

That is;

$y=a(x-5)^2+3$

Then we use the equation and the point given to solve for a

x = -1 and y = -9

We get;

$-9=a(-1-5)^2+3\\-9 = a(36) + 3\\-9 - 3 = 36a\\-12 =36a \\a=-\frac{1}{3}$

Substituting the values of a, h and k in the equation, we get;

$y=-\frac{1}{3} (x-5)^2+3$

Thus, the equation of the function in the vertex form is $y=-\frac{1}{3} (x-5)^2+3$

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3 years ago