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2 years ago

14

5/9 divided by 10/11

2 answers:

Alja [10]2 years ago

5 0

The answer is 11/18 = 0.6111

omeli [17]2 years ago

3 0

The easiest way to divide fractions is to know the method of KCF: keep it, change it, flip it! let me show you:

5/9 <span>÷ 10/11

so, respectively you would keep 5/9 the same, change the division symbol to a multiplication symbol, and flip 10/11 so it is reversed, giving you

5/9 x 11/10

then, you just multiply the numerators and the denominators

5/9 x 11/10 = 55/90

then, reduce your fraction: 55/90 = 11/18

and that's your final answer! i hope this helps you out!</span>

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The equation of the function h is h... PLEASE HELP MATH

Oduvanchick [21]

Answer:

Part A) $h(4) -m(16)=-4$

Part B) The distance between the y-intercepts is equal to 4 units

Part C) The value of h(x) will always be greater than the value of m(x) for any value of x

Step-by-step explanation:

Part A) What is the value of h(4) -m(16)

we have

$h(x)=\frac{1}{2}(x-2)^2$

For x=4

$h(4)=\frac{1}{2}(4-2)^2=2$

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take the points

(8,2) and (12,4)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

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$m=\frac{2}{4}$

$m=\frac{1}{2}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{1}{2}$

$point\ (8,2)$

substitute

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$y=\frac{1}{2}x-2$

therefore

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$m(16)=\frac{1}{2}(16)-2=6$

so

$h(4) -m(16)=2-6=-4$

Part B) we know that

The y-intercept is the value of y when the value of x is equal to zero

Find the y-intercept of h(x)

For x=0

$h(0)=\frac{1}{2}(0-2)^2=2$

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For x=0

$m(0)=\frac{1}{2}(0)-2=-2$

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Part C)

Graph both equations

$h(x)=\frac{1}{2}(x-2)^2$

$m(x)=\frac{1}{2}x-2$

using a graphing tool

see the attached figure

The value of h(x) will always be greater than the value of m(x) for any value of x

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