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dem82 [27]
3 years ago
5

Find the distance between the points. Give an exact answer and an approximation to three decimal places.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0

Answer:

The distance between the points is d=2\sqrt{5}\ units   or d=4.472\ units  

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

(7,-3)\\(5,1)  

substitute the values

d=\sqrt{(1+3)^{2}+(5-7)^{2}}

d=\sqrt{(4)^{2}+(-2)^{2}}

d=\sqrt{20}\ units

d=2\sqrt{5}\ units  ----> exact answer

d=4.472\ units  -----> approximation to three decimal places

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The measure of one angle of an octagon is two times smaller that of the other seven angles. What is the measure of each angle?
Anestetic [448]

Answer:

7 of the angles measure 144 degrees each and one angle measures 72 degrees

Step-by-step explanation:

Let

x -----> represent the measures of the seven same-size angles,

x/2 ----> represent the measure of the one that is "two times smaller."

we know that

The sum of internal angles of a polygon can be calculated as:

S=180^o(n-2)

where

n is the number of sides of the polygon

In this case

n=8 (octagon)

substitute

S=180^o(8-2)=1,080^o

so

The linear equation that represent this problem is

\frac{x}{2}+7x=1,080

solve for x

\frac{15x}{2}=1,080\\\\15x=2,160\\\\x=144^o

so

\frac{x}{2}=72^o

therefore

7 of the angles measure 144 degrees each and one angle measures 72 degrees

7 0
2 years ago
F(x) = -4x2 + 5x<br> Find f (6)
mina [271]
You would plug in 6 where the x is so it would be -4 times 2 plus 5(6)
7 0
3 years ago
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solniwko [45]

Step-by-step explanation:

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3 years ago
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mr_godi [17]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Determine whether the given value is a solution of the equation. 36 = k 6 ; k = 6 6 a solution of 36 = k 6 .
Mila [183]

Answer:

Yes: the variable K would equal "6"

Step-by-step explanation:

After you set you equation up, you have to isolate the given variable. To do that you have to do the recipriocal (6k-multiplying) which would be division. You would divide k = 36 ÷ 6 . that isolates the variable ,which you would then solve. k = 6 .

4 0
3 years ago
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