Answer:
D. x to the power of nine
Step-by-step explanation:
The applicable rule of exponents is ...
(x^a)^b = x^(ab)
You have a=3/2, b=6, so ab = 3/2·6 = 9.
(x^(3/2))^6 = x^(3/2·6) = x^9
Answer:
(2, 5)
Step-by-step explanation:
P = (2, -5)
Rotating the figure 180° clockwise about the origin means the x-coordinate of P will be negative and the y-coordinate of P will become positive as the figure is rotated from quadrant IV to quadrant II.
Therefore P' = (-2, 5)
Then if it is translated right 4 units, the x-coordinate of P' will be -2 + 4 = 2
So P'' = (2, 5)
<u>Attached diagram</u>
Black = original figure
Blue = rotated 180° clockwise about the origin
Red = translated right 4 units
Answer:
y = -2x - 3
Step-by-step explanation:
The altitude will be a line perpendicular the the opposite side DE.
The slope of DE = (3 - -1) / (3 - -5)
= 4/8 = 1/2
So the slope of the altitude = -1 / 1/2 = -2
Thus the equation of the altitude through F (1, -5) can be found using the point-slope form y - y1 = m(x - x1):-
y - -5 = -2(x - 1)
y + 5 = -2x + 2
y = -2x + 2 - 5
y = -2x - 3 (answer)
Step-by-step explanation:
Hypotenuse² = (Leg 1)² + (Leg 2)²
= (8)² + (15)² = 289
Hence the hypotenuse is 17cm.
Answer: cam did not use a zero place holder for the x^3 term
Step-by-step explanation: