Answer:
The transformation of
to
consists in a vertical translation. The new equation is
.
Step-by-step explanation:
Let
. We proceed to make the required transformations on
, which consists in one vertical translation, 3 units in the -y direction. That is to say:
(1)


Then, the transformation of
to
consists in a vertical translation. The new equation is
.
Answer:
x = 4.6439
Step-by-step explanation:
2^x =25
Take the log of each side
log 2^x = log 25
We know that log a^b = b log a
x log 2 = log 25
Divide each side by log 2
x = log 25 / log 2
x =4.643856
Rounding to 4 decimal places
x = 4.6439
The new reflected point across the x-axis of(-3,-3) will become (-3,3)
And the new reflected point across the y-axis of (-4,-4) will become (4,-4)
<u><em>Answer:</em></u>
x = 3
<u><em>Explanation:</em></u>
The complete question is shown in the attached diagram
<u>Collinear points</u> are defined as points that lie on the same straight line
Since points U, T and V are given to be collinear, this means that these three points lie on the same straight line
Now, we are given that point U is between points T and V
This would mean that the length of segment TV can be written as the sum of the segments TU and UV
<u>Therefore:</u>
TV = TU + UV
<u>We are given that:</u>
TV = 14x - 8
TU = 9x + 2
UV = 5
<u>Substitute with the givens in the above mentioned equation and solve for x as follows:</u>
TV = TU + UV
14x - 8 = 9x + 2 + 5
14x - 8 = 9x + 7
14x - 9x = 7 + 8
5x = 15
x = 3
Hope this helps :)