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horsena [70]
3 years ago
5

Moises is determining the solution to the system of equations that is show below. Equation representing line A: mc018-1.jpg Poin

ts on line B: (3, –12) and (9, –24) Step 1: Determine the slope for B: mc018-2.jpg Step 2: Determine the y-intercept for B: mc018-3.jpg Step 3: Write the equation in slope-intercept form: mc018-4.jpg
Mathematics
1 answer:
dimulka [17.4K]3 years ago
6 0
Answer:
equation of line is:
y = -2x - 6

Explanation:
The general form of the line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept

(a) getting the slope of the line:
slope of the line is calculated using the following rule:
slope of line (m) = (y2-y1) / (x2-x1) = (-24--12) / (9-3) = -2
The equation now becomes:
y = -2x + c

(b) getting the y-intercept:
The two given points belong to the line. Therefore, to get the y-intercept, we will use one of the points and substitute in the equation and solve for c.
I will use the point (3,-12)
y = mx + c
-12 = -2(3) + c
-12 = -6 + c
c = -12 + 6
c = -6

Based on the above, the equation of the line is:
y = -2x - 6

Hope this helps :)
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2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
1 and 2 please answer for me :)
bezimeni [28]
Number 1 is proportional because if u simplify 2/24 u get 1/12
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7 0
3 years ago
Kenzie makes quilts from blue and purple pieces of fabric. The diagram shows the ratio of blue pieces to
REY [17]

The purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.

<h3>What is the ratio?</h3>

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The question is incomplete.

The complete question is in the picture, please refer to the picture.

Total number of pieces = 3+5 = 8

So, the purple pieces = 5(5/8) = 35

Total pieces = 20/(5/8) = 4×8 = 32

Thus, the purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.

Learn more about the ratio here:

brainly.com/question/13419413

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2 years ago
vOfficials at a major university wanted to know what percent of their students recycle paper. They conducted a random survey and
Svetllana [295]

Answer:

The probability is 0.95

Step-by-step explanation:

In this question, we are interested in calculating the probability that a randomly selected student of the university recycles at least some of the times

Mathematically, the probability that student recycles at least some of time = 1 - probability that the student never recycles all the time

From the question, the probability that the student never recycles all the time = 0.05

Substituting this into the equation given above;

Probability that a randomly selected student at the university recycles at least some of the time = 1-0.05 = 0.95

6 0
3 years ago
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