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3 years ago

What is the solution of the system of equations? y= -2x+8 y= x-4

Mathematics

2 answers:

Taya2010 [7]3 years ago

7 0

X=4, y=0 my answer is too short but I'm to lazy to type the whole pr0cess

Alinara [238K]3 years ago

4 0

We can solve by substituting x-4 for y in the first equation.
x-4 = -2x+8
3x = 12
x = 4

Then plug in 4 for x in one of the equations.
y = 4-4
y = 0
OR
y = -2(4)+8
y = -8+8
y = 0

So the solution is (4,0)

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The midpoint of line CD is M(-3,-7). If the coordinates of C are (-2, -10), what are the coordinates of D?

Lynna [10]

Answer:

D = (-4, -4)

Step-by-step explanation:

Given;

midpoint of line CD = M(-3, -7)

coordinate of C = (-2, -10)

The coordinate of D is calculated as follows;

C(-2, -10)---------------------M(-3, -7)--------------------D

$M = \frac{D_1 + C_1}{2} \ , \ \frac{D_2 + C_2}{2} \\\\(-3, \ -7) = \frac{D_1 + (-2)}{2} , \ \frac{D_2 + (-10)}{2} \\\\(-3, \ -7) = \frac{D_1 \ - \ 2}{2} , \ \frac{D_2 -10}{2} \\\\-3 = \frac{D_1 \ - \ 2}{2} \ \ ----(1)\\\\-7 = \frac{D_2 -10}{2} \ -----(2)\\\\From \ (1): 2(-3) = D_1\ - \ 2\\\\-6 = D_1 - 2\\\\-6 + 2 = D_1\\\\-4 = D_1\\\\From \ (2) : \ 2(-7) = D_2 - 10\\\\-14 = D_2 - 10\\\\ -14 + 10 = D_2\\\\-4 = D_2\\\\The \ coordinate \ of \ D = (D_1\ , \ D_2)\\\\D = (-4 \ , \ -4)$

Therefore, the coordinate of D = (-4, -4)

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3 years ago

Great Rapids White Water Rafting Company rents rafts for $125 per hour. Explain why the point (0,0) and (1,125) are on the graph

Gwar [14]

Answer:

$1500

6 hours

Step-by-step explanation:

There is no one off fee, therefore we got (0,0) a starting point.

(1,125) is representing the first hour of rent, so 1 hour rent costs $125.

There is a direct relationship between the time and rental fee.

As a function is will be:

f(x) = 125x, where f(x) is the total amount and x is the time in hours

For x= 12, we get:

f(12) = 125*12= $1500

So, if f(x) = 750, then:

750 = 125x
x= 750/125
x= 6 hours

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3 years ago