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3 years ago

14

The midpoint of RS has cordon ages (6,8). Points S has coordinates (6,7)...

1 answer:

postnew [5]3 years ago

3 0

The coordinates of R are (6,9)

Step-by-step explanation:

Given

S(6,7) = (x2,y2)

R = (x1,y1)

M = (6,8)

The formula for mid-point is:

$M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})$

Putting values

$(6,8) = (\frac{x_1+6}{2} , \frac{x_2+7}{2})$

Putting respective coordinates equal

$6 = \frac{x_1+6}{2}\\6*2 = x_1+6\\12 = x_1+6\\x_1 = 12-6\\x_1 =6\\AND\\8 = \frac{y_1+7}{2}\\8*2 = y_1+7\\16 = y_1+7\\16-7 = y_1\\y_1 = 9$

Hence,

The coordinates of R are (6,9)

Keywords: Coordinate geometry

Learn more about coordinate geometry at:

#LearnwithBrainly

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Yall know the rate of change?

ale4655 [162]

Answer:

M=-3

Step-by-step explanation:

Slope:

y2-y1/x2-x1

-3-3/1+1=6/-2=-3

4 0

3 years ago

Determine the measure of each angle using the picture below. Assume the two lines are parallel.

marta [7]

Answer:

Step-by-step explanation:

Angle 5 is opposite to 37 => It's equal to 37.
Angle 6 and 7 are supplementary to angle 5 => They are equal to 180 - 37 = 143 each.

Angle 4 is corresponding to Angle 7, and since the 2 lines are parallel, it's equal to 143.

Angle 1 and 3 is supplementary to Angle 4, so they are equal to 180-143 = 37 each

Angle 2 is opposite to Angle 4, so it's equal to 143.

Answer : Angle 1,3,5 = 37
Angle 2,4,6,7 = 143

8 0

3 years ago

PLEASE ANSWER THIS . Goran's company makes solid balls out of scrap metal for various industrial uses. For one project, he must

Ainat [17]

Cost of aluminum required to make a ball of radius 7.5 inches is $ 161.71

<h3><u>Solution:</u></h3>

Given that

Goran's company makes solid balls out of scrap metal for various industrial uses.

For one project, he must make aluminum balls that have a radius of 7.5 inches.

Cost of aluminum = $0.12 per cubic inches

Need to determine cost of aluminum to make one ball.

Lets first calculate the volume of one ball

As shape of the ball is sphere , we can use volume of sphere formula

$\text {Volume of ball }=\text { Volume of sphere }=\frac{4}{3} \pi r^{3}$

Where "r" is the raius of ball

Given that radius of required ball = 7.5 inches

$\text { So, volume of ball of radius } 7.5 \text { inches }=\frac{4}{3} \pi \times 7.5^{3}$

$=\frac{4}{3} \times 3.14 \times 321.875=1347.5833 \text { cubic inches }$

So quantity of aluminum required is same as volume of ball = 1347.5833 cubic inches

Cost of aluminum for 1 cubic inch = $0.12

<em><u>So cost of aluminum required to make a ball of aluminium of 1347.5833 cubic inches is given as:</u></em>

$=0.12 \times 1347.5833=\$ 161.71$

8 0

3 years ago

Seperate 90 into two parts so that one part is four times the other

aalyn [17]

Answer:

18 and 72

Step-by-step explanation:

the smaller part can be assigned as x while the larger will be 4x. Both numbers need to add up to 90, giving the equation: 4x+x = 90

Solve:

4x+x = 90

5x = 90

x = 18

4x = 72

5 0

2 years ago

A bookstore advertises 5 notebook for 7.50 at this rate how much would one notebook cost

katen-ka-za [31]

$1.5 is the answer i got by dividing 7.50 by 5.

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3 years ago

Read 2 more answers