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Marina86 [1]
4 years ago
7

Which is the equation for the line perpendicular to y = –5/3 x + 11 1/3 and containing P(–2, 3)?

Mathematics
1 answer:
kati45 [8]4 years ago
7 0
Okay, to answer this question, 
<span>Perpendicular lines have slopes that are inverse of one another and with opposite signs so, 
If a line has a slope of m= -2 than a perpendicular line will have slope m=1/2
If a line has a slope of m= -3/4 than a perpendicular line will have slope m=4/3 If a line has a slope of m= 6 than a perpendicular line will have slope m=-1/6

So, just find the slope of your line, using it, get the slope of the line that will be perpendicular and then just get the equation for a line that has that slope and passes through point (-2,3) using: y - y1 = m(x - x1)
I hope I helped you with my answer</span>
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Where on the graph of 2x - 6y = 7 is the x-coordinate twice the y-coordinate?
Nikolay [14]

Answer:

The required point is P(-7,\frac{-7}{2}) where, x-coordinate twice the y-coordinate on line 2x - 6y = 7

Step-by-step explanation:

Given equation of line is 2x-6y=7

To find point on graph whose x-coordinate twice the y-coordinate:

Let y be y-coordinate of point

Hence, x-coordinate of point will be 2y

The required point is P(2y,y) on equation of line 2x-6y=7

Now,

2x-6y=7

2(2y)-6y=7

-2y=7

y=\frac{-7}{2}

Thus,

The required point is P(-7,\frac{-7}{2})

Note: Figure show equation of line red line and point P as blue dot.

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3 years ago
A rectangular athletic field is twice as long as it is wide. if the perimeter of the athletic field is 192 ​yards, what are its​
qaws [65]
P = 2(L + W)
P = 192
L = 2W

192 = 2(2W + W)
192 = 2(3W)
192 = 6W
192/6 = W
32 = W <=== the width is 32 yards

L = 2W
L = 2(32)
L = 64 <=== the length is 64 yards
5 0
3 years ago
Solve x^2=18 where x is a real number
V125BC [204]

Answer:

x = ±3√2

or in decimal:

x = ±4.24

Step-by-step explanation:

x² = 18

x = ±√18

= ±√2√9

= ±3√2

6 0
3 years ago
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Answer/Step-by-step explanation:

The angle CPA must be 90° because AB is a straight line and it is a measure of 180° and 180°-90° = 90°

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the answer is 8

Step-by-step explanation:

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3 years ago
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