Answer:
The slope is 1/2
Step-by-step explanation:
To get the slope, we select any two points on the line and apply the slope formula
The points are;
(5,4) and (9,6)
The formula for the slope is;
m = (y2-y1)/(x2-x1)
m = (6-4)/(9-5) = 2/4 = 1/2
First you make the mixed numbers/fractions into improper fractions. After that, you must find the common denominator, the LCM of 9 and 6 (for the 2nd problem). After that, if you can, simplify the fraction to lowest terms, which also includes making it a mixed number/fraction.
I hope this helps! :)
Answer:
Step-by-step explanation:
we would like to factor the following:
let a²+b²=x
thus substitute:
rewrite the middle term as 4x-22x:
factor out x:
factor out -22:
group:
substitute back:
and we are done!
(f g)(x) means f(x) * g(x), so plug the value of each function in:
(x+2)(x-4)
And solve by distributing using FOIL:
Firsts: x * x = x²
Outers: x * -4 = -4x
Inners: 2 * x = 2x
Lasts: 2 * -4 = -8
Combine them all together:
x² - 4x + 2x - 8
Combine like terms (the -4x and 2x):
x² - 2x - 8
So the second to last one is correct.
Answer:
80 m²
Step-by-step explanation:
If we assume the carpet is sold by the square meter, then we need to find the area of the family room in square meters.
The area of a rectangle is the product of its length and width, so Thresa's family room will have an area of ...
(8 m)×(10 m) = 80 m²
Thresa needs to buy 80 m² of carpet to cover her family room.
