Answer:
w = 33.94 ft
Step-by-step explanation:the roof takes the shape of a right angle. The top of the roof is a right angle. To find the width of the house, which is the hypotenuse of the triangular roof, we would apply pythagorean theorem.
Thus:


Square both sides

(to 2 decimal places)
The width of the house = 33.94 ft
Answer:
Factoring
Step-by-step explanation:
x^2 + 7x = x(x + 7) = 0
So
x = 0 or x = -7
Answer:
There are a lot of turning point in the history of algebra one of those is the discovery of the plain and the quadrants by Rene Descartes. This discovery paved way to a lot of knowledge which was later on use in solving other complicated mathematical problems.
Step-by-step explanation:
Answer:
2x² + 3x + 4 + (17x + 9) / (x² − 4)
Step-by-step explanation:
Start by setting up the division. Make sure to write all the coefficients, even the zero ones.
x² + 0x − 4 | 2x⁴ + 3x³ − 4x² + 5x − 7
Start by dividing the first term of the dividend (2x⁴) by the first term of the divisor (x²). That's 2x²; it'll be the first term in quotient. Multiply the divisor by 2x²:
2x⁴ + 0x³ − 8x²
Subtract that from the first three terms of the dividend:
3x³ + 4x²
Drop down the next term from the dividend, and start the process all over again.
3x³ + 4x² + 5x
When you finish, the quotient will be 2x² + 3x + 4, and the remainder will be 17x + 9.