The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*<em>look at the image I attached for a better explanation</em>
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
Thus the <u>missing side length is 8 cm</u>
Hope that helps!
Question is not written properly but i think you are looking for the table of given equation y=400-55x. So I will explain about how to get that.
number of hours can't be negative so that means x must be 0 or more.
like x=0,1,2,3,...
we just have to plug these x-values into above equation to find the y-value in order to calculate table.
I will show you calculation for x=2
y=400-55x=400-55*2=400-110=290
so the point in table will be (2,290)
similarly we can find more point and get final table as shown below:
Answer:
The answer is -1.9f-16
Step-by-step explanation:
For this case we have the following fraction:
We want to rewrite this fraction in its simplest form.
To do this, we divide the numerator and the denominator by the same factor.
We have then:
Rewriting we have:
Answer:
The fraction in its simplest form is given by:
Notice that 6 is a factor of all three coefficients and thus can be factored out:
6x^2 -42x-54 => 6(x^2 - 7x - 9). x^2 - 7x - 9 does not factor so easily. Remembering that obtaining roots of a quadratic makes it easy to write out the corresponding factors, let's apply the quadratic formula to x^2 - 7x - 9:
a=1, b = -7, c = -9. Then the discriminant is b^2 - 4ac, or (-7)^2 - 4(1)(-9), or 85.
Thus, the roots are:
7 plus or minus √85 7 plus or minus 9.220
x = -------------------------------- = ------------------------------------
2 2
Let's call these roots "a" and "b." Then the factors of the quadratic x^2 - 7x - 9 are (x-a) and (x-b), or, in this case, (x-8.11) and (x+1.11).
The original quadratic has three factors: 6, (x-8.11) and (x+1.11).