Answer:
Step-by-step explanation:
We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.
This can be represented as a triangle, where x is the unknown side.
|\
| \
x | \ 9
| \
| \
|_____\
4.5
We can use The Pythagorean Theorem to find the value of x. The theorem states that 
, where a and b are the lengths of the legs and c is the length of the hypotenuse.
However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.
Hope this helped!
Answer:
62.22%
Step-by-step explanation:
First, find how many total marbles there are:
12 + 11 + 17 + 5
= 45
Then, find how many marbles that are not blue:
12 + 11 + 5
= 28
Then, divide 28 by 45, and multiply by 100
(28/45) x 100
= 62.22% is the probability of not choosing a blue marble
Answer:
23
Step-by-step explanation:
Basically I did it backwards & opposites:
-28 divided by -7 = 4
4 + 19 = 23
I checked btw and it worked.
y = ax^2
If the absolute value of a is <1 the graph is wider than when a = 1
If the absolute value of a is >1 the graph is narrow than when a = 1
The only function that fits that description is
y = 2x^2
Answer:
8, 10, 3
Step-by-step explanation:
For finding real solutions to cubic equations and those of higher degree, I find a graphing calculator to be useful. The problem can be cast in the form ...
f(x) = 0
where f(x) is the difference between the product of the integers and 240:
f(x) = x(x +2)(x -5) -240
Then all we need to do is ask the calculator to show the x-intercept. It is x=8.
So, the three integers are ...
