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Finger [1]
1 year ago
7

What is the midpoint of the segment shown below?

Mathematics
1 answer:
kolbaska11 [484]1 year ago
8 0

The midpoint of the segment is (-15/2, -15/2)

<h3>How to determine the midpoint?</h3>

The complete question is in the attached image

The points are given as:

(-8, -7) and (-7, -8)

The midpoint is calculated as:

(x,y) = 1/2 * (x1 + x2, y1 + y2)

So, we have:

(x,y) = 1/2 * (-8 - 7, -7 - 8)

Evaluate the difference

(x,y) = 1/2 * (-15, -15)

Evaluate the product

(x,y) = (-15/2, -15/2)

Hence, the midpoint of the segment is (-15/2, -15/2)

Read more about midpoints at:

brainly.com/question/4747771

#SPJ1

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Solve the system of equations.<br> - 3x + 2y = 56<br> - 5 - 2y = 24
Oduvanchick [21]

Awnser

y=13

Step-by-step explanation:

-3x+2y=56

-5x-2y=24

so first we want to get rid of one variable, in this example we dont need to multiply because the y's cancel out

so we have

-8x=80

x=-10

now plug in x into an original equation

-3(-10)+2y=56

2y=26

y=13

hope that helps

4 0
3 years ago
Read 2 more answers
A T-shirt department store cost 7.50.the total cost in dollar of a T-shirt is givien by the function C(a)=7.5a
tigry1 [53]

Given cost function C(a) = 7.5a, where a is the number of T-shirts.

Let us complete table.

We need to plug a=1,2,3,4 in above function to get the costs to complete the table.

For a =1

C(1)= 7.5(1) = 7.50

For a =2

C(2)= 7.5(2) = 15.00

For a =3

C(3)= 7.5(3) = 22.50

For a = 4

C(4)= 7.5(1) = 30.00

In order to find the common difference we need to find the diffrences of costs 15-7.50 = 7.50

22.50-15.00=7.50.

<h3>Therefore, common difference is 7.5.</h3>

a represents the number of T-shirts.

Domain of a is the numbers we can take for a.

So, we can take value for a as 0 or greater value.

Therefore, domain for a would be a is gerater than or equal to 0.

<h3>Domain : a≥0</h3>

6 0
3 years ago
Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x + 1| + 1?
Marta_Voda [28]
You would shift one unit left and one unit up using the formula y=mx+b the b is the y coordinate and the number added or subtracted from the x is the coordinate
5 0
3 years ago
Read 2 more answers
When fritz drives to work his trip takes 40 ​minutes, but when he takes the train it takes 30 minutes. find the distance fritz t
sweet-ann [11.9K]
Distance = rate*time

convert minutes to hour first because the question talking about 15 mile per hour
40 mins = 40/60 2/3 hrs
30 mins = 30/60 = 1/2hrs

Assume that s be the speed when Fritz driving, so
s + 15 will be the speed of the train.

We know the time we know the speed, Next
distance that Fritz drive = \frac{2}{3}s
distance the train travel = \frac{1}{2}(s+15)

The question: Assume that the train travels the same distance as the car
==> \frac{2}{3}s = \frac{1}{2}(s+15)
==> \frac{2}{3}s = \frac{1}{2}s + \frac{15}{2}
==> \frac{2}{3}s - \frac{1}{2}s = \frac{15}{2}
==> \frac{1}{6}s = \frac{15}{2}
==> \frac{6}{1} * \frac{1}{6}s = \frac{15}{2} * \frac{6}{1}
==> s = 45 
Now we know that Fritz drive at 45 mph, 
distance = \frac{2}{3} * 45 = 30 miles
3 0
3 years ago
Jess gave her nail technician a ​$4.90 tip. The tip was 14% of the cost of the manicure. Write an equation to find​ b, the cost
jonny [76]

Answer:

$35

Step-by-step explanation:

equation to represent the situation:

4.90 = 0.14 * b

so,

4.90 / 0.14 = b

b = 35

The cost of the manicure was $35.

8 0
3 years ago
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