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emmainna [20.7K]
3 years ago
7

Find the distance between points M(-7,5) and Z(2,-3)

Mathematics
1 answer:
julsineya [31]3 years ago
8 0

Hey there! I'm happy to help!

To find the distance between two points, you find the difference between the x values, square that, find the difference between the y values, square that, add the two numbers you got, and then find the square root.

We find the difference between the x values.

-7-2=-9

Square it.

-9²=81

We find the difference between the y-values.

5--3

5+3=8

We square it.

8²=64

We add the numbers we got.

81+64=145

We square root.

√145≈12.04

This formula comes from the Pythagorean Theorem! Now you can find the distance between any two points! Have a wonderful day! :D

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Https://www.calculatorsoup.com/calculators/geometry-solids/surfacearea.php
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4 0
2 years ago
Winston can drive a total of 248 miles on Monday. He drove 70 fewer miles in the morning that he did in the afternoon. How many
Nookie1986 [14]
To find the answer,we can set an equation:

Let the time he used to drive in the afternoon be y miles.

Time used in the afternoon = y
Time used in morning = y - 70
Total time used = 248

The value of y:

y + (y - 70) = 248
2y-70 = 248
2y = 248+70
2y = 318
y = 318/2
y = 159

Therefore, he droved 159 miles in the afternoon.

Hope it helps!
7 0
3 years ago
31. Each day, Talisa exercises by first
GaryK [48]

Answer:

Step-by-step explanation:

Given the following :

Laps - - - - - - - - 5 - - - 6 - - - 7 - - - 8 - - - 9

Total time - - - 25 - - 28 - - 29 - - 30 - - 32

Using online graphing tool:

The y - axis named dependent variable represents the total time taken.

The x-axis, represents the number of laps.

The equation of the trend line attached to the plot is in the form :

y = mx + c

y = 1.6x + 17.6

Where y = total time taken

x = number of laps

m = 1.6 = gradient of the line (change in y / change in x)

C = 17.6 = intercept (whee the trndline intersects the y-axis).

5 0
3 years ago
What is the fifth root of 16 times the fifth root of 8
Lena [83]

Answer:

2.63901582155

Step-by-step explanation:

4 0
3 years ago
SOLVING ABSOLUTE VALUE EQUATION
Ratling [72]

Answer:

1. x=27

2. x=11 or x=-7

3. x=4

4. x=1 or x=\frac{1}{3}

5. x=12

6. x=11 or x=-1

7. x=8

8. x=3 or x=1

9. x=\frac{13}{2} or x=-4

10.x=7 or x=1

Step-by-step explanation:

For the first 8, the absolute value portion is just substituted in for x, so we can skip some of the repeated work that would occur in these. For the absolute value problems, there are two solutions each. When you remove an absolute value, you have to add a plus or minus to each side and solve for each.

1. 5x+9=144\\5x=135\\x=27

2. |3x-6|=27\\3x-6=27\\3x=33\\x=11\\\\3x-6=-27\\3x=-27\\x= -7

3. \frac{x}{7-3} =1\\\frac{x}{4} =1\\x=4

4. |12x-8|=4\\12x-8=4\\12x=12\\x=1\\\\12x-8=-4\\12x=4\\x=\frac{4}{12} \\\\x=\frac{1}{3}

5. \frac{2}{3}x-11=-3\\\frac{2}{3}x=8\\x=\frac{24}{2}\\ x=12

6. |2x-10|=12\\2x-10=12\\2x=22\\x=11\\\\2x-10=-12\\2x=-2\\x=-1

7. \frac{4x-5}{3} =9\\4x-5=27\\4x=32\\x=8

8. |8x-16|=8\\8x-16=8\\8x=24\\x=3\\\\8x-16=-8\\8x=8\\x=1

9. |4x-5| +15=36\\|4x-5|=21\\4x-5=21\\4x=26\\x=\frac{26}{4} \\x=\frac{13}{2} \\\\4x-5=-21\\4x=-16\\x=-4

10. 6|3x-12|-5=49\\6|3x-12|=54\\|3x-12|=9\\3x-12=9\\3x=21\\x=7\\\\3x-12=-9\\3x=3\\x=1

7 0
3 years ago
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