To determine the answer it would be helpful if we write this equation into the slope intercept form which is expressed as:
y = mx+b
<span> y−2x=816
y = 2x + 816
4x=2y
y = 2x
We can see that the slope of the two equations are the same. Therefore, they are parallel which means they do not intersect. The correct answer is the third option, there is no solution.</span>
Answer:
a. −1973700x
b. 0.12
c. 1344
d. −
36.2
Step-by-step explanation:
Answer:
- <u><em>A dilation by a scale factor of 4 and then a reflection across the x-axis </em></u>
Explanation:
<u>1. Vertices of triangle FGH:</u>
- F: (-2,1)
- G: (-3,3)
- H: (0,1)
<u>2. Vertices of triangle F'G'H':</u>
- F': (-8,-4)
- G': (-12,-12)
- H': (0, -4)
<u>3. Solution:</u>
Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is<em> a dilation by a scale factor of 4 and a reflection across the x-axis.</em> This is the proof:
- Rule for a dilation by a scale factor of 4: (x,y) → 4(x,y)
(0,1) → 4(0,1) = (0,4)
- Rule for a reflection across the x-axis:{ (x,y) → (x, -y)
(0,4) → (0,-4)
Verfiy the transformations of the other vertices with the same rule:
- Dilation by a scale factor of 4: multiply each coordinate by 4
4(-2,1) → (-8,4)
4(-3,3) → (-12,12)
- Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate
(-8,4) → (-8,-4) ⇒ F'
(-12,12) → (-12,-12) ⇒ G'
Therefore, the three points follow the rules for <em>a dilation by a scale factor of 4 and then a reflection across the x-axis.</em>
Answer:
-12
Step-by-step explanation:
2(6a-2b)-8(-2)
=2[6(-1)-2(4)]+16
=2[-6-8]+16
=2[-14]+16
=-28+16
=-12
