<span>Apply the rules for other of operation to simplify 2 + 3 - 4 + ( 5 x 4)</span>
1. (x² + 24) factors as the difference of two squares (x² - (-24)) where -24 is the square of the complex number i√24 = 2i√6. The factoring is
(x - 2i√6)(x + 2i√6)
2. The square of half the coefficient of the x-term needs to be added: 4.5² = 20.25
This number goes in both boxes.
3. This is the square of (y² +20), so the factorization is similar to that for problem 1.
y⁴ + 40y² + 400 = (y² + 20)² = (y -2i√5)²(y +2i√5)²
Answer:
ab(28) or 28ab
Step-by-step explanation:
13ab + 15ab = 28ab
So in this case you have two equal side lengths, which means you have a 45,45,90 triangle. However to prove this you do the following…
Identify if it’s giving you hypotenuse, adjacent, or opposite side length.
In this instant, it’s giving an opposite and adjacent length.
Remember SOH CAH TOA
Because you have Opposite and Adjacent you use Tan and tan(x)= opp/adj
Tan(x)= 2root2/2root2
Isolate the x through the inverse of tan
To get x= tan-1(2root2/2root2)
And this gets you 45 degrees or .79 radians