Since the transformation occurring is rotation at 180
degrees about the origin, then the resulting image would be a reflection of the
original image. Additionally, since the rotation is 180 degrees, then there is
a movement of 2 quadrants for the corners A, B and C.
<span>Therefore this would also mean that if point A is in
coordinate (x, y) then point A’ would be in coordinate (-x, -y). Similar is
true with point B and point C and their corresponding reflection corners point
B’ and point C’. So for example if point A is located at (-5, 3) then point A’
must be at (5, -3).</span>
Final result :
9y - 17z - 2
Step by step solution :
Step 1 :
1
Simplify —
3
Equation at the end of step 1 :
1
— • (27y - 51z - 6)
3
Step 2 :
Pulling out like terms :
3.1 Pull out like factors :
27y - 51z - 6 = 3 • (9y - 17z - 2)
Final result :
9y - 17z - 2
If you are just simplifying it it would be 6x because it's 5x plus one more x but if you are trying to find x then I have no idea
Answer:
y = 3x + 2
y = 6x – 3
y = 2/3x + 6
y = –1/3x – 4
y = 2x + 1
Correct answer:
y = 3x + 2
Explanation:
Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2
So y = 3x + 2
Answer:
180 degrees per second.
Step-by-step explanation:
We have been given a graph that shows the distance covered by a tire or angular velocity of a tire with respect to the number of seconds (x).
Since we know that a tire is a circle and the measure of all the angles of a circle equals to 360 degrees.
We can see from our given graph that the tire completes one rotation in 2 seconds (2.5-0.5), so the distance covered by tire in two seconds will be 360 degrees. This means that the tire turns 360 degrees in each 2 seconds.
As we are asked to find the degree change by tire per second so we will find the unit rate such that we will have 1 in our denominator. By dividing our numerator and denominator by 2 we will get,
Therefore, the tire is turning 180 degrees per second.