All categories

2 years ago

Find the coordinates of the midpoint (-3,13) (10,-4)

Mathematics

1 answer:

xenn [34]2 years ago

5 0

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3,13) and (10,-4)

The midpoint M is

We have the final answer as

Hope this helps you

You might be interested in

Some animals on farms eat hay to get energy. A cow can eat 24 pounds of hay each day. Write and evaluate an expression to find h

kumpel [21]

Answer:

<u>8064 pounds</u> of hay a group of 24 cows can eat in two weeks.

Step-by-step explanation:

Given:

Some animals on farms eat hay to get energy. A cow can eat 24 pounds of hay each day.

Now, to find how many pounds a group of 24 cows can eat in two weeks.

In 1 one day a cow can eat hay = 24 pounds.

Number of cows = 24.

Number of days in 2 weeks = 7 ×2 = 14.

Now, the expression of getting the pounds of hay a group of 24 cows can eat in two weeks is:

24 ( 24 × 14 ).

<u><em>So, to evaluate the expression:</em></u>

<u><em /></u> $24(24\times 14)$ <u><em /></u>

=<em> </em> $24\times 336$ <u><em /></u>

= $8064\ pounds.$

Therefore, 8064 pounds of hay a group of 24 cows can eat in two weeks.

3 0

2 years ago

1. A super-deadly strain of bacteria is causing the zombie population to double every two days. currently, there are 25 zombies.

Dvinal [7]

1. Is 124 days

2. ia 200,000,000

Ur welcome

4 0

2 years ago

Find the area of the kite with diagonals a= 12 and b=9

Gnoma [55]

maybe 108 is the answer.

4 0

2 years ago

Read 2 more answers

An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m

SVETLANKA909090 [29]

Answer:

a) $y=-6.254 x +75.064$

b) r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y) Interest Rate (X)

22 9.2

20 7.6

10 10.4

45 5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=278.65-\frac{32.5^2}{4}=14.5875$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225$

And the slope would be:

$m=\frac{-91.225}{14.5875}=-6.254$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125$

$\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25$

And we can find the intercept using this:

$b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064$

So the line would be given by:

$y=-6.254 x +75.064$

Part b

For this case we need to calculate the correlation coefficient given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

$r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937$

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

6 0

3 years ago

Buying one movie ticket online costs $16.50. Two tickets cost $30.50. Assuming that the relationship is linear, use the drop dow

HACTEHA [7]

Answer:

$C(n)=14n+2.50$