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umka2103 [35]
2 years ago
11

Use the point and the slope to graph each line. Write the equation of the line. The line contains point (2, –2) and is perpendic

ular to a line with slope –1.
Mathematics
2 answers:
ss7ja [257]2 years ago
8 0

Answer:

y = x - 4

Step-by-Step Explanation:

Perpendicular lines have slopes that are negative reciprocals—multiplying their slopes result in -1.

Given the slope of a line m = -1, then it means that the slope of the other line must be 1 (because multiplying the slope of line 1  (m1 = -1), and the slope of the other line (m2 = 1) results in: -1 × 1 = -1).

Therefore, given the slope of line 2 (m2 = 1), and the point (2, -2), we could plug these values into the slope-intercept form and solve for the y-intercept (b):

y = mx + b

-2 = 1(2) + b

-2 = 2 + b

Subtract 2 from both sides to solve for b:

-2 - 2 = 2 - 2 + b

-4 = b

Therefore, the y-intercept (b) = -4.

Hence, the equation of the perpendicular line is: y = x - 4

Please mark my answers as the Brainliest if you find my explanation helpful :)

Montano1993 [528]2 years ago
5 0
The answer is Y=x-4 hope this helps
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Balu and Pumba shared 2/3 of a cake. Balu got to eat three times as much cake as Pumba. What fraction of the whole cake did Balu
MatroZZZ [7]

Answer:

In fraction, Balu ate 1/2 of the whole cake

Step-by-step explanation:

Balu and Pumba shared 2/3 of a cake.

Balu eats three times as much cake as Pumba.

So let's take the 2/3 they shared as a whole.

Let's Balu share be x

And pumbs share be y

X = 3y

But x + 3y = 2/3

Since x = 3y

Y = x/3

x + x/3 = 2/3

4x/3 = 2/3

X = (2*3)/(4*3)

X = 2/4

X = 1/2

Balu ate half of the whole cake

In fraction, Balu ate 1/2 of the whole cake

6 0
2 years ago
Write an inequality that represents eight less than three times a number is more than 22
inysia [295]
Let x represent the number.
"three times a number" is 3x
eight less than "three times a number" is 3x-8
"is more than 22" is "> 22"

Your inequality is
  3x-8 > 22
5 0
3 years ago
Read 2 more answers
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Mariulka [41]

Answer:

The answer is 55 6/9, but when simplified, it is 55 1/3

4 0
2 years ago
Which statement is true? A. 2x – 1 = 13 and x = 6 B. 2x – 1 = 13 and x = 7 C. 2x + 1 = 13 and x = 7 D. 2x – 1 = 13 and x = 11
alexandr1967 [171]

Answer:

B. 2x – 1 = 13 and x = 7

Step-by-step explanation:

We are given 4 equations and a solution for each. We have to tell which of the given solution satisfies the given equation.

Option A.

2x -1 = 13 and x = 6

Using this value in the equation, we get:

2(6) -1 = 13

12 - 1 = 13

11 = 13, which is not true. Hence this option is not valid

Option B.

2x - 1 = 13 and x = 7

Using the value in the equation, we get:

2(7) - 1 =13

14 - 1 =13

13 = 13, which is true. Hence this option is valid.

Option C.

2x + 1 =13 and x = 7

Using the value in the equation, we get:

2(7) + 1 = 13

15 = 13, which is not true. So this option is not valid

Option D.

2x - 1 = 13 and x = 11

Using this value in the equation, we get:

2(11) - 1 = 13

21 = 13, which is not true. Hence this option is not valid.

6 0
2 years ago
Nnh-jzpz-tyg. join today link fast guys please​
Sedaia [141]

Answer:

naaa im good bby

Step-by-step explanation:

3 0
3 years ago
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