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d1i1m1o1n [39]
2 years ago
13

At the end of a snow storm, Michael saw there was a lot of snow on his front lawn. The temperature increased and the snow began

to melt at a steady rate. The depth of snow on Michael's lawn, in inches, can be modeled by the equation S=-2t+20,S=−2t+20, where tt is the time, in hours, after the snow stopped falling. What is the xx-intercept of the equation and what is its interpretation in the context of the problem?
Mathematics
1 answer:
QveST [7]2 years ago
5 0

Answer:

x-intercept equals 10

interpretation is that, after 10 hours, all of the snow will be melted

Step-by-step explanation:

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We know that the temperature /was/ -3, so it was 3 under zero. It has /risen/ by 8, meaning we have added 8 degrees to whatever the starting temperature was.

We can find out how much the temperature is right now: it was -3, went through -2, -1, 0, 1, 2, 3, 4, and now its at 5 degrees. Thats risen by 8 degrees, right? And -3+8 is the same as 8-3 (commutative property of addition, since we basically did 8+(-3)) which equals 5, so we know that we got the correct answer. :)



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The diagonals of a rectangle measure x+5 feet and 2x+1 feet what is the value of x?
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The value of x is 4.

Given that diagonals of a rectangle measure x+5 feet and 2x+1 feet as shown in the attached figure.

The diagonal of a rectangle is a line or straight line that connects the opposite corners or vertices of the rectangle.

In the given figure ABCD is a rectangle.

OA=2x+1 and OD=x+5             [Given]

AC and BD are diagonals of a rectangle.

As we know that the diagonals of a rectangle are always equal.

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We can also write it as,

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Apply the distributive property a(b+c)=ab+ac, we get

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Subtract 2x from both sides, we get

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Subtract 2 from both sides, we get

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Divide both sides by 2, we get

2x/x=8/2

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Hence, the value of x=4 when diagonals of a rectangle measure x+5 feet and 2x+1 feet.

Learn more about rectangles from here brainly.com/question/1549055.

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