Answer:
y = 16
Step-by-step explanation:
y = 11 - x
of x is -5, subtitute it into the equation
y = 11 - (-5)
y = 11 + 5
y = 16
Y-intercept (0, 1)
Equation of asymptote y=0
Equation of asymptote can also be called horizontal asymptote.
It means the place where the line almost meets but actually not touching the place. The line almost touches y=0 but it actually does not touch it.
She has 4 groups all together. 3 groups with ten rocks each and 1 group with 8 rocks(8/10).
Read the problem and answer choices. You want to get from ABCD to EFGH, so you need to figure out how to do that with reflection, translation, and dilation—in that order.
The reflection part is fairly easy. ABC is a bottom-to-top order, and EFG is a top-to-bottom order, so the reflection is one that changes top to bottom. It must be reflection across a horizontal line. The only horizontal line offered in the answer choices is the x-axis. Selection B is indicated right away.
The dimensions of EFGH are 3 times those of ABCD, so the dilation scale factor is 3. This means that prior to dilation, the point H (for example), now at (-12, -3) would have been at (-4, -1), a factor of 3 closer to the origin. H corresponds to D in the original figure, which would be located at (0, -2) after reflection across the x-axis.
So, the translation from (0, -2) to (-4, -1) is 4 units left (0 to -4) and 1 unit up (-2 to -1).
The appropriate choice and fill-in would be ...
... <em>B. Reflection across the x-axis, translation </em><em>4</em><em> units left and </em><em>1</em><em> unit up, dilation with center (0, 0) and scale factor </em><em>3</em><em>.</em>
_____
You can check to see that these transformations also map the other points appropriately. They do.
The equation for this statement:
2x – 14 = 6
=> 2x = 6 + 14
=> 2x = 20
=> x = 20/2
=> x = 10
