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4 years ago

Find the midpoint of the line segment with the endpoints (−6,−2) and (−4,−10).

Mathematics

2 answers:

noname [10]4 years ago

8 0

Answer:

The midpoint is (-5,-6)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates together and divide by 2

( -6+-4)/2 =-10/2 = -5

To find the y coordinate of the midpoint, add the y coordinates together and divide by 2

( -2+-10)/2 =-12/2 = -6

The midpoint is (-5,-6)

jok3333 [9.3K]4 years ago

6 0

Answer:

(-5, -6).

Step-by-step explanation:

The midpoint of the line joining (x1, y1) and (x2, y2) is

(x1 + x2) / 2 , (y1 + y2)/2.

So here the midpoint is (-6 - 4)/2, ( -2, -10)/2

= (-5, -6).

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The floor of a NYC subway car measures approximately 12 feet. How many cubic feet of space are there in a subway car?

fiasKO [112]

The cubic feet of space that is in the subway car is the volume of the subway car which is 5,502.

<h3>How many cubic feet of space are there in a subway car?</h3>

The shape of a subway car is in the form of a rectangular prism. In order to determine the cubic feet of space, the volume of the car has to be determined. The formula for the volume of a rectangular prism would be used.

Volume = width x height x length

12 x 51 x 8.5 = 5205

Here is the complete question:

The floor of an NYC subway car measures approximately 51 feet by 8.5 feet. The height of the NYC subway car measures approximately 12 feet. How many cubic feet of space are there in a subway car?

To learn more about the volume of a cuboid, please check: brainly.com/question/26406747

5 0

3 years ago

In a poll, 1,004 adults in a certain country were asked whether they favor or oppose the use of "federal tax dollars to fund m

WARRIOR [948]

Answer:

The range of values likely to contain the true value of the population parameter is between 44% and 52%.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

These bounds are dependent of the sample mean and of the margin of error.

The lower bound is the sample mean subtracted by the margin of error, while the upper bound is the margin of error added to the sample mean.

The confidence interval is likely to contain the true value of the population parameter.

In this question:

Sample mean: 48%

Margin of error: 4%

48 - 4 = 44%

48 + 4 = 52%

The range of values likely to contain the true value of the population parameter is between 44% and 52%.

7 0

3 years ago

A recipe calls for 6 ounces of water. If there are 16 tablespoons in one cup. and two tablespoons in once ounce. how many cups o

Gnom [1K]

Answer:

3/4 cup

Step-by-step explanation:

8 0

3 years ago

The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 4 cm/s. When the length is

Setler [38]

Answer:

The area of the rectangle is increasing at a rate of 168 square centimeters per second.

Step-by-step explanation:

Geometrically speaking, the area of a rectangle ( $A$ ), in square centimeters, is described by following expression:

$A = w\cdot l$ (1)

Where:

$w$ - Width, in centimeters.

$h$ - Height, in centimeters.

By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ( $\dot A$ ), in square centimeters per second:

$\dot A = \dot w\cdot l + w\cdot \dot l$ (2)

Where:

$\dot w$ - Rate of change of the width of the rectangle, in centimeters per second.

$\dot l$ - Rate of change of the length of the rectangle, in centimeters per second.

If we know that $w = 12\,cm$ , $l = 15\,cm$ , $\dot w = 4\,\frac{cm}{s}$ and $\dot l = 9\,\frac{cm}{s}$ , then the rate of change of the area of the rectangle is:

$\dot A = \dot w\cdot l + w\cdot \dot l$

$\dot A = 168\,\frac{cm^{2}}{s}$

The area of the rectangle is increasing at a rate of 168 square centimeters per second.

6 0

3 years ago

Simplify exponential form

wolverine [178]

Answer:

$( \frac{5}{4})^{6}$

Step-by-step explanation:

$\frac{4}{5} \div \bigg[ {\bigg( \frac{4}{5} \bigg)}^{7} .{\bigg( \frac{4}{5} \bigg)}^{0}\bigg] \\ \\ = \frac{4}{5} \div \bigg[ {\bigg( \frac{4}{5} \bigg)}^{7} .1\bigg] \\ \\ = \frac{4}{5} \div {\bigg( \frac{4}{5} \bigg)}^{7}\\ \\ = \frac{4}{5} \times {\bigg( \frac{5}{4}\bigg)}^{7} \\ \\ = {\bigg( \frac{5}{4}\bigg)}^{6}$

5 0

3 years ago