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3 years ago

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Mathematics

1 answer:

Otrada [13]3 years ago

4 0

Answer:

Step-by-step explanation:

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The length of a rectangle is twice it's width . If the area of the rectangle is 50 yd(second power) find its permeter

Juliette [100K]

The length would be 10yds and the width would be 5yds as they multiply together to give 50yds squared as an area and 10 is twice the amount of 5. So that means the perimeter would be 10+10+5+5 which = 30yds.

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3 years ago

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Irina rode her bike to work at an average speed of 16 miles per hour. It started to rain , so she got a ride home along the same

Lyrx [107]

Here, the distance traveled is not given, but Irina's bike-riding speed is: it is 16 mph.

Let the distance traveled be d. Then d = (27 mph)(0.4 hr) = 10.8 miles.

By bicycle, distance = rate times time. Here, 10.8 miles = (16 mph)(time), and so

10.8 mi
time = --------------- = 0.675 hour (40.5 minutes).
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3 years ago

Solve for x.

Ivahew [28]

ANSWER

$x=\frac{2-\sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

We have

$3x^2-4x-2=0$

Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

$3x^2-4x=2$

Dividing through by 3 gives

$x^2-\frac{4}{3}x= \frac{2}{3}$

Adding $(-\frac{2}{3})^2$ to both sides gives

$x^2-\frac{4}{3}x+(-\frac{2}{3})^2= \frac{2}{3}+(-\frac{2}{3})^2$

The expression on the Left Hand side is a perfect square.

$(x-\frac{2}{3})^2= \frac{2}{3}+\frac{4}{9}$

$\Rightarrow (x-\frac{2}{3})^2= \frac{10}{9}$

$\Rightarrow (x-\frac{2}{3})=\pm \sqrt{\frac{10}{9}}$

$\Rightarrow (x)=\frac{2}{3} \pm {\frac{\sqrt{10}}{3}$

Splitting the plus or minus sign gives

$x=\frac{2- \sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

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3 years ago

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What is the term in 3y=7x-9

ehidna [41]

The term in that equation is 3x 7x and -9 hope this helps

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3 years ago

write the equation of a line in any form that is parallel 2y = 4x + 8 through the point of (1,3) plz and thank you

V125BC [204]

Answer:

y = 2x+1

Step-by-step explanation:

$2y =4x+8\\\\ Write \:in \: y =mx+b \:form\\\\\frac{2y}{2} = \frac{4x}{2} +\frac{8}{2} \\\\y =2x +4\\m =2\\(1,3) =(x_1,y_1)\\Substitute\:values\:into\:point-slope\:form\\\\y-y_1=m(x-x_1)\\y-3=2(x-1)\\y-3 = 2x-2\\y=2x-2+3\\y =2x+1$

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3 years ago

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