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Anvisha [2.4K]
3 years ago
5

Please help me ASAP!!!​

Mathematics
1 answer:
Verizon [17]3 years ago
5 0
1. Integer

2. Rational Number

3. Rational Number

4. Whole number

5. Rational Number


Let me know if these are correct. Correct if I’m wrong I don’t want to give wrong answers
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Which equation represents a line that is perpendicular to line PQ?
valentinak56 [21]

Answer:

B. y=1/3x+4

Step-by-step explanation:

Hi there!

We are given the line PQ and we want to find the line that is perpendicular to it

Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So first, let's find the slope of the line PQ

The point P is given as (-8, 7) and the point Q is given as (-4, -5)

The formula for the slope calculated from two points is \frac{y_2-y_1}{x_2-x_1} where (x_{1} y_1) and (x_2, y_2) are points

We have the needed information for the slope, but let's label the values of the points to avoid any confusion

x1=-8

y1=7

x2=-4

y2=-5

Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):

m=\frac{(-5-7)}{(-4--8)}

simplify

m=\frac{-5-7}{-4+8}

add

m=-12/4

divide

m=-3

So the slope of the line PQ is -3

As said above, perpendicular lines have slopes that have a product of -1

So to find the slope of the line perpendicular to PQ, use this formula:

-3m=-1

divide both sides by -3

m=1/3

The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.

Hope this helps!

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Step-by-step explanation:

since the two bases are 20 and 24, the shorter base is usually the shorter number, so the shorter base is 20 units. Which means, the longer base is 24 units. So, half of 24 is 12. So, the height is 12. Then I used to calculator, my results are in the picture below.

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As a retiring employee, you'll receive 1.01% of your average salary from the last five years you worked with your company.
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Answer:

124,352.56

Step-by-step explanation:

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