See attachment for your Answer.
Answer:
"The question cannot be answered without knowing the scale factor."
Step-by-step explanation:
<u>The complete question:</u>
<em>A dilation centered at the origin is applied to the line y = 3x + 5. What is true about the image of the line?</em>
- <em>It is the same line.
</em>
- <em>
It is another line parallel to y = 3x + 5.
</em>
- <em>
The image is not a line.
</em>
- <em>
The question cannot be answered without knowing the scale factor.</em>
<em />
A dilation, center at origin, with a scale factor of "k", will have a rule:
(x,y) = (kx,ky)
This basically means that the image after dilation will have the points kx and ky respectively.
If k ≠ 1, this means the image is parallel to the line y = 3x + 5
If k = 1, this means the image is same, it coincides with the line y = 3x + 5
<u><em>Thus, the scale factor is really important and we can't say anything about this dilation since scale factor isn't known.</em></u>
<em />
<em />
Answer:
The x and y intercept are (20,0)
Step-by-step explanation:
2x-4y=40—eqn1
-x+2y=-20—eqn2
Make x the subject of eqn2
-x=-20-2y
x=20+2y
plug this into eqn 1
2(20+2y)+4y=40
40+4y+4y=40
8y=40-40
y=0
plug y=0 into eqn2
-x+2(0)=-20
-x=-20
x=20
We need the full picture, you cut off the bottom part which is the most important part..
Answer:
(2,2)
Step-by-step explanation:
Given equations
x-3y=-4-------------------------------(1)
y=-3x+8.------------------------------(2)
Substitute 2 in 1. This means use the value of y in equation 1, to replace y
x-3(-3x+8)=-4------------------open brackets
x+9x-24=-4---------------------collect like terms
10x=-4+24
10x=20---------------------------divide by 10 both sides to get value of x
10x/10=20/10=2
x=2------------------------------use value of x in equation (2) to get value of y
y=-3x+8
y=-3(2)+8
y=-6+8=2
solutions
x=2, y=2
