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olga nikolaevna [1]
2 years ago
9

Samantha is 9 years younger than her brother Maurice. In 10

Mathematics
2 answers:
kozerog [31]2 years ago
7 0

Step-by-step explanation:

hope you can understand

Aleonysh [2.5K]2 years ago
4 0

Answer:

Samantha is 8 years and Maurice is 17 years

Step-by-step explanation:

First represent Samantha's brother's age with a variable, x.

Secondly, find Samantha's age. since shes 9 years younger, then it will be her brother's age which is x minus 9

Thirdly, in ten years, they will all age hence 10 will be added to all their ages.

Fourthly, once 10 has been added to their after 10 years, rhen we realise Maurice age will be 1.5 timess Samantha's age... Then you solve the resulting equation.

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Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P)
satela [25.4K]
The known endpoint is P = (-16,0)

Let Q = (x,y) be the other endpoint. It is unknown for now.

Looking at the x coordinates of P and Q, we see that they are -16 and x respectively. Adding these values up gives -16+x. Dividing that result by 2 gives (-16+x)/2. This result is exactly equal to the midpoint x coordinate, which is the x coordinate of M (0). 

So we have this equation (-16+x)/2 = 0. Let's solve for x

(-16+x)/2 = 0
2*(-16+x)/2 = 2*0
-16+x = 0
x-16 = 0
x-16+16 = 0+16
x = 16

Therefore the x coordinate of point Q is 16.

------------------------------------

Let's do something similar for the y coordinates.

The y coordinates of P and Q are 0 and y respectively. Add them up and divided by 2, then set the result equal to -16 (y coordinate of midpoint M) getting this equation (0+y)/2 = -16

Solve for y

(0+y)/2 = -16
y/2 = -16
2*y/2 = 2*(-16)
y = -32

The y coordinate of point Q is -32

------------------------------------

The point Q goes from (x,y) to (16, -32)

Final Answer: (16, -32)
3 0
3 years ago
I WILL GIVE YOU 20 POINTS AND THE BRAINLYEST
fiasKO [112]

Answer/Step-by-step explanation:

✍️Slope of the line using two points, (2, 2) and (6, 10),

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2

✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).

Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.

2 = (2)(2) + b

2 = 4 + b

2 - 4 = b

-2 = b

b = -2

Substitute m = 2 and b = -2 in y = mx + b.

✅The equation would be:

y = 2x + (-2)

y = 2x - 2

✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.

8 = 2(a) - 2

8 = 2a - 2

Add 2 to both sides

8 + 2 = 2a

10 = 2a

Divide both sides by 2

\frac{10}{2} = a

5 = a

a = 5

✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.

b = 2(4) - 2

b = 8 - 2

b = 6

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