Answer:
The image will be congruent to ΔMNP.
Line EG will be perpendicular to the line segments connecting the corresponding vertices.
The line segments connecting corresponding vertices will all be parallel to each other.
Step-by-step explanation:
The reflected image will be the mirror image of ΔMNP, so it will be congruent. The lines connecting each vertex to the corresponding vertex will be parallel, and all three lines are perpendicular to EG.
Answer:
y = -2x - 5
Step-by-step explanation:
Let the equation if the line be y = mx + c
since the line is parallel to y = -2x - 8, their gradients/slope must be the same (aka m = -2)
sub (-4, 3):
3 = -2(-4) + c
c = -5
therefore, the equation of the line is y = -2x - 5
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Answer:
1. x = 7
2. x = -5
Step-by-step explanation:
1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 2*x+5*(6*x-9)-(179)=0
Pull out like factors 6x - 9 = 3 • (2x - 3)
(2x + 15 • (2x - 3)) - 179 = 0
Pull out like factors: 32x - 224 = 32 • (x - 7)
Solve: x-7 = 0
Add 7 to both sides of the equation = 7
2. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: -40-(6*x-5*(-4*x-18))=0
Pull out like factors: -4x - 18 = -2 • (2x + 9)
-40 - (6x - -10 • (2x + 9)) = 0
Pull out like factors: -26x - 130 = -26 • (x + 5)
-26 • (x + 5) = 0
Solve: x+5 = 0
Subtract 5 from both sides of the equation: x = -5
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Thanks!
<em>Hope it helps and is useful :)</em>
Answer:
Step-by-step explanation:
Given
Required
Determine the changes in the account
First, we need to determine the total amount spent;
<em>Hence, the changes in her account is a debit of $9 i.e. -$9</em>
