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Yuliya22 [10]
2 years ago
13

The coordinates of midpoint M and endpoint Q of a segment are M(–7, 8) and Q(–19, 30). Find the coordinates of the other endpoin

t. (–31, 52) (–13, 19) (5, –14) (15, –4)
Mathematics
1 answer:
Margaret [11]2 years ago
4 0

Answer:

Step-by-step explanation:

Use the midpoint formula to solve:

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

We know the midpoint and one set of coordinates, so filling those in:

(-7,8)=(\frac{x+(-19)}{2},\frac{y+30}{2})

Since the -7 is the x coordinate of the midpoint, we set the x part of the equation equal to -7 and solve for x, and then do the same for y. The 2 equations are:

-7=\frac{x-19}{2}  and  8=\frac{y+30}{2}  We solve each one of these to get the x and y coordinates of the other endpoint. In both cases, multiply both sides of the equations by 2 and then solve by either adding or subtracting.

-14 = x - 19 so

5 = x

16 = y + 30 so

-14 = y

The coordinates of the other endpoint are (5, -14)

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This question is incomplete. There are options in the question (from reference) and no highlight in the red bolded text in the question.

What effect does decreasing the temperature of a room have on a lifespan of a battery?

Which variable is highlighted in red, bolded tex?  

a . Independent

b . Dependent

c . Control

d . None

But the answer to both the independent and dependent variables will be provided and explained in detail.

Answer:

Independent variable: decrease in temperature

Dependent variable: lifespan of battery

 Step-by-step explanation:

The independent variable in an experiment is defined as the variable that can be changed or manipulated in order to find an outcome while the dependent variable is defined as the variable that is influenced by the changes in the independent variable.

In the given example, a decrease in temperature  is the dependent variable as it is changing and the lifespan of battery  is the dependent variable as it is responding to the independent variable ?9decrease in temperature).

8 0
3 years ago
Hey, can I please get some help with this? It shouldn’t be too hard, thanks!
Fynjy0 [20]

Answer:

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Step-by-step explanation:

A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)

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B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)

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C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)

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In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).

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AveGali [126]

Answer:

There is sufficient evidence to support the claim that the standard deviation is less than 14.7.

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Now given from the question that this null hypothesis was rejected, it mean, in non technical term that there is sufficient evidence to support the claim that the standard deviation is less than 14.7.

3 0
3 years ago
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Answer:

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Step-by-step explanation:

Hi there!

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8 0
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