List them
2,8
4,16
or
8,2
16,4
pick one way or the other or both
the last 2 options fit
Answer:
h = + 6 ft
Step-by-step explanation:
Here we're dealing with a right triangle and may therefore apply the P, Pythagorean Theorem.
The hypotenuse is 10 ft and the horizontal leg is 8 ft. Thus, if h is the height of the highest point of the slide,
(8 ft)^2 + h^2 = (10 ft)^2, or
64 ft^2 + h^2 = 100 ft^2, leading to h^2 = 36 ft^2.
Then h = + 6 ft
Answer:
y = 8.9
Step-by-step explanation:
8^2 + y^2 = 12^2
64 + y^2 = 144
subtract 64 from both sides
y^2 = 80
square root both sides
y = square root 80
y = 8.9
The given angles mean that line QT divides angle PQS.
<em>The measure of </em>
<em> is </em>
<em />
Given that:
![\angle PQS = 3x + 13](https://tex.z-dn.net/?f=%5Cangle%20PQS%20%3D%203x%20%2B%2013)
![\angle SQT = 6x -2](https://tex.z-dn.net/?f=%5Cangle%20SQT%20%3D%206x%20-2)
Since QT divides
;
The equation to calculate
is:
![\angle PQT = \angle PQS - \angle SQT](https://tex.z-dn.net/?f=%5Cangle%20PQT%20%3D%20%5Cangle%20PQS%20-%20%5Cangle%20SQT)
This gives
![\angle PQT = 3x + 13- (6x -2)](https://tex.z-dn.net/?f=%5Cangle%20PQT%20%3D%203x%20%2B%2013-%20%286x%20-2%29)
Open bracket
![\angle PQT = 3x + 13- 6x +2](https://tex.z-dn.net/?f=%5Cangle%20PQT%20%3D%203x%20%2B%2013-%206x%20%2B2)
Collect like terms
![\angle PQT = 13+2- 6x + 3x](https://tex.z-dn.net/?f=%5Cangle%20PQT%20%3D%2013%2B2-%206x%20%2B%203x)
![\angle PQT = 15- 3x](https://tex.z-dn.net/?f=%5Cangle%20PQT%20%3D%2015-%20%203x)
Hence, the measure of
is ![15- 3x](https://tex.z-dn.net/?f=15-%20%203x)
Read more about angles at:
brainly.com/question/13954458
Answer:
(x+5)^2 = 1
Step-by-step explanation:
x^2+10x+24 = 0
Subtract 24 from each side
x^2+10x+24 -24 = 0-24
x^2+10x = -24
Take the coefficient of x
10
Divide by 2
10/2 =5
Square it
5^2 = 25
Add it to each side
x^2+10x+25 = -24+25
Take the coefficient divided by 2 inside the factor
(x+10/2) ^2 = -24+25
(x+5)^2 = 1