Answer:
The correct option is;
90 degrees counterclockwise rotation
Step-by-step explanation:
The coordinates of the preimage before rotation = K(17, -12)
The coordinate of the image of the preimage after rotation = K'(12, 17)
Therefore, the rotation transformation, transforms, the preimage (x, y) to the image (-y, x), which is equivalent to a rotation of 90 degrees counterclockwise
Answer:
D
Step-by-step explanation:
In this problem, we need to solve for the measurement of the width of the rectangular prism on which the formula is Volume = length * width * height. Ther are given values such as length = 3.2 inches, height = 9.6 inches and volume = 138.24 cubic inches. Solving for the width, we have shown it below:
Volume = length * width * height
138.24 = 3.2 * width * 9.6
138.24 / (3.2*9.6) = width
4.5 inches = width
The answer is 4.5 inches for the width of the rectangular prism.
Answer:
y = (-5/3)x - 4
Explanation:
The equation of a line with slope m that goes through the point (x1, y1) is:

Additionally, two lines are parallel if they have the same slope.
The slope of the line y = (-5/3)x - 2 is (-5/3) because it is the number beside x.
So, the slope of our line is also -5/3.
Therefore, replacing m by -5/3 and (x1, y1) by (-3, 1), we get that the equation of the line is:

Finally, solving for y, we get:

So, the answer is:
y = (-5/3)x - 4
Answer:
36.50
Step-by-step explanation:
just add them all up