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iVinArrow [24]
3 years ago
7

The point-slope form of the equation of a line is

Mathematics
1 answer:
harina [27]3 years ago
7 0

Answer:

<h2>y-9 = -1/12(x-8)</h2>

Step-by-step explanation:

To write an equation of a line perpendicular to the graph of y = 12x-3 and passing through the point, we will follow the following steps.

The standard form of point-slope form of the equation of a line is  given as

y − y1 = m(x − x1),

m is the slope of the unknown line

(x1, y1) is a point on the line.

Step 1: We need to calculate the slope of the known line first,

Given y = 12x-3

from the equation, m = 12 on comparison.

Step 2: get the slope of the unknown line. since the line given is perpendicular to the line y = 12x - 3, the product of their slope will be -1 i.e Mm = -1

M = -1/m

M is the slope of the unknown line

M = -1/12

Step 3: We will substitute M = -1/12 and the point (8, 9) into the point-slope form of the equation of a line i.e y − y1 = M(x − x1),

M = -1/12, x1 = 8 and y1 = 9

y-9 = -1/12(x-8)

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Vanyuwa [196]

Answer:

230 cm squared

Step-by-step explanation:

Split the shape into a triangle and a rectangle

The area of a triangle is base x height / 2

20 x 9= 180/2= 90             (9 because you do 16-7 to find height of triangle)

Find the area of the rectangle=

7 x 20= 140

Add them up

140+90= 230cm squared

<em>I hope this helped :)</em>

7 0
3 years ago
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What is z if -1/3+2z=-5/6?
Wittaler [7]
-1/3+2z=-5/6
-2/6+2z=-5/6
Add 2/6 to both sides:
2z=-3/6
2z=-1/2
Divide both sides by 2
z=-1/4

Hope this helps :)
7 0
3 years ago
what is the slope intercept form of the linear equation with a graph that passes through (-2,2) and is perpendicular to the grap
qwelly [4]

Hey there!!

Steps to get into equation which is perpendicular:

  • Change the slope
  1. The slope of a perpendicular line is always negative reciprocal.
  • Take the point and get that into point-slope form.
  1. y - y = m ( x - x )
  • Convert this equation into slope-intercept form.

'm' is the slope.

We have the slope as 1/3

The perpendicular slope would be -3.

Point slope:

The point = (-2,2)

y - 2 = -3( x - (-2) )

y - 2 = -3(x+2)

y - 2 = -3x -6

Adding 2 on both sides:

y = -3x - 4

<em>Hence, the equation would be : </em>

<u><em>y = -3x - 4 </em></u>

Hope it helps!


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3 years ago
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raketka [301]
12/49! hope this helps!
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3 years ago
40% of what number is 18?
vladimir1956 [14]

Answer:

45

40 percent (calculated percentage %) of what number equals 18? Answer: 45.

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3 years ago
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