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3 years ago

What is the midpoint of a segment whose endpoints are (-12, -7) and (8, -11)

Mathematics

1 answer:

TEA [102]3 years ago

7 0

The midpoint is (-2, -9).

Using the midpoint formula:

(x1+x2/2, y1+y2/2)
(-12+8/2, -7+(-11)/2)
(-4/2, -18/2)
(-2, -9)

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Ms. Zab gave a group of 5 students a total of 18.75 liters of water for a science experiment. If each student in the group used

wlad13 [49]

Answer: The quantity of the water received by each student = 3.75 liters.

Step-by-step explanation:

Given: Total water = 18.75 liters

Total students =5

If each student in the group used the same amount of water for their experiment, then the quantity of the water received by each student = $\dfrac{\text{Total quantity}}{\text{Total students}}$

$=\dfrac{18.75}{5}\\\\=3.75\ liters$

The quantity of the water received by each student = 3.75 liters.

4 0

3 years ago

The circle below has center C, and its radius is 4 feet. Find the area of the sector with central angle DCE given

garik1379 [7]

Answer:

$area = \frac{8}{3}pie ft^2$

Step-by-step explanation:

Area of sector is given as θ/360*πr²

Where,

θ = central angel of sector, m < DCE = 60°

r = radius = 4 feet

Area of sector = $\frac{60}{360}*pie*4^2$

$area = \frac{1}{6}*pie*16$

$area = \frac{1*16}{6}*pie$

$area = \frac{16}{6}*pie$

$area = \frac{8}{3}pie ft^2$

Area of the sector = 8/3π ft²

5 0

3 years ago

The function f(x) = x2 is transformed to f(x) = −1.4x2. Which statement describes the effect(s) of the transformation on the gra

Romashka-Z-Leto [24]

Answer:

C) The parabola is narrower and reflected across the x-axis.

Step-by-step explanation:

The original parabola has equation:

$f(x) = {x}^{2}$

The transformed parabola has equation

$f(x) = - 1.4 {x}^{2}$

How wide the graph is can be determined by the absolute value of the coefficient.

The smaller the absolute value of the coefficient, the wider the graph.

Since

$|1| \: < \: | - 1.4|$

The original graph is wider than the transformed graph.

Also the negative factor tells us there is a reflection in the x-axis.

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%285y%20%2B%209%29%286y%20-%201%29" id="TexFormula1" title="(5y + 9)(6y - 1)" alt="(5y + 9)(6y

mestny [16]

Hey there :)

( 5y + 9 )( 6y - 1 )

We need to use FOIL to expand, that is
First Terms
Outer Terms
Inner Terms
Last Terms

First Outer Inner Last
( 5y )( 6y ) + ( 5y )( - 1 ) + 9 ( 6y ) + 9 ( - 1 )
30y² - 5y + 54y - 9

Combine, if any, the like-terms
30y² + 49y - 9

7 0

3 years ago

Read 2 more answers

Nit Test

bazaltina [42]

Answer:

The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.

Step-by-step explanation:

The difference between continuous and discrete graphs and functions is that a discrete function allows the variables to be only certain points in the interval, usually only integers; meanwhile, a continuous function allows the variables to be any points in the interval. Here, both variables are discrete, that is, the number of people is {0, 1, 2, 3, ...}, and days are {Monday, Tuesday, Wednesday, ...}

3 0

3 years ago