1. a = 10 b = ? c = 24
10² + b² = 24²
100 + b² = 576
b² = 476
b ≅ 21.8
2. a = 3 b = ? c = 5
b = 4 because of the 3 4 5 triangle rule
3. a = 9 b = ? c = 12
81 + b² = 144
b² = 63
b ≅ 7.9
Multiply. Distribute 3x to all terms in the parenthesis: x and -8
3x(x) = 3x²
3x(-8) = -24x
3x² - 24x is your answer
hope this helps
7 is a factor of 14 and is not a multiple of 2.
The standard form equation for a straight line is y=mx+b where m is the slope and b is the y intercept. Substitute your given information:
y= -3/7x+2 is the equation
Length = 6x - 12
Width = x
Area of a rectangle:
A = length x width
3744 = (x)(6x - 12)
3744 = 6x^2 - 12x
6x^2 - 12x - 3744 = 0
Use the quadratic equation to solve for x. The two solutions end up being 26 and -24. Since length is a scalar measurement, it can only be positive. Thus, the value of x is equal to 26 inches.
Width = 26 inches
Length = 6(26) - 12 = 144 inches
Hope this helps!! :)
