Step-by-step explanation:
Point A = (-1, -3).
Midway of AB = (-3, 2).
Let Point B = (x, y).
Then (-1, -3) - (-3, 2) = (-3, 2) - (x, y).
=> (2, -5) = (-3-x, 2-y).
We have -3 - x = 2 and 2 - y = -5.
So x = -5 and y = 7.
Hence, point B = (-5, 7).
4x - 2x = - 3 - 5
2x = - 8
x = - 4
15/2 = 7.5 Im sorry don't know about the integer form
Answer:
Step-by-step explanation:
1) <u>B(1, 5)</u>
<u />
<u>Dilation</u>
(1,5) => (2x, 2y)
=> (1 x 2, 5 x 2)
=> (2, 10)
<u>Translation</u>
<u>(</u>2,10) => (x + 5, y - 3)
=> (2 + 5, 10 - 3)
=> (7, 7)
<u><em>B' = (7,7)</em></u>
2) <u>Translation</u>
(1,5) => (x + 5, y - 3)
=> (1 + 5, 5 - 3)
=> (6, 2)
<u>Dilation</u>
(6, 2) => (2x, 2y)
=> (6 x 2, 2 x 2)
=> (12, 4)
<u><em>B' = (12,4)</em></u>
2x - y = -24
x + 7y = 3
Solve one equation for a variable and plug the resulting value into the second equation.
x + 7y = 3 Subtract 7y from both sides
x = -7y + 3
Now, plug that x-value into the x of the first equation.
2x - y = -24 Plug in the x-value
2(-7y + 3) - y = 24 Use the Distributive Property
-14y + 6 - y = -24 Combine like terms (-14y and -y)
-15y + 6 = -24 Subtract 6 from both sides
-15y = -30 Divide both sides by 15
y = 2
Next, plug the y-value back into the second equation.
x + 7y = 3 Plug in the y-value
x + 7(2) = 3 Multiply
x + 14 = 3 Subtract 14 from both sides
x = -11
y = 2 and x = -11
