There are 1010 possibilities for the 1010 sided die and 66 possibilities for the 66 sided die. Please mark Brainliest!!!
Given:
Three numbers in an AP, all positive.
Sum is 21.
Sum of squares is 155.
Common difference is positive.
We do not know what x and y stand for. Will just solve for the three numbers in the AP.
Let m=middle number, then since sum=21, m=21/3=7
Let d=common difference.
Sum of squares
(7-d)^2+7^2+(7+d)^2=155
Expand left-hand side
3*7^2-2d^2=155
d^2=(155-147)/2=4
d=+2 or -2
=+2 (common difference is positive)
Therefore the three numbers of the AP are
{7-2,7,7+2}, or
{5,7,9}
Sam painted 3
ellie painted 2x3, so she painted 6
6+3=9
together they painted 9 pictures
Answer:

Step-by-step explanation:
<u>Theorem 1:</u> The height of right triangle drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of these two segments. Hence,

<u>Theorem 2:</u> In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.
Thus,

Answer:

Step-by-step explanation:
The formula of a midpoint between two points A(x₁, y₁) and B(x₂, y₂):

We have the points (3, 17) and (-14, -8).
Substitute:
