Answer:
a = 1/2 (b) (h)
Step-by-step explanation:
Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2
Use Pythagorean again for sub triangle on the right: x^2 + h^2= 31^2
Find your base: 8+x=b
Find entire area: a = 1/2 (b) (h)
This can be solved by factoring.
First, set the expression equal to zero.
![3x^2+5x-2=0](https://tex.z-dn.net/?f=3x%5E2%2B5x-2%3D0)
Then, find two the factors of
![ac](https://tex.z-dn.net/?f=ac)
whose sum is
![b](https://tex.z-dn.net/?f=b)
.
![6, -1](https://tex.z-dn.net/?f=6%2C%20-1)
Split
![b](https://tex.z-dn.net/?f=b)
into these two factors.
![3x^2+6x-x-2=0](https://tex.z-dn.net/?f=3x%5E2%2B6x-x-2%3D0)
Next, factor by grouping.
![3x(x+2)-1(x+2) = (3x-1)(x+2) = 0](https://tex.z-dn.net/?f=3x%28x%2B2%29-1%28x%2B2%29%20%3D%20%283x-1%29%28x%2B2%29%20%3D%200)
By the Zero Product Property, set each factor equal to zero.
![3x-1 = 0 \\ x = 1/3](https://tex.z-dn.net/?f=3x-1%20%3D%200%20%5C%5C%20x%20%3D%201%2F3)
![x+2=0 \\ x = -2](https://tex.z-dn.net/?f=x%2B2%3D0%20%5C%5C%20x%20%3D%20-2)
These are the solutions. The Complex Conjugate Root Theorem and the Fundamental Theorem of Algebra both state that, in essence, real and imaginary solutions come in pairs of two and every polynomial of degree
![n](https://tex.z-dn.net/?f=n)
has exactly
![n](https://tex.z-dn.net/?f=n)
complex roots, but real roots are also complex roots. That sounds confusing, but this just means that you're done.
Your answers are -2 and 1/3. There are two real roots.
9^3 is in exponential form
Answer:
A
Step-by-step explanation:
the answer is A
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If you mean equal payments each week like 30x = 2730 then it would be $91 per week for the 30 weeks to pay it