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PilotLPTM [1.2K]
3 years ago
14

Factor -1/3 out of -1/3x-12

Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0
-\frac{1}{3}x-12\ \ \ | put\ -\frac{1}{3}\ in\ front\ of\ the\ bracket\\\\
-\frac{1}{3}(x+36)\\\\
Solution\ is\ -\frac{1}{3}(x+36)
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I WILL GIVE BRAINLEST!!! (6 points!)
vlada-n [284]

Answer:

OPTION A: 2x + 3y = 5

Step-by-step explanation:

The product of slopes of two perpendicular lines is -1.

We rewrite the given equation as follows:

2y = 3x + 2

⇒ y = $ \frac{3}{2}x + 1 $

The general equation of the line is: y = mx + c, where 'm' is the slope of the line.

Here, m = $ \frac{3}{2} $.

Therefore, the slope of the line perpendicular to the line given = $ \frac{-2}{3} $ because $ \frac{3}{2} \times \frac{-2}{3} = -1 $.

To determine the equation of the line passing through the given point and a slope we use the Slope - One - point formula which is:

                                  y - y₁ = m(x - x₁)

The point is: (x₁, y₁) = (-2, 3)

Therefore, the equation is:

y - 3 = $ \frac{-2}{3} $(x + 2) $

⇒ 3y - 9 = -2(x + 2)

⇒ 3y - 9 = -2x - 4

⇒ 2x + 3y = 5 is the required equation.

6 0
3 years ago
Read 2 more answers
The test results for 4 students are: 96, 83, 78, and 83. If one more student's test score of 87 is added, what would increase? H
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Well the average would change from 85 to 85.4
5 0
3 years ago
One gallon is equal to about 3.785 liters. What is this amount rounded to the nearest tenth? To the nearest hundredth? Show your
Leokris [45]

Answer:

3.8 ; 3.79 ; 3

Step-by-step explanation:

Given that:

1 gallon is equal to about 3.785 litres

3.785 to the nearest tenth :

Tenth digit = 7 ; round up 8 to 1 and add to 7

Hence,

3.785 = 3.8 (nearest tenth)

3.785 to the nearest hundredth :

Hundredth digit = 8 ; round up next digit 5 to 1 and add to 8

3.785 = 3.79 ( nearest hundredth)

What is the greatest number of whole liters of water you could pour into a one-gallon container without it overflowing?

The greatest Number of whole liters of water that could be poured into a 1 gallon container without it overflowing is 3 liters because, rounding up 3.785 to the nearest integer of 4 means we will exceed the maximum litres by about 0.215 gallons and hence, cause the container to overflow.

3 0
2 years ago
Anyone ??<br> I’m confused
Ad libitum [116K]
+2+(-3)+(-1)+4(-5)+(-3) ok so first 2 is positive and 3 is negative there both different signs so u subtract +2+(-3)=-1+(-1)=0+4=4+(-5)=-1+(-3)=-4 your answer is 4
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3 years ago
A box has a length of 4 inches and a width of 8 inches. If the volume is 192 cubic inches, what is the height of the box?
melamori03 [73]
C) 6 inches

4•8=32
192/32 = 6
8 0
3 years ago
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