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zavuch27 [327]
3 years ago
11

What is the midpoint of AB if A = (−2, 2) and B = (3, −1)?

Mathematics
1 answer:
Irina-Kira [14]3 years ago
6 0
Midpoint formula (x1 + x2) / 2, (y1 + y2)/2
(-2,2)...x1 = -2 and y1 = 2
(3,-1)...x2 = 3 and y2 = -1
now we sub
m = (-2 + 3) / 2 , (2 - 1) / 2
m = (1/2, 1/2) <===
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Answer choices:<br>A (3 , -4)<br>B (4 , -7/2)<br>C (-5 , 8)<br>D (5/2 , -17/4)​
zhuklara [117]

Answer: D (5/2, -17/4)

Step-by-step explanation:  Using elimination your goal is to get rid or 1 variable  so you can solve for the one that's left.  By adding the -2y and 2y you will get 0.  You will also add the 3x+x (4x) and -1+11 (10).  You have now gotten rid of the y and have 4x=10.  By dividing each side by 4 we now know x =2.5.  D is the only possible solution with x=2.5 (5/2) but to solve for y you plug 2.5 in to an equation as x so) x-2y=11

                                                                           2.5-2y=11

                                                                            -2y=8.5                                                                        Answer D (5/2,-17/4)                                      y=-17/4 (4.25)

4 0
2 years ago
The number of employees at a company is decreasing by 9.5% yearly. Currently there are 12,640 employees working at the company.
pychu [463]

Answer:

12546

Step-by-step explanation:

9.5% = 0.95 = 95

12,640 - 95 = 12546

5 0
3 years ago
8x+4(x-3)=4(6x+4)-4 please help
kvasek [131]

Answer:

x = -2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8x + 4(x - 3) = 4(6x + ) -4

8x +(4)(x) + (4)(-3) = (4)(6x) + (4)(4) + -4 (distribute)

8x + 4x + -12 = 24x + 16 + -4

(8x) + (4x) +(-12) = (24x) + (16 + -4) (combine like terms)

12x + -12 = 24x + 12

12x -12 = 24x + 12

Step 2: Subtract 24x from both sides.

12x -12 -24x = 24x + 12 -24x

-12x -12 = 12

Step 3: Add 12 to both sides.

-12x - 12 + 12 = 12 + 12

-12x = 24

Step 4: Divide both sides by -12.

-12x/-12 = 24/-12   <u>x = -2</u>  

HOPE THIS HELPED!!!

5 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Consider the graph of the function f(x)=I
Olin [163]

The matching of each transformed function is as follows;

g(x) = 2f(x) → y-intercept at (0,2)

h(x) = f(x) + 2 → asymptote of y=2

j(x) = f(x + 2) → y-intercept at (0,4)

m(x) = function decreases as x increases

<h3>How to match transformations?</h3>

A function is simply defined as a relationship between the inputs and the outputs. Now, we want to map each transformed function.

From the graph of this question as shown in the attached brainly link, the correct matching of each transformation of function f(x) = In x with a feature of the transformed function are as follows;

g(x) = 2f(x) → y-intercept at (0,2)

h(x) = f(x) + 2 → asymptote of y=2

j(x) = f(x + 2) → y-intercept at (0,4)

m(x) = function decreases as x increases

Read more about Transformations at; brainly.com/question/21515360

#SPJ1

5 0
1 year ago
Construct a 95% confidence interval for the population mean, µ. Assume the population has a normal distribution. A sample of 25
bixtya [17]

Answer:C. (77.29, 85.71)

Step-by-step explanation:

We want to determine a 95% confidence interval for the mean test score of randomly selected students.

Number of sample, n = 25

Mean, u = 81.5

Standard deviation, s = 10.2

For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean +/- z ×standard deviation/√n

It becomes

81.5 +/- 1.96 × 10.2/√25

= 81.5 +/- 1.96 × 2.04

= 81.5 +/- 3.9984

The lower end of the confidence interval is 81.5 - 3.9984 =77.5016

The upper end of the confidence interval is 81.5 + 3.9984 =85.4984

Therefore, the correct option is

C. (77.29, 85.71)

6 0
2 years ago
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