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8090 [49]
3 years ago
9

What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x

+ y - 2 = 0?
answers:
4x - y = 13
4x + y = 13
4x + y = -13
Mathematics
1 answer:
Serggg [28]3 years ago
4 0

Answer:

The equation of this line would be 4x + y = 13

Step-by-step explanation:

In order to find this equation we must first find the slope of the original line. To do this, we solve the original equation for y.

4x + y - 2 = 0

4x + y = 2

y = -4x + 2

The original slope (the coefficient of x) is -4, which means the new slope will also be -4 because parallel lines have the same slope. Now, we can use this slope along with the point in point-slope form to find the equation of the line. Just plug in the numbers and solve for the coefficient.

y - y1 = m(x - x1)

y + 3 = -4(x - 4)

y + 3 = -4x + 16

4x + y + 3 = 16

4x + y = 13

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Which expression is equivalent to the one below?
Citrus2011 [14]

Answer:

B. 5*\frac{1}{7}

Step-by-step explanation:

5÷7 is also \frac{5}{7}--that divided sign is what the fractional bar represents in a fraction.

now multiply 5*\frac{1}{7}=\frac{5}{1}*\frac{1}{7}=\frac{5*1}{1*7}=\frac{5}{7}

both are the same result, so your answer is Choice B.

5 0
2 years ago
Help me please!!!!!!
Leokris [45]

Answer:

Both figures have a perimeter of 112 inches.

Step-by-step explanation:

Question 5:

You are given a 6-sided shape, but only 4 sides. To find the perimeter, you need to account for the lengths of the other two sides. As all the angles are right angles, the length of the top horizontal side is equal to the combined length of the bottom two horizontal sides. Similarly the length of the left vertical side is equal to the combined length of the right two vertical sides. Because of this, you actually don't need to find the lengths of the unknown sides to answer the question.

This means the perimeter is:

P=(31 \times 2)+(25 \times 2)\\P=62+50\\P=112

Question 6:

Exactly the same process as above. Just double the longest vertical and horizontal sides (since the sum of the corresponding shorter sides is equal). You'll notice the longest horizontal side is 31, and the longest vertical side is 25...exactly the same as the previous question.

Therefore, the perimeter will again be 112 inches.

These two questions illustrate the difference between area and perimeter. Even though the perimeter of the two shapes is the same, the area of the second shape is larger than the area of the first.

3 0
3 years ago
The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her
Ierofanga [76]

Answer:

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3 0
2 years ago
An employee receives a pay increase from $35,000 per year to $37,500 per year. Calculate the percent increase. Round to the near
arsen [322]

Answer:

The percentage increase in salary of employee is 7.14 %  

Step-by-step explanation:

Given as :

The initial pay of employee = $35,000 per year

The increase pay of employee = $37,500 per year

Let The percentage increase in salary =  X %

So, X  = \frac{increase salary - initial salary}{initial salary}  × 100

Or, X  = \frac{$37,500 - $35,000}{$35,000}  × 100

Or,  X  = \frac{$2,500}{$35,000}  × 100

∴     X = 0.0714  × 100  = 7.14 %

Hence The percentage increase in salary of employee is 7.14 %   Answer

8 0
3 years ago
Read 2 more answers
A1<br> B2<br> C3<br> D4<br> what is it
Sonja [21]
I believe four is the right answer to the problem
5 0
3 years ago
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