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nadya68 [22]
2 years ago
7

Instructions: Solve the following equation for the variable given.

Mathematics
1 answer:
frutty [35]2 years ago
7 0

Answer:

x = -1

Step-by-step explanation:

1/4 (4x - 4) = -2(6x + 7)

1x - 1 = -12x - 14

13x = -13

x = -1

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One line passes through the points \blueD{(-3,-1)}(−3,−1)start color #11accd, (, minus, 3, comma, minus, 1, ), end color #11accd
mart [117]

Answer:

The lines are perpendicular

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

Remember that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

<em>Find the slope of the first line</em>

we have the points

(-3,-1) and (1,-9)

substitute in the formula

m_1=\frac{-9+1}{1+3}

m_1=\frac{-8}{4}

m_1=-2

<em>Find the slope of the second line</em>

we have the points

(1,4) and (5,6)

substitute in the formula

m_2=\frac{6-4}{5-1}

m_2=\frac{2}{4}

Simplify

m_2=\frac{1}{2}

<em>Compare the slopes</em>

m_1=-2

m_2=\frac{1}{2}

Find out the product

m_1*m_2=(-2)(\frac{1}{2})=-1

therefore

The lines are perpendicular

8 0
3 years ago
Read 2 more answers
Amir says the graph of<br> y= x2 + 16 has -4 as a zero. Is Amir correct?<br> Explain.
sukhopar [10]

Answer:

  • Amir is wrong

Step-by-step explanation:

The function y = x² + 16 is positive for any value of x, hence the graph has no intersection with the x-axis and therefore has no real zero's.

If no zero's, -4 also can't be its zero.

8 0
2 years ago
Read 2 more answers
This equation shows how the total amount of paper Scott's office has recycled depends on the number of weeks since they started
Elodia [21]

Answer:

1 week

Step-by-step explanation:

Given:

p = 12w

Where,

w = number of weeks the office has been on the new recycling plan

p = total kilograms of paper recycled.

How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?

Find w when p = 12

p = 12w

12 = 12w

Divide both sides by 12

w = 12/12

= 1

w = 1 week

8 0
2 years ago
Two rectangles are similar one has a length of 12 cm and a width of 9 cm and other has a width of 8 cm find the length of the se
Serga [27]

Answer:

13.5

Step-by-step explanation:

the relationship is times 1.125

meaning 9 times 1.125 is 8

Thus 12 times 1.125 is 13.5

6 0
3 years ago
How to calculate monthly salary 5,000 month salary?
Vlada [557]
We have to calculate by multiplying 5,000 and total number of months
7 0
3 years ago
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