Answer:
x=10
Step-by-step explanation:
Pull out like factors :
-9x + 90 = -9 • (x - 10)
Equations which are never true:
2.1 Solve : -9 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x-10 = 0
Add 10 to both sides of the equation :
x = 10
Answer:
the first plank is 0.5. the second plank is less. the third plank is used. hope this works.
Answer:
12
Step-by-step explanation:
I think that’s the only thing that makes sense.
Answer:
Step-by-step explanation:
2x² - 3x - 15 = 5
2x² - 3x - 20 = 0
Quadratic formula
x = [3 ± √(3² – 4·2(-20))] / [2·2]
= [3 ± √169] / 4
= [3 ± 13] /4
= -2.5, 4
The Pythagorean Theorem (
) can be used to solve this problem.
We know that the ladder is 15 feet in length, and is leaning on a wall from 5 feet away. To work this out, we simply need to figure out which side is the hypotenuse.
The hypotenuse of a right triangle is always the side opposite of the right (90°) angle. In this case, the right angle is that which is made at the wall's intersection with the ground.
In the Pythagorean Theorem, <em>c</em> represents the length of the hypotenuse.
So now, we can work out this problem substituting what we know into the theorem.
So now we have the result for
. Since 200 isn't a perfect square, we can represent the length of <em>b</em> as
which is our answer.
The ladder reaches feet up the wall.
Hope that helped! =)