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Rzqust [24]
3 years ago
14

Given the following points, write the equation of the line that goes through them. ( -12,56), (0,8), and (8,-24).

Mathematics
1 answer:
BaLLatris [955]3 years ago
8 0

Answer:

y=-4x+8

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

take two points from the data

(0,8), and (8,-24).

substitute

m=\frac{-24-8}{8-0}

m=\frac{-32}{8}

m=-4

step 2

Find the equation of he line in slope intercept form

y=mx+b

we have

m=-4

b=8 ----> the y-intercept is given

substitute

y=-4x+8

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The masses to the nearest kilogram of nine men were:
serious [3.7K]

Answer:

82 kg

Step-by-step explanation:

To find the mean of a set of values, we must add them up and divide by the number of values.

Step 1, adding the values:

75+68+78+82+85+90+88+92+76=\\734

Step 2, dividing by the # of terms:

There are 9 terms in total.

\frac{734}{9} =\\81.556

To the nearest kilogram, we can round 81.556 into 82.

The mean mass of the 9 men was \fbox{82} kg.

<em>I hope this helps! Let me know if you have any questions :)</em>

5 0
3 years ago
Read 2 more answers
Can someone help me please
Tasya [4]

Answer:

  Square

Step-by-step explanation:

The length of AB is (a+b)-a = b. The length of BC is b-0 = b. So, adjacent sides are the same length. AB has a constant y-value, so is horizontal. BC has a constant x-value, so is vertical.

A figure with horizontal and vertical sides of the same length is a square.

7 0
3 years ago
Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
puteri [66]

Answer:

a. 12 yd

Step-by-step explanation:

\sqrt{ {15}^{2} -  {9}^{2}  }  = 12

7 0
3 years ago
Mr Ethan divide the a land that measures 42m by 60m into equal what should be the size of largest square
Vikki [24]
The size of the largest square is 36m². To find for the measures of the squares, use the common factors of 42 and 60. Among the common factors, choose the greatest.
Find the factors of 42 using the listing method.
42 - 1, 2, 3, 6, 7, 14, 21, 42
Find the factors of 60 using the listing method also.
60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Identify the common factors of 42 and 60.
42 - 1, 2, 3, 6, 7, 14, 21, 42
60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Common Factors: 1, 2, 3, 6
Therefore, the size of the largest square is 36m² since 6m x 6m is equals to 36m².
3 0
3 years ago
In 2009, a town's population was about 9,000 residents. In 2014, the population was about 12,500 residents. Which linear model r
jek_recluse [69]

Answer:

The linear function that discribes the size of the population in function of the t in years is p = 700t - 1,397,300

Step-by-step explanation:

A linear function is defined by a line, so in order to determine the linear function we can use the two points that were given to us to create a line equation and use that as our linear function. The points given to us were (2009; 9000) and (2014; 12500), in this case the year is our value of "x" and the size of the population is our value of "y". The first step is to find the slope of the line which is given by:

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m = (12500 -9000)/(2014 - 2009) = 3500/5 = 700

Then we can use the slope and the first point to build the equation:

p - 9000 = 700*(t - 2009)

p = 700t - 1406300 + 9000

p = 700t - 1397300

5 0
3 years ago
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