First find the new coordinates for P and Q after the translations:
P'(2 + 3, 4 - 4) = P'(5, 0)
Q'(-3 + 3, 2 - 4) = Q'(0, -2)
Now, find the slope from this:
(0 - (-2))/(5 - 0) = 2/5
The slope has remained the same. It is important to note that after any translation, the slope will always remain the same. However, this is not always so for rotations and reflections.
Answer:
Yes, you can use this inequality to find the numbers of cars required.
Step-by-step explanation:
12 + 3n > 28 where n = the number of cars required
3n > 28 -12
3n > 16
n > 5 1/3
Greater than 5 1/3 gives 6 cars.
Answer:
(i) She gives each student a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a posttest. The teacher wants to see if the difference in scores will show an improvement.
Step-by- Step
The situation is a case of matched or paired samples since the samples are dependent. The two measurements are drawn from the same pair of individuals The parameter that is tested using matched pairs is the population mean and this is what teacher intends to use a hypothesis test for.
Answer:
A. (2x + 5)(2x - 5)
Step-by-step explanation:
Factor out the polynomial given.
(4x² - 25) = (2x - 5)(2x + 5)
Check: Use the FOIL method.
(2x)(2x) = 4x²
(2x)(5) = 10x
(2x)(-5) = -10x
(-5)(5) = -25
Simplify. Combine like terms: 4x² + 10x - 10x - 25 = 4x² - 25
A. (2x + 5)(2x - 5) is your answer
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Answer:
See explanation
Step-by-step explanation:
cos62˚ ≈ 0.469
0.469 x 12 = 5.628
