April wants to paint three walls of her bedroom. The walls are each 90 square feet. Paint is only sold in whole quarts, and each
1 answer:
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Answer:
x cannot be 5 or -3.
Step-by-step explanation:
The restrictions for a fraction is that the bottom cannot be 0.
So if we find when the bottom is 0 we have found the values that x cannot be.
Let's solve x^2-2x-15=0.
Since the coefficient of x^2 is 1 all we have to do is find two numbers whose product is -15 and whose sum is -2.
Those numbers are -5 and 3 since (-5)(3)=-15 and (-5)+(3)=-2.
So the factored form of the equation is:
(x-5)(x+3)=0
This means either x-5=0 or x+3=0.
We do have to solve both.
x-5=0 can be solved by adding 5 on both sides.
x-5+5=0+5
x+0=0+5
x=5
x+3=0 can be solved by subtracting 3 on both sides.
x+3-3=0-3
x+0=0-3
x=-3
So x can be any number except x=5 or x=-3.
We already factored the bottom as (x-5)(x+3).
The top is a difference of squares, x^2-a^2,
which can be factored as (x-a)(x+a).
So the top factors as (x-5)(x+5).
The fraction can then be written as:
This can further simplified assuming x is not 5 we can write it as . I canceled the common factor of (x-5).
Answer:
0.7246 radians
Step-by-step explanation:
According to the Question,
Given that, a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches
- The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:
d = √{ (12)² +(15)² } = √(144+225) = √369inches
- The tangent of the angle is the ratio of the height of the box to this length
Tan∅ = 17/√369
Taking the , we have
∅ = (17/√369) ≈ 0.7246 radians