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pashok25 [27]
3 years ago
10

A. Find the slope of the line that passes through the points (2,-5) and (-2,3).

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
8 0

PART A:

Solve for the slope by solving change in y over change in x. We have (3-(-5)/(-2-2) = 8/-4=-2

PART B:

Change in to y=mx+b: -5y = -2x-10. Divide all terms by -5: y = 2/5x + 2. The slope is 2/5 and the y-intercept is 2.

PART C:

Remembering from part a that m=change in y/change in x, we have the equation: -4=1-(-9)/0-x. If we simplify, we have -4=10/0-x. If we multiply both sides from 1/10 we have: -2/5 = -x. So, x = 2/5.

PART D:

We can use point-slope form first:

y-5=-7(x+1). Then we solve the equation! y-5 = -7x-7. After adding 5 to both sides, we have the equation: y=-7x-2.

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Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

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Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

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Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

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3 years ago
Which of the following functions has the greatest y-intercept?
Rina8888 [55]
(2, 8) because 8 is not negative

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Please help me with #4 <br> (10 points )
myrzilka [38]

Answer:

40 feet

Step-by-step explanation:

We are given a right isosceles triangle having lengths of two sides 12 feet and 16 feet.

<em>Since, the triangle is an isosceles triangle i.e. two sides of the triangle are equal.</em>

That is, the three sides of the triangle are 12 feet, 12 feet and 16 feet.

We know that, Perimeter of a triangle = Sum of the sides

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8 0
4 years ago
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Alik [6]

Answer:

Simplify the expression.

Exact Form:

77 /10

Decimal Form:

7.7

Mixed Number Form:

<h2><u>7  7/ 10 </u></h2>

Hope This Helps

8 0
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