Answer:
$8(x + 10)
Step-by-step explanation:
The expression $8x + $80 has two terms. They are $8x and $80.
When you factor an expression, you are looking for numbers that every term in the expression can divide by (and give a whole number).
Just by looking at the terms, you see they both have $ you can factor out. They can both also be divided by 8. This is called taking out a common factor.
$8x + $80 Take out the common factor
= ($8x) / $8 + ($80) / $8
= $8(x + 10) The common factor goes outside the terms' bracket
This expression can't be factored more because there are no common factors. The binomial also doesn't have square numbers for example, which might make a case where you need to factor further with different methods.
Answer:
12 feet
Step-by-step explanation:
As a ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e
P²+B²= H²
Where,
'P' is perpendicular i.e the distance from the top of the ladder to the ground
'B' is base i.e be the distance from the bottom of the ladder to the house
'H' is hypotenuse i.e 13
considering 'x' as perpendicular
So, base would be 'x-7'
Applying Pythagoras theorem,
x² + (x-7)²= 13²
x² +x² -14x +49 =169
2x² -14x -120= 0
x² -7x -60=0 ----> solving the quadratic equation
x² + 5x -12x-60=0
x(x+5) -12(x+5)=0
Either : x+5=0 => x=-5
OR: x-12=0 => x=12
We'll choose the positive length.
therefore , The distance from the bottom of the ladder to the house is 12 feet
((12+5)+20÷4))+4
first is parentheses inside out
12+5 = 17
((17)+20÷4))+4
now divide inside the parenthesis
(17+5)+4
next parentheses
22+4
26
Answer: 26
Answer:
The tree was 5 feet when he bought it and it grew one foot every year.
I believe the equation would be h=t+5
Step-by-step explanation:
The answer would be h=t+5 because the height equals the year plus five.
