MATHEMATICS HIGH SCHOOL

M(5, 7) is the midpoint of RS. The coordinates of S are (6, 9). What are the coordinates of R?

Answers

Answer 1
Answer:

Answer:

The coordinates of R are(x_1,y_1)=(4,5)

Step-by-step explanation:

Given : M(5, 7) is the midpoint of RS. The coordinates of S are (6, 9).

To find : What are the coordinates of R?

Solution :

We have given,

A line RS which has a mid point M.

Let, the coordinates of R be (x_1,y_1)

The coordinates of S are (x_2,y_2)=(6, 9)

The coordinates of M are  (x_3,y_3)=(5,7)

Applying mid-point formula,

(x_3,y_3)=((x_1+x_2)/(2),(y_1+y_2)/(2))

(5,7)=((x_1+6)/(2),(y_1+9)/(2))

Solve separately,

x- coordinate is

(x_1+6)/(2)=5

x_1+6=10

x_1=4

y- coordinate is

(y_1+9)/(2)=7

y_1+9=14

y_1=5

So, The coordinates of R are(x_1,y_1)=(4,5)
Answer 2
Answer: Coordinate R is at (4,5)

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Multiply 6/5 x 25/24

Answers

Hi there! 6*25=150 and 5*24=120. Now, we have a fraction of 150/120. The GCF of 150 and 120 is 30 so we are going to divide 150/120 by 30. 150÷30=5 and 120÷30=4. So, we have a fraction of 5/4. 5/4 as a mixed number is 1 1/4. Therefore, the answer is 1 1/4.

In January 2012, the U.S. Population was about 313 million people. In January 2017, it was about 324 million. What was the average rate of population change per year?

Answers

The average rate of population change per year will be 2.2 million.

The difference in population will be:

= 324 million - 313 million.

= 11 million

The difference in years will be:

= 2017 - 2012

= 5 years.

The average rate of population change per year will be:

= 11 million / 5

= 2.2 million

Read related link on:

brainly.com/question/11616242

Answer: 2.2 million.

Step-by-step explanation:

To get the answer, you would need to make 324 million and 2017 a fraction(324 million as numerator (top), 2017 as denominator (bottom) and the same for 313 million and 2012) . From there, you subtract both fractions. You will get 11/5, which would equal 2 1/5. Multiply the 2 1/5 by 2 to get 2 20/100.

Deon has 4 yards of ribbon.  He needs 1/3 yard to make 1 bow.  How many bows can Deon make?

Answers

I think Deon can make 12 bows. 
He can make 12 bows made out of ribbon.
You do this by multiplying the dinominator with the yards of ribbon

1.15
a fraction that is equal to the decimal​

Answers

i believe it’s 23/20

Answer:

1.15=(23)/(20)

Step-by-step explanation:

1.15=(1.15)/(1)=(11.5)/(10)=(115)/(100)=((23)(5))/((2)(2)(5)(5))=(23)/((2)(2)(5))=(23)/(20)

Simple interest.

2700=2200(1+r)^5

Answers

solve your equation step-by-step.

2700=2200(1+r)^5

Flip the equation.

2200(r+1)^5 = 2700

Divide both sides by 2200.

2200(r+1)^5 / 2200 = 2700 / 2200

(r+1)^5=27/22

Solve Exponent.

(r+1)^5=27/22

((r+1)5) ^1/5 = (27/22)^1/5 (Raise both sides to power)

r+1=1.041809

r+1−1=1.041809−1(Subtract 1 from both sides)

r = 0.041809

Check answers. (Plug them in to make sure they work.)

r = 0.041809 (Works in original equation)
2700=2200(r+1)^5\n(27)/(22)=(r+1)^5\n\sqrt[5]{(27)/(22)}=\sqrt[5]{(r+1)^5}\n(27)/(22)^(1)/(5)=r+1\nr=(27)/(22)^(0.2)-1\nr=1.0418-1\nr=0.0418

r = 0.0418

4Of the choices below, what is the best
estimate of the length of a flute?
A 45 millimeters
B 45 centimeters
C 45 meters

Answers

Answer:

Step-by-step explanation:

45 meters is too long, 45 millimeters is too small. best choice would be 45 centimeters
I think the answer will be C 45 meters
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