Answer:
12x² - 2x - 30
Step-by-step explanation:
When multiplying binomials, remember to follow the FOIL method:
FOIL =
First
Outside
Inside
Last
Follow FOIL: (3x - 5)(4x + 6)
(3x)(4x) = 12x²
(3x)(6) = 18x
(-5)(4x) = -20x
(-5)(6) = -30
Combine like terms, simplify:
12x² + 18x - 20x - 30
12x² + (18x - 20x) - 30
12x² - 2x - 30
12x² - 2x - 30 is your answer.
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Sally ⇒
4 hours = 1 room
1 hour = 1/4 of the room
Steve ⇒
9 hours = 1 room
1 hour = 1/9 of the room
Sally + Steve ⇒
1 hour = 1/4 + 1/9 = 9/36 + 4/36 = 13/36
Number of hours needed ⇒
1 ÷ 13/36 = 1 x 36/13 = 36/13 = 2 10/13 hours
Answer: They need 2 10/13 hours.
You can look at -32 as being -2^5 so if you write (-2^5)^3/5 the 5's cancel out making it -2^3 which equals -8
Answer:
2x - y - 7 = 0
Step-by-step explanation:
Since the slope of parallel line are same.
So, we can easily use formula,
y - y₁ = m ( x ₋ x₁)
where, (x₁, y₁) = (8, 9)
and m is a slope of line passing through (x₁, y₁).
and since the slope of parallel lines are same, so here we use slope of parallel line for calculation.
and, Slope = m =
here, (xₐ, yₐ) = (2, 7)
and,
⇒ m =
⇒ m = 2
Putting all values above formula. We get,
y - 9 = 2 ( x ₋ 8)
⇒ y - 9 = 2x - 16
⇒ 2x - y - 7 = 0
which is required equation.
The answer is $380.
First find the area of the triangle. The area (A) of the triangle with base b and height h is:
A = b * h / 2
The width of the floor is the base of the triangle: b = 8 ft
The extension into the area is the height of the triangle: h = 10 ft
A = 8 * 10 / 2
A = 80/2
A = 40 ft²
The cost is $9.50/ft². So, the price of the white marble section is:
40 ft² * $9.50/ft² = $380