The new points are:
P' (-3, 0)
F' (1, 2)
D' (0, -2.5)
The shape is being transformed with a dilation of a scale factor of 1/2. This means that we take the given points and multiply them by 1/2 to find the new points.
Look on the graph for the current points and multiply each one by 1/2. You will have the new points.
Answer:
30 inches
Step-by-step explanation:
Assuming the lengths are measured when B lies between A and C on a line, the segment addition theorem applies:
AC = AB +BC
42 = AB + 12 . . . . . fill in the given numbers
30 = AB . . . . . . . . . subtract 12
The length of AB is 30 inches.
Answer:
105,000 foot-pounds.
Step-by-step explanation:
Work done = 3500 * 30 foot pounds
The answer is D because if you add all the same terms you get the answer
Answer:
6 and 8
Step-by-step explanation:
Pythagorean theorem: a² + b² = c²
Given this,
(3x)² + (4x)² = 10²
9x² + 16x² = 100
25x² = 100
Divide both sides by 25
x² = 4
x = 2
Substitute this into 3x and 4x.
3x = 3 * 2 = 6
4x = 4 * 2 = 8
Thus, the answer is 6 and 8
