5400/10251 in simplest form 5400/10251 as a decimal number 5400/10251 as a percentage

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

4 0

600/1139 (5400/10251 Simplest)
0.62677787 (decimal)
52.67778753 % (percent)

I think

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Kelly reduced the size of a portrait to have a width of 10 inches. if she used a scale of 1 inch :2 inches, what was the width o

NARA [144]

So basically you use the ratio they have given you. You either multiply by 2 if image is enlarged or divide by 2 if it is reduced. (Keep in mind I got the 2 from your ratio : 1inch : 2inches) Therefore the find the original width, you multiply 10 by 2, giving you 20 inches.

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3 years ago

Quadratic form to vertex form with a vertex of (-4,-1) and a y-intercept of 7

Arlecino [84]

The quadratic function in vertex form is:

y = a(x - h)^2 + k

Where:

vertex = (h, k)
Axis of symmetry: x = h

The value of “a” determines whether the graph opens up or down, and makes the parent function wider or narrower.

The value of “h” determines how far left or right the parent function is translated.

The value of “k” determines how far up or down the parent function is translated.

Now that we have these definitions, we can substitute the given values into the vertex form to solve for “a”:

Use vertex = (-4, -1) and y-intercept, (0, 7):

7 = a(0+ 4)^2 - 1
7 = a(4)^2 - 1
7 = a(16) - 1

Add 1 to both sides:

7 + 1 = a(16) - 1 + 1
8 = 16a

Divide both sides by 16 to solve for “a”:

8/16 = 16a/16
1/2 = a

Since a = 1/2 (which is positive, implying that the parabola opens upward), and the vertex occurs at point (-4, -1) as the minimum point:

The quadratic equation in vertex form is:

y = 1/2(x + 4)^2 - 1

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