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Furkat [3]
4 years ago
14

The sum of two positive integers is 13 the difference between these numbers is 7 what is their product ? Explain :

Mathematics
2 answers:
olasank [31]4 years ago
5 0
A+b=13
a-b=7
add the two equations using system of equations
2a=20
a=10
10+b=13
b=3
DerKrebs [107]4 years ago
4 0

Answer:

Step-by-step explanation:

Let one number be x

Other number = 13 - x         {as sum of two numbers is 13}

x - [13 -x] = 7   { difference of two numbers is 7}

x - 13 +x =7

2x - 13 = 7

2x = 7 + 13

2x = 20

x = 20/2

x = 10

One number = 10

Other number = 13 - 10 = 3

Product = 10 * 3 = 30              

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What is the value of p if the line that passes through (2,-4) and (p,8) has a slope of 1/2? ​
Irina18 [472]

Answer:

Step-by-step explanation:

(2,-4)....x1= 2 and y1 = -4

(p,8).....x2 = p and y2 = 8

slope(m) = 1/2

now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know...

slope(m) = (y2 - y1) / (x2- x1)

1 / 2 = (8 - (-4) / (p - 2)

1 / 2 = (8 + 4) / (p - 2)

1/2 = 12 / (p - 2) .....now multiply both sides by (p - 2)

1/2(p - 2) = 12

1/2p - 1 = 12

1/2p = 12 + 1

1/2p = 13

p = 13 / (1/2)

p = 13 * 2/1

p = 26

so the value of p is 26

6 0
4 years ago
Rewrite the equation of each circle in Standard Form. Then graph.
chubhunter [2.5K]

Answer:

(x + 5) ^ 2 + (y-0) ^ 2 = 2 ^ 2

Step-by-step explanation:

The standard form for the equation of a circumference is:

(x-a) ^ 2 + (y-b) ^ 2 = r ^ 2

Where:

(a, b) is the center of the circumference

r is the radius

In this problem we have the equation of the following circumference, and we want to convert it to the standard form:

x ^ 2 + y ^ 2 + 10x +21 = 0

The first thing we must do to transform this equation into the standard form is to use the square completion technique.

The steps are shown below:

1. Group all the same variables:

y ^ 2 + (x ^ 2 + 10x) = -21

2. Take the coefficient that accompanies the variable x. In this case the coefficient is 10. Then, divide by 2 and the result elevate it to the square.

We have:

\frac{10}{2} = 5\\\\(\frac{10}{2}) ^ 2 = 25

3. Add on both sides of the equality the term obtained in the previous step:

y ^ 2 + (x ^ 2 + 10x +25) = -21 +25\\\\y ^ 2 + (x ^ 2 + 10x +25) = 4

4. Factor the resulting expression, and you will get:

(x + 5) ^ 2 + y ^ 2 = 4

Write the equation in the standard form:

(x + 5) ^ 2 + (y-0) ^ 2 = 2 ^ 2

Then, the center is the point (5, 0) and the radius is r = 2.

Observe the attached image

8 0
3 years ago
Read 2 more answers
what is the square root of 5 plus the square root of 2 times 4 times the square root of 5 plus the square root of 2
telo118 [61]
The answer is 16.29939
8 0
3 years ago
Mr. Champion invests 34,000 into a money-market fund that pays 4.8% simple interest. How long will it take for him to earn $8,16
Tanzania [10]

Answer:

5 years

Step-by-step explanation:

Step one:

Given Information

Principal= $34,000

rate = 4.8%

SImple interest = $8,160

Required

The time T of the investment

Step two:

the expression for simple interest is

SI= PRT/100

substitute

8160 = 34000*4.8*T/100

cross multiply we have

8160*100= 34000*4.8*T\\\\816000= 163200T\\\\

divide both sides by 163200

816000/163200= T\\\\T= 5 years

4 0
3 years ago
An expression is shown 2/3 divided by3/4
kiruha [24]

The quotient is 8/9.

8 0
4 years ago
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