Answer:
20(x+15)(x+10)
Step-by-step explanation:
Hi there!
As your question states, we need to fully factor the polynomial: 20x²+500x+3000
These are pretty big numbers; let's pull out the GCF, as that will make it easier to factor
the GCF is 20
so factoring 20 out of the polynomial will get:
20(x²+25x+150)
As you can see, the polynomial inside the parenthesis is a lot easier to factor than the original with really big numbers.
Now use FOIL to factor x²+25x+150 into 2 binomials
25 is the sum of the last terms
150 is the product of the last terms
think: which two numbers add up to 25 but multiply to get 150?
those two numbers are 15 and 10
x²+25x+150 factored is (x+15)(x+10)
but remember we have the 20 in front of x²+25x+150 (or now, (x+15)(x+10))
therefore the fully factored binomial is 20(x+15)(x+10)
Hope this helps! :)
Answer:
100/10=10
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
5 - 3x = - 10
<em>Subtract 5 from both sides:</em>
5 - 5 - 3x = -10 - 5
-3x = -15
<em>Divide -3 by both sides:</em>
-3x/-3 = -15/-3
x = 5
hope this helps!! p.s. i really need brainliest :)
Using the Pythagorean Theorem, the altitude to side c has a length of 11.3 inches.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs
and
of a right triangle with the length of the hypotenuse h, according to the following equation:

To find the altitude relative to side c, we bisect this side, which cuts it's length into half(now of 4 inches), forming a right triangle in which:
- The altitude is the other leg.
- The side of 12 inches is the hypotenuse.
Hence:


x = 11.3 inches.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
#SPJ1
Answer:
Step-by-step explanation:
(x,y)→(-x,-y)