Answer:
d=6.08
Step-by-step explanation:
The points given on the graph are (3,1) and (4,-5). Using this information, we can plug the points into the distance equation.
The first point =
The second point = 


Answer:
j=-37
Step-by-step explanation:
step 1
Find the slope of the given line
we have

Convert to slope intercept form
Isolate the variable y
subtract 2x both sides

divide by 3 both sides

The slope is

step 2
we have the points
(2,-9) and (j,17)
Find the slope
The formula to calculate the slope between two points is equal to
substitute
Remember that
If two lines are parallel then their slope are equal
therefore


Answer:
y=3x+13
Step-by-step explanation:
For this case we must find the sum of the given series. For this we must expand the series for each value of k.

Different signs are subtracted and the sign of the major is placed, while equal signs of sum and the same sign is placed.

The value of the series is -16
ANswer:
-16
Answer: 259/260 or 0.99615 (depending on which answer format your teacher wants)
There are 10 numbers in the set {0, 1, 2, ..., 9}. There are 26 letters in the set {A, B, C, ..., Z}. Multiply those values: 10*26 = 260. So there are 260 ways to pick a number followed by a letter. One example is 7P.
There is only one way Matthew can get the correct answer, and there are 260 - 1 = 259 ways to get the wrong answer. We divide 259 over 260 to get the probability of getting the incorrect answer, which is 259/260.
If you need this fraction in decimal form, then use a calculator to find that 259/260 = 0.99615 approximately