Answer:
P=1/42.
Step-by-step explanation:
We know that the student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretary and Treasurer. We calculate the probability that the President is a Senior:
We calculate the number of possible combinations:

Number of favorable combinations is 5.
Threfore, the probability is
P=5/210
P=1/42.
The labeled point in which it will be rotated around
Answer:
y=x-4
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
m = (1--9)/(5--5)
m = (1+9)/(5+5)
= 10/10
= 1
The slope is 1
We have the slope and a point,so we can use point slope form
y-y1 = m(x-x1)
y-1 = 1(x-5)
y-1 = x-5
Add 1 to each side
y-1+1 = x-5+1
y=x-4
This is slope intercept form (y= mx+b)
Answer: Use a compass to measure the length of AB. Draw an arc from point B (or point A) with that distance. Extend line AB through that arc and label the intersection as point C. AC is twice the length of AB.
Answer:
-3
Step-by-step explanation:
Since x=1, we can simplify the equation to 9+7y=-12.
To find the value of 7y, we first have to find what is missing.
-12-9=-21, so 7y has to be equal to -21. -21/7 equals -3, so y=-3.