All categories

2 years ago

M is the midpoint of GR, G has coordinates ( -8,3) and M is at the origin. Find the coordinates of R

1 answer:

6 0

Since M is the midpoint and has the coordinate (0, 0), therefore the distance of G to M and R to M must be equal. This also means that point M is the average of the coordinates of G and R. Therefore:

(x + -8) / 2 = 0

x = 8

(y + 3) / 2 = 0

y = -3

<span>Therefore point R is located at (8, -3).</span>

You might be interested in

Solve the equation 6/5y-10=-4<br> X=

defon

6/5y-10=-4

move -10 to the other side

sign changes from -10 to 10

6/5y-10+10= -4+10

6/5y= 6

Mutiply by 5/6 for both sides

6/5(5/6)y=6(5/6)

Cross out 6/5 and 5/6 , divide by 5 and 6 then becomes y

Cross out 5 and 6 on the right side

x= 5

Answer : x= 5

3 0

3 years ago

Question

hichkok12 [17]

Answer:

Area: 201.06

Circumference:50.26

Step-by-step explanation:

Area of a circle: pi*r^2

8^2=8*8=64

64*pi=201.06193 Rounded to the neares hundredth=201.06

_________________________________________________

Circumference of a circle: 2pi * r

2*8=16

16*pi=50.2654825 Rounded to the nearest hundredth = 50.26

4 0

2 years ago

What is the solution set of {x|x<-3} intersection {x|x>5}?

ziro4ka [17]

There’s no solution because x is less than 3 there is no way is greater than 5.

Hope this helps!

8 0

2 years ago

Use long division to determine the quotient of the polynomials. (x3 – 7x – 6) ÷ (x – 4) Which of the following options best desc

Lelechka [254]

Answer:

The correct option is c.

Step-by-step explanation:

The quotient of the polynomials is

$\frac{(x^3-7x-6)}{x-4}$

We need to find the remainder by using long division method.

The dividend of the given expression is

$Dividend=x^3-7x-6$

$Divisor=x-4$

The long division method is shown below.

$\frac{(x^3-7x-6)}{x-4}=(x^2+4x+9)+\frac{30}{x-4}$

From the below attachment it is clear that the quotient has a remainder of 30. Therefore, the divisor is not factor of the dividend.

Therefore the correct option is c.

4 0

2 years ago

Y = -4/3x − 1<br> y = 1/3x + 4

Tom [10]

Answer:

x = -3, y =3

Step-by-step explanation:

y = -4/3x - 1

y = 1/3x + 4 -------> 4y = 4/3x + 16

Adding the first equation and the new second equation together:

5y = 15 ------> y = 3

Plug y = 3 into one of the original equations:

3 = 1/3x + 4

-1 = 1/3x

x = -3

7 0

2 years ago