Answer:
A' (-2,3)
B' (-1,1)
C' (-4,0)
Step-by-step explanation:
Given coordinates:
A (3,0)
B (4,-2)
C (1,-3)
We want to find the location of the coordinates after a translation of <-5,3>
Explanation of translation
<-5,3>
Subtract 5 from the x value and add 3 to the y value
Applying translation
A (3,0) ---------> (3-5,0+3) ---------> (-2,3)
B (4,-2) ---------> (4-5,-2+3) ---------> (-1,1)
C (1,-3) ---------> (1-5,-3+3) ---------> (-4,0)
So the new coordinates would be
A' (-2,3)
B' (-1,1)
C' (-4,0)
Answer:: The family budget to make the one-way trip should be $70. Since, they need 20 gallons for driving out of state to her grandmother's house
Step-by-step explanation:
I think it’s m(x)=-(x+7)^4-10
<h2>Solving for the measurements of Complementary Angles</h2><h3>Answer:</h3>
and 
<h3>Step-by-step explanation:</h3>
Recall that Angles that are supplementary to each other add up to
.
Let
be the measure of the supplementary angle.
If an angle is
more than its supplementary angle, the measure of that angle is
. The sum of both angles are expressed
but since the have to add to
as they are supplementary,
.
Solving for
:

Since the other angle measures
, we can plug in the value of
to find the measure of the angle.
Evaluating
:

The measure of the angles are
and 