First, you should solve both equations for the same variable. Since the first one is already solved for y, solve the second equation for y as well.
6y = 2x + 6 Divide both sides by 6
y =
x + 1
You can see that both lines have a slope of
.
Lines that have the same slope are
parallel lines.
That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x²<span> + 10
</span> (4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
<span>
</span>0 = x2 – 9x + 20<span> (liked terms are grouped and simplified)
PROOF: </span> 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
Answer:
f(g(0) )= -1
Step-by-step explanation:
Find g(0) = -1
Then find f(-1) = 1
f(g(0) )= -1
Answer:
R'T = 28
Step-by-step explanation:
Dilation is one of the methods used in transformation. It is a process in which the size of a given object or shape is either increased or decreased by a scale factor.
In the given question, the length of RT was increased by the scale factor, so that;
R'T = RT x scale factor
= 8 x 3.5
= 28
R'T = 28
Therefore, the length of R'T is equal to 28.
