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olganol [36]
4 years ago
11

Which is the equation in slope-intercept form for the line that passes through (3, 7) and is perpendicular to 3x-5y=8

Mathematics
1 answer:
Natalija [7]4 years ago
5 0

Answer:

C

Step-by-step explanation:

Perpendicular lines have slopes which are the negative reciprocal of each other. To find the slope, convert 3x-5y=8 into y=mx+b form.

3x-5y=8

-5y = -3x +8

y = 3/5 x - 8/5

The slope is 3/5 so its perpendicular slope is -5/3. Write the equation of this line through the point (3,7) using point slope form. Then simplify into y=mx+b form.

y-y_1=m(x-x_1)\\y-7 = -\frac{5}{3}(x-3)\\y-7=-\frac{5}{3}x + 5\\y = -\frac{5}{3}x+12

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What is the perimeter of the polygon?
mr_godi [17]
Welp. I sure hope you like the Pythagorean theorem...
Top line:
One point is (-2,-2) while the other is (3,-3)
Thus the distance in between is sqrt((3-(-2))^2+(-3-(-2))^2)=sqrt(5^2+(-1)^2)=sqrt(26)
Most right line:
One point is (4,-6) while the other is (3,-3)
Thus the distance in between is sqrt((3-4)^2+(-3-(-6))^2)=sqrt((-1)^2+3^2)=sqrt(10)
Most bottom line:
One point is (1,-6) while the other is (4,-6)
Thus the distance in between is sqrt(4-1)^2+(-6-(-6))^2)=sqrt(3^2+0^2)=sqrt(9)=3
Most bottom left line:
One point is (1,-6) while the other is (-2,-4)
Thus the distance in between is sqrt((1-(-2))^2+(-6-(-4))^2)=sqrt(3^2+(-2)^2)=sqrt(13)
Lastly the most left line:
One point is (-2,-2) while the other is (-2,-4)
Thus the distance in between is sqrt((-2-(-2))^2+(-2-(-4))^2)=sqrt(0^2+(2)^2)=sqrt(4)=2
Thus to find the perimeter, we add up all the sides to get
sqrt(26)+sqrt(10)+3+sqrt(13)+2=16.8668 or B




6 0
3 years ago
29x97 broken apart <br> need help now <br> Factors willl mark brainlyest
IgorC [24]

I don't know what you mean by "Broken apart," but I'll do my best...

20 x 90 = 1800

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I hope this helped you! :)

6 0
2 years ago
21/ 21 What is the equivalent​ decimal?
Leokris [45]

Answer:

1

Step-by-step explanation:

21/21 is whole and the a whole as a whole number is equivalent to 1.

8 0
3 years ago
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Anna71 [15]

Answer:

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RSB [31]

Answer: closed circle pointing to the right.

Step-by-step explanation:

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The inequality sign will change the moment you multiply or divide both sides by negative numbers

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8 0
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