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Mrac [35]
3 years ago
12

A line passes through the points

Mathematics
1 answer:
liberstina [14]3 years ago
6 0
Slope = (5-4)/(2-(-2)) = 1/4
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144 is the _ power of 12
Yuliya22 [10]

Answer:

144 is the second power of 12

Step-by-step explanation:

Here, we want to get the power of 12 that 144 is

Mathematically;

144 = 12^2

What this mean is that we have to raise 12 to 2 to get 144

Thus, our answer is that 144 is the 2nd power of 12

4 0
3 years ago
Molly wants to constrct a circle inscribed in a triangle, while amelia wants to construct a circle circumscribed about a triangl
atroni [7]
Similarities found

each triangle must be a right triangle
the diameter of each circle must be the hypotenus of each triangle
there is a right angle (90°) for each triangle
3 0
4 years ago
Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. R
MrRa [10]
Question 1. Midpoint

Answer: M(-2,4)

Explanation:

1) The coordinates of the midpoint, M (x,y) between two points (x₁,y₁) and (x₂, y₂) are:

x = (x₁ + x₂) / 2 and y = (y₁ + y₂) / 2

2) Replacing the coordinates of the given points P (-4, 1) and Q (0,7) you get:

x = (- 4 + 0) / 2 = - 2, and
y = (1 + 7) / 2 = 4

So, the answer is M (-2,4)


Question 2: The distance between the two midpoints is:

Answer: 7.21


Explanation:

1) Use the formula of distance, which is an application of Pythagora's theorem:

d² = (x₂ - x₁)² + (y₂ - y₁)²

2) Substitute values:

d² = (0 - (-4))² + (7 - 1)² = 4² + 6² = 16 + 36 = 52 ⇒ d = √52 ≈ 7.21
3 0
4 years ago
Please show me the steps of 78.32/0.22
iragen [17]
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

Let's first establish the problem as the following:

= 78.32 / 0.22

First, we will make the deniminator a whole number. In order to accomplish this, we will multiply both the numerator and denominator in the fraction by 100.

= ( 78.32 × 100 ) / ( 0.22 × 100 )

= 7832 / 22

Next we will divide both the numerator and denominator by the highest common factor ( HCF ) of the two numbers in order to simplify the fraction fully.

The highest common factor of 7832 and 22 is 22.

HCF = 22

This means that we will divide both the numerstor and denominator of the fraction by 22.

= ( 7832 ÷ 22 ) / ( 22 ÷ 22 )

= 356 / 1

= 356

FINAL ANSWER:

Therefore, the answer is: 356.

Hope this helps! :)
Have a lovely day! <3
7 0
4 years ago
Julia jogged along the perimeter of a park. the area of the park is 12 square miles, and the width of the park is 3 miles. how m
Georgia [21]
12 * 3 = 36 
Therefore your answer should be 36 miles.
4 0
4 years ago
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