Answer: U' = (0, 1)
<u>Step-by-step explanation:</u>
U = (3, -5)
rotate 90° counterclockwise means (x, y) = (-y, x)
new U = (5, 3)
down 2 units means subtract 2 from the y-coordinate
newer U = (5, 1)
left 5 units means subtract 5 from the x-coordinate
U' = (0, 1)
Answer:
6(3) - 4 + (3)^2
Explanation:
We will do this on two steps:
1- get g(x)-f(x)
2- substitute with x = 3
Step 1:
f(x) = 4-x^2
g(x) 6x
g(x) - f(x) = 6x - (4 - x^2)
= 6x - 4 + x^2
Step 2:
Substitute with x = 3 as follows:
g(x) - f(x) at x = 3 is:
6(3) - 4 + (3)^2
Hope this helps :)
Answer:
75
Step-by-step explanation:
angle 2 and angle 6 are corresponding angles, because the lines are parallel and cut by a transversal, corresponding angles are congruent, thus if angle 2 is 75 degrees then angle 6 is 75 degrees
The ANGLE BISECTOR mentioned in the problem is simply just a line that separates an angle in half.
Meaning if it bisects ∠SUT which is 34. It just means that it divides the angle 34 into 2 equal parts.
Therefore ∠1 is just one-half of the ∠SUT.

Therefore the measurement of ∠1 is 17°.