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3 years ago

M=−(4+m)+2 what is m

Mathematics

1 answer:

Alchen [17]3 years ago

5 0

Answer: m=-1

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

m-(-(4+m)+2)=0

1.1 Pull out like factors :

2m + 2 = 2 • (m + 1)

2.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

2.2 Solve : m+1 = 0

Subtract 1 from both sides of the equation :

m = -1

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If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a

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Answer:

$m_2 = -\frac{3}{4}$ -- (a)

$m_2 = -\frac{7}{3}$ -- (b)

$m_2 = -\frac{1}{4}$ --- (c)

$m_2 = -3$ -- (d)

Step-by-step explanation:

Given

$a.\ m = \frac{4}{3}$

$b.\ m = \frac{3}{7}$

$c.\ m = 4$

$d.\ m = \frac{1}{3}$

Required

Determine the slope of a perpendicular line

In geometry, the condition for perpendicularity is:

$m_2 = -\frac{1}{m}$

This formula will be applied in solving these questions.

$a.\ m = \frac{4}{3}$

$m_2 = -\frac{1}{m}$

Substitute 4/3 for m

$m_2 = -\frac{1}{4/3}$

Express as a proper division

$m_2 = -1/ \frac{4}{3}$

Convert to *

$m_2 = -1* \frac{3}{4}$

$m_2 = -\frac{3}{4}$

$b.\ m = \frac{3}{7}$

$m_2 = -\frac{1}{m}$

Substitute 3/7 for m

$m_2 = -\frac{1}{3/7}$

Express as a proper division

$m_2 = -1/ \frac{3}{7}$

Convert to *

$m_2 = -1* \frac{7}{3}$

$m_2 = -\frac{7}{3}$

$c.\ m = 4$

$m_2 = -\frac{1}{m}$

Substitute 4 for m

$m_2 = -\frac{1}{4}$

$d.\ m = \frac{1}{3}$

$m_2 = -\frac{1}{m}$

Substitute 1/3 for m

$m_2 = -\frac{1}{1/3}$

Express as a proper division

$m_2 = -1/ \frac{1}{3}$

Convert to *

$m_2 = -1* \frac{3}{1}$

$m_2 = -\frac{3}{1}$

$m_2 = -3$

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10% of 40 is 4

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Question 3

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Part A :

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Answer:

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Step-by-step explanation:

How many yards of material does the designer need for the 6 skirts?

First, it says that the yard is 48" wide aka 4 feet. But since it's asking for a total of 6 skirts, you multiply the yard by the number of skirts. Let's try to multiply 48 with 6.

x 6

288

So it will be 288 yards of material but we need to multiply 4 with 6.

x 6

So as you can see, 24 is 12 times as many as 288.

If you multiply 24 with 12, you will get the result of 288.

So the answer is 12 yards of material.

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How much will ALL the fabric cost?

First, it says that the cost of the fabric is $12.57 per yard.

So, since we got our answer as 12 for our first question, we gotta multiply $12.57 with 12.

12.57

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So the answer is $150.84.

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What is the cost of the fabric for ONE skirt?

First, again we check that it's $12.57 per yard.

So, if it's for only one skirt, it will be $12.57.

It says that the fabric cost $12.57 and for one skirt.

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Hope this helped! I tried to help though. I didn't read the whole thing but I tried to solve your 3 questions :) !

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