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Dmitry_Shevchenko [17]
2 years ago
7

Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is –9

9.
Which equation can be used to find m, the midpoint of the two numbers?

(m – 5)(m + 5) = 99
(m – 10)(m + 10) = 99
m2 – 25 = –99
m2 – 100 = –99
Mathematics
1 answer:
Gnesinka [82]2 years ago
4 0

Answer:

m {}^{2} - 100 =  - 99

Step-by-step explanation:

Set up the binomial.

(m - 10)

(m + 10)

Multiply the binomial.

(m - 10)(m + 10) =  - 99

Apply difference of squares rule

(p + q)(p - q) = p {}^{2}  - q {}^{2}

m {}^{2}  - 100 =  - 99

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The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction
aniked [119]

Answer:

y2 = m(x2-x1)+y1

Step-by-step explanation:

Given the formula for finding the slope of a linear equation to be;

m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)

To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:

m = y2-y1/x2-x1

Cross multiplying

m(x2-x1) = y2-y1

mx2-mx1 = y2-y1

Adding y1 to both sides of the equation we have;

mx2-mx1 + y1= y2-y1+y1

y2 = mx2-mx1 + y1

y2 = m(x2-x1)+y1

This gives the resulting equation to solve for y2

6 0
2 years ago
Consider two unique parallel lines. what aspects of these two lines are the same? what aspects of these two lines would have to
kramer

If you have edunuity, the answer is... Two parallel lines will have the same slope. The slopes of parallel lines have to be equal. The y-intercepts of those two lines have to be different, otherwise they would be the same line. The x-intercepts of the parallel lines would also be different.

8 0
2 years ago
Read 2 more answers
HELP!
adelina 88 [10]

Answer:

A) 66 inches

B) 3.5 inches

C) 38 inches

D) 3 inches

Step-by-step explanation:

A)

If the height of the 36-month-old boy is 36 inches, we just need to use the value of x = 36 in the equation, and then find the value of y:

y = 3.5 * 36 - 60 = 66 inches

B)

As the slope of the equation is 3.5, an increase of 1 in the value of x causes a increase of 3.5 in the value of y, so the answer is 3.5 inches.

C)

We just need to use y = 73 and then find x:

73 = 3.5x - 60

3.5x = 133

x = 38 inches

D)

If the increase in y was 10.5, we just need to divide this value by the slope to find the increase in x:

dx = dy/3.5 = 10.5/3.5 = 3 inches

7 0
2 years ago
If the five digit number aa448 is divisible by 9, what digit does a represent?
kaheart [24]

Answer:

a represent 1

and number is 11448.

Step-by-step explanation:

We know that a number is divisible by 9 if the sum of its digit is divisible by 9.

Given number aa448

sum of 4+4+8 = 16

number divisible by 9, 18 , 27,36

as we see sum of 448 is 16 , hence sum of a+a+4+4+8 should be  number divisible by 9 and greater than 16 which is 18, 27,36

Let see of if sum of digits of aa448 is divisible by  18

a+a+4+4+8 = 18

2a + 16 = 18

2a = 18-16 = 2

a =2/2 = 1

Thus, number will be 11448

________________________________________

Let see of if sum of digits of aa448 is divisible by  27

a+a+4+4+8 = 27

2a  = 27 - 16

2a = 11 = 2

a =11/2 = 5.5

as digit cannot be fraction of decimal, it can take value from 1 to 9 hence

sum of digits of aa448 is not divisible by  27

______________________________________________

Let see of if sum of digits of aa448 is divisible by  36

a+a+4+4+8 = 36

2a + 16 = 36

2a = 36-16 = 20

a =20/2 = 10

as digit can take value from 1 to 9 hence sum of digits of aa448 cannot  be divisible by  36 or any higher number than 36 which is divisible by 9.

Thus , a represent 1

and number is 11448.

5 0
2 years ago
Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?
lara31 [8.8K]
Group first 2 and group last 2 and find factors and undistribute

(4x^3+x^2)+(-8x-2)
(x^2)(4x+1)+(-2)(4x+1)
x^2(4x+1)-2(4x+1)
answer is first one

6 0
2 years ago
Read 2 more answers
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