Here we want to find the equation of the line containing the median CP.
P, being the midpoint of AB can be found using the midpoint formula as:

.
The slope m of the line through CP can be found by the slope formula using points C(18, -8) and P(0, 1):

.
Now, we can write the equation of the line with slope -1/2, passing through
P(0, 1):

.
Answer:
Answer:
Karen is 71 years old
Step-by-step explanation:
Known
Karen=Jack +35
Frank=1/2 Jack
Jenifer=Frank+17
If Jenifer=35
35=Frank+17
18 = Frank
18=1/2 Jack
36= Jack
Karen= Jack+35=36+35=71
If a pencil factory makes 50 cases of pencils in 5 hours. Let's first find out how many cases are made per hour.
50 ÷ 5 = 10 cases per hour
Now you need to know how long it will take to make 55 cases. Since we already know that it takes 5 hours to make 50 cases. So you need to know how many cases for the extra 5 cases. If it takes 1 hour to make 10 cases, it would only take 1/2 hour to make 5 cases.
So it would take 5 1/2 hours to make 55 cases.
Hope this helps. :)
Answer:

Step-by-step explanation:
we are given a quadratic function

we want to figure out the minimum value of the function
to do so we need to figure out the minimum value of x in the case we can consider the following formula:

the given function is in the standard form i.e

so we acquire:
thus substitute:

simplify multiplication:

simply division:

plug in the value of minimum x to the given function:

simplify square:

simplify multiplication:

simplify:

hence,
the minimum value of the function is -155