A = lw - s²
A = (x + 10)(2x + 5) - (x + 1)²
A = (x(2x + 5) + 10(2x + 5)) - (x + 1)(x + 1)
A = (x(2x) + x(5) + 10(2x) + 10(5)) - (x(x + 1) + 1(x + 1))
A = (2x² + 5x + 20x + 50) - (x(x) + x(1) + 1(x) + 1(1))
A = (2x² + 25x + 50) - (x² + x + x + 1)
A = (2x² + 25x + 50) - (x² + 2x + 1)
A = (2x² - x²) + (25x - 2x) + (50 - 1)
A = x² + 23x + 49
Answer:
Step-by-step explanation:
a. 16b^2c^12-0.25 can be rewritten as follows because it is the difference of two squares:
(4bc^6 - .5)(4bc^6 + .5)
b. 81x^6y^2-0.36a^2
is the difference of two squares, just like (a) (above); its factors are:
(9x^3y - 0.6a)(9x^3y + 0.6a)
Put 0 in the middle and put the #s around it.
Answer:
The trapezoid has an are of 366 feet²
Step-by-step explanation:
A trapezoid is a quadrilateral with two parallel opposite sides known as the bases separated by a height. Given that the trapezoid:
Has two bases with one base of length (a) = 27 feet and another base of length (b) = 34 feet. The trapezoid also have a height (h) = 12 feet.
The area of the trapezoid (A) is given as:
Substituting values:
The trapezoid has an are of 366 feet²
Answer: 2.524 ft----
The equation for the surface area of a sphere is
.
SA = surface area
r = radius
You're told that the surface area, SA = <span>80 square feet. Plug that into the equation and solve for r:
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