Answer:
a=5, b=-2
Step-by-step explanation:
If you simplify the equation, you get:
3ax +6 -4x -4b - 11x - 14 = 0 =>
3ax - 15x -4b -8 = 0
group together x's and constants:
(3a-15)x -8 -4b = 0
To make this 0 for all x, we have to find an a such that 3a-15 = 0 and b such that -8-4b = 0. this leads to a=5, b=-2
Answer:
-15.96
Step-by-step explanation:
A conjugate is a binomial with the sign inside changed. So the conjugate of (1/5 + 4i) is (1/5 - 4i)
Set the original and the conjugate next to each other and F.O.I.L. Multiply the first numbers of each binomial, the 1/5 and the 1/5 to get 1/25. This is the "F."
Multiply the outer members, the 1/5 and the 4i to get - 60i. This is the "O."
Multiply the inner numbers ( the + 4i and the 1/5) to get + 60i. This is the "I."
Multiply the positive 4i and the negative 4i to get 16i squared
The positive 60i and the negative 60i cancel each other out.
The i squared changes into - 1. This makes the 16 negative.
Add 1/25 to - 16 to get - 15.96
<h3>I hope it is helpful for you .....</h3>
Answer:
The length of the slide is 10 feet.
Step-by-step explanation:
To find the length of the slide you have to use the formula:
a^2 + b^2 = c^2 (^2 means squared)
In this case:
a= 6 and b=8 c= unknown
6 squared (6 times 6) is 36
8 squared (8 times 8) is 64
Add these two numbers to get:
36+64=100
6^2+8^2=100
However, the length of the slide in not 100 feet. In order to find the correct length you must find the square root of 100. Which is 10.
What number times itself equals 100? 10.
The length of the slide in 10 feet.
