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2 years ago

M(6, 7) is the midpoint of RS. The coordinates of 5 are (8,9). What are the coordinates of R?

Mathematics

1 answer:

Marta_Voda [28]2 years ago

3 0

Answer:

R=(4,5)

Step-by-step explanation:

M={x1+x2/2,y1+y2/2}

(6,7)={8+x2/2,9+y2/2}

Equating the x coordinates and y coordinates

6=8+x2/2

12=8+x2

x2=12-8=4

7=9+y2/2

14=9+y2

y2=14-9=5

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1.find the sum. (3^3+5x^2+3x-7)+(8x-6x^2+6) 2. Find the Difference: (8x-4x^2+3\)-(x^3+7x^2+3x-8)

vlada-n [284]

$(3^3+5x^2+3x-7)+(8x-6x^2+6)=\\\\=27\ \underline{+\,5x^2}\ \underline{ \underline{+\,3x}}-7\ \underline{\underline{\,+8x}}\ \underline{-\,6x^2}+6=\\\\=-x^2+11x+26$

or if you mean (3x^3+5x^2+3x-7)+(8x-6x^2+6):

$(3x^3+5x^2+3x-7)+(8x-6x^2+6)=\\\\=3x^3\ \underline{+\,5x^2}\ \underline{ \underline{+\,3x}}-7\ \underline{\underline{\,+8x}}\ \underline{-\,6x^2}+6=\\\\=3x^3-x^2+11x-1$

$(8x-4x^2+3)-(x^3+7x^2+3x-8)=\\\\=\underline{8x}\ \underline{\underline{-\ 4x^2}}+3-x^3\ \underline{\underline{-\,7x^2}}\ \underline{-\,3x}+8=\\\\=-x^3-11x^2+5x+10$

3 0

2 years ago

a ball is shot straight upward. with it's height, in feet, after t seconds given by the function f(t)=-16t^2+192t. Find the aver

jekas [21]

ANSWER

$80 {ms}^{ - 1}$

EXPLANATION

The average velocity of the ball is the rateof displacement over the total time.

The height of the ball, in feet, after t seconds is given by the function:

$f(t)=-16t^2+192t$

At time t=1, the height of the ball is

$f(1)=-16(1)^2+192(1)$

$f(1)=-16+192 = 176ft$

At time t=6, the height of the ball is

$f(6)=-16(6)^2+192(6)$

$f(6)=-16(36)+192(6)$

$f(6)=-576+1152 = 576$

The average velocity

$= \frac{f(6) - f(1)}{6 - 1}$

$= \frac{576- 176}{6 - 1}$

$= \frac{400}{5}$

$= 80 {ms}^{ - 1}$

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3 years ago

Combine like terms, 1)c+19-4 2)m+12-10

rewona [7]

1) Would be c+15 because you can combine 19-4

2) Would be m+2 because you can combine 12-10

8 0

3 years ago

Read 2 more answers

What is 0.4 as a simplified fraction

mestny [16]

Answer: 2/5

Step-by-step explanation: Using the place value chart, we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4/10.

Notice however that 4/10 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2.

So if we divide the numerator and the denominator by 2, we get the equivalent fraction 2/5.

Therefore, 0.4 can be written as the fraction 2/5 which is in lowest terms.

5 0

3 years ago

Write and solve an equation to answer the question. after earning interest, the balance of a checking account is $560. the new b

nikitadnepr [17]

2.33 is the aprox number we start off with. if we got to find the original, we divide 560 by (7/3).
after we estimate the divisior we get 240. 560 - 240 gives us 320.
the answer could be 320.

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3 years ago

M(6, 7) is the midpoint of RS. The coordinates of 5 are (8,9). What are the coordinates of R? ​

M(6, 7) is the midpoint of RS. The coordinates of 5 are (8,9). What are the coordinates of R?