<span>Thomas needs to cut a piece of wood for a model airplane he is builing. He has four pieces of wood: 5 ft, 4 ft, 6 ft, 3 ft long. If the length of wood he needs to cut √11 ft long, which piece of wood should be cut to have the least amount of unused wood</span>
Rearrange them to slope-intercept form
y = 7x + 2
y = -(1/7) x + 8
product of their slopes is 7 * -1/7 = -1 so they are perpendicular
In order to solve this problem, we need to use the factor and remainder theorem. Suppose we have a quadratic equation of Q(x) and a binomial x-a=0, where a is a constant such that x=a. When you substitute x=a to the quadratic equation, you use the answer as basis. Whatever the answer is, is the remainder. If the answer is zero, that means that x=a is a factor.
In this case, we substitute x=3 to the quadratic equation and equate to zero to find k.
Q(x) = x²+kx-6
Q(3) = 3²+k(3)-6 = 0
k = -1
The value of k is -1.
Hello,
g(3y)=2(3y)²+3y=18y²+3y
====================
----------------------------------------
Define x :
----------------------------------------
Let the number be x.
----------------------------------------
Construct equation:
----------------------------------------
<span>Nine more than the product of 4 and the number is 73
</span>⇒4x + 9 = 73
----------------------------------------
Solve for x:
----------------------------------------
4x + 9 = 73
4x = 73 -9
4x = 64
x = 16
----------------------------------------
Answer: Ken's number is 16.
----------------------------------------
