Answer:

Step-by-step explanation:
Given


Midpoint, T
Required
Determine PT
First, the value of x has to be calculated;
Since T is the midpoint, then:

This implies

Solve for x




Length PQ can then be calculated using:


Collect Like Terms


Substitute 6 for x



When it is perpendicular, the slope is the negative reciprocal so it would equal -3/2x. Plug in the points to the equation so you can find the intercept. -8=-3/2(4)+b
Combine: -8=-6+b
Add 6: -2=b
The equation would be f(x)=-3/2x-2
Hope this helped and sorry if I am wrong!
Answer:
$50
Step-by-step explanation:
If the original price was $10 more than the sale price, so we know that in this case, 20% = $10. Because 20% is equivlalent to
, multiply $10 by 5 to get the answer of $50.
To determine the probability that one or the other circumstances will occur, you will count the number of possible outcomes and divide it by all the possible outcomes.
#of female teaching assistants + # of male teaching assistants + # of female professors
6 + 16 + 11 = 33
Total = 41
33/41 = 80
There is a approximate 80% probability that one or the other will occur.
Answer:
the answer is 6x3 which is 18
Step-by-step explanation:multiply to find out the answer