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Natalka [10]
1 year ago
12

Find an equation of the line that contains the given point and is perpendicular to the given line. Using a graphing calculator t

o verify the result.
(-9,12), 5x-6y=7
Mathematics
1 answer:
Orlov [11]1 year ago
6 0

The equation of the line is y=2x+1.

We must must transform the standard form equation 3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

3x+6y=5 (Subtract 3x on both sides.)

6y=−3x+5 (Divide both sides by 6.)

y=− 3/6x+ 5/6

​y=− 1/2x+ 5/6

​The slope of our first line is equal to − 1/2.Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is − 1/x

​The negative reciprocal of − 1/2 is equal to 2, therefore 2 is the slope of our line.

Since the equation of line passing through the point (1,3), therefore substitute the given point in the equation y=2x+b:

3=(2×1)+b

3=2+b

b=3−2=1

Substitute this value for b in the equation y=2x+b:

y=2x+1

Hence, the equation of the line is y=2x+1.

For more information about equation of line, visit

brainly.com/question/18831322

#SPJ9

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sammy [17]

Answer:

  1. 4
  2. 23

Step-by-step explanation:

4\div \:2+5-3\\=2+5-3\\=4\\\\3+5\times \:8\div \:2\\=3+20\\=23

7 0
3 years ago
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A figure is part blue and part red.it is 5/8 red what part of the figure is blue
oksian1 [2.3K]
If \frac{5}{8} is red, than the remaining \frac{3}{8} would be blue. \frac{5}{8} + \frac{3}{8} would give you \frac{8}{8}.
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3 years ago
Calculate the perimeter and area of the triangle formed by the coordinates K (-4,-1) ,L(-2, 2), and M (3,-1).
Y_Kistochka [10]

Perimeter = 16.4 units

Using the heron's formula, Area ≈ 10.4 units².

<h3>What is the Heron's Formula?</h3>

The heron's formula is used to find the area of a triangle with known side lengths of all its three sides, a, b, and c. The heron's formula is given as: Area = √[s(s - a)(s - b)(s - c)], where s = half the perimeter of the triangle

s = (a + b + c)/2.

Given the following:

K (-4,-1) ,

L(-2, 2),

M (3,-1)

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find KL, LM, and KM.

KL = √[(−2−(−4))² + (2−(−1))²]

KL = √13 ≈ 3.6 units

LM = √[(−2−3)² + (2−(−1))²]

LM = √34 = 5.8 units

KM = √[(−4−3)² + (−1−(−1))²]

KM = √49 = 7 units

Perimeter = 3.6 + 5.8 + 7 = 16.4 units

Semi-perimeter (s) = 1/2(16.4) = 8.2 units

KL = a ≈ 3.6 units

LM = b = 5.8 units

KM = c = 7 units

s = 8.2

Plug in the values into √[s(s - a)(s - b)(s - c)]

Area = √[8.2(8.2 - 3.6)(8.2 - 5.8)(8.2 - 7)]

Area = √[8.2(4.6)(2.4)(1.2)]

Area = √108.6336

Area ≈ 10.4 units²

Learn more about heron's formula on:

brainly.com/question/10713495

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We have to calculate by multiplying 5,000 and total number of months
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