Answer: (-6,-5)
Step-by-step explanation:
2x - 2y = -2 ............ equation 1
3x - y = -13 ................ equation 2
solving by substitution method
from equation 2 , make y the subject of the formula, we have
y = 3x + 13 .............. equation 3
substitute equation 3 into equation 1 , we have
2x - 2 (3x + 13 ) = -2
2x - 6x - 26 = -2
-4x - 26 = -2
-4x = -2 +26
-4x = 24
x = 24/-4
x = -6
substitute x = -6 into equation 3 to get the value of y , we have
y = 3(-6) + 13
y = -18 +13
y = -5
<u>Angie buys</u>
1 Software package + 3 months of game play.
Each software package costs = $20.
Let us assume cost of one month of game play = $x.
Therefore, total cost to Angie for 1 Software package + 3 months of game play = 20*1 + 3x = 20 +3x.
<u> Kenny buys </u>
1 software package + 2 months of game play.
Therefore, total cost to Kenny for 1 software package + 2 months of game play = 20*1 + 2*x = 20+2x.
Their total cost = $115.
Adding their costs and set it equal to 115, we get
<h3>20 +3x + 20+2x = 115.</h3>
Now, we need to solve it for x.
40 + 5x = 115.
5x = 115 - 40.
5x = 75.
Dividing both sides by 5, we get
x= 15.
<h3>Therefore, $15 is the total cost of one month of game play.</h3>
Answer:
Rectangle D is reflected over the x-axis and then translated 8 units right will result in rectangle E
Step-by-step explanation:
The coordinates of rectangle D are:
(-1, 1)
(-1, 4)
(-3, 1) and
(-3, 4)
The rule of reflection across x-axis is given by:
Next, translate this 8 unit right which is given by:
⇒(7, -1) , (5, -1) , (5, -4) and (7, -4) represents the coordinate of rectangle E.
Therefore, Rectangle D if reflected over the x-axis and then translated 8 units right will result in rectangle E
The Answer: D) 6
Hope this helps if need more pls text✌
