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OleMash [197]
3 years ago
15

The sum of two numbers is 25 and their differences is 7

Mathematics
1 answer:
Flauer [41]3 years ago
4 0

16 + 9 = 25  \\ 16 - 9 = 7

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How many solutions does the equation 2x-6=6+2x
Alex_Xolod [135]

Answer:

2 solutions

Step-by-step explanation:

Since the equations are not equal, they provide two solutions. Negative numbers provide no solutions. If they are equal to zero, they have one solution.


5 0
3 years ago
Read 2 more answers
Which best describes the graphs of the line that passes through (−12, 15) and (4, −5), and the line that passes through (−8, −9)
konstantin123 [22]

Answer:

C) They are perpendicular lines.

Step-by-step explanation:

We first need to find the slope of the graph of the lines passing through these points using:

m =  \frac{y_2-y_1}{x_2-x_1}

The slope of the line that passes through (−12, 15) and (4, −5) is

m_{1} =  \frac{ - 5 - 15}{4 -  - 12}

m_{1} =  \frac{ - 20}{16}  =  -  \frac{5}{4}

The slope of the line going through (−8, −9) and (16, 21) is

m_{2} =  \frac{21 -  - 9}{16 -  - 8}

m_{2} =  \frac{21  + 9}{16  + 8}

m_{2} =  \frac{30}{24}  =  \frac{5}{4}

The product of the two slopes is

m_{1} \times m_{2} =  -  \frac{4}{5}  \times  \frac{5}{4}  =  - 1

Since

m_{1} \times m_{2} =  - 1

the two lines are perpendicular.

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20-%2022x%20%20%2B%20121" id="TexFormula1" title=" {x}^{2} - 22x + 121"
eduard

Let's factor x^2−22x+121

The middle number is -22 and the last number is 121. Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks? We need two numbers that...

Add together to get -22

Multiply together to get 121

Can you think of the two numbers?

Try -11 and -11:

-11+-11 = -22

-11*-11 = 121

Fill in the blanks in

(x+_)(x+_)

with -11 and -11 to get...

(x-11)(x-11)


Answer: (x-11)(x-11)


Hope this helps!!!

3 0
3 years ago
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
Travka [436]
Suppose x books are produced by both methods.
Total cost for method 1 = 60346 + 10.5x
Total cost for method 2 = 18682 + 21x

Cost of method 1 = Cost of method 2
60346 + 10.5x = 18682 + 21x
60346 - 18682 = 21x - 10.5x
41664 = 10.5x
x = 41664/10.5
x = 3968

For 3968 books produced the cost by both methods will be the same.
5 0
3 years ago
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To the nearest centimeter, what is the area of the shaded sector in the circle shown below? A. 12 cm2 B. 151 cm2 C. 23 cm2 D. 13
vovikov84 [41]

Step-by-step explanation:

what are the sides given?

6 0
2 years ago
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