Answer:
70
Step-by-step explanation:
If you use Pascal's Triangle, you will need 9 lines, since there are 9 terms in a binomial raised to the 8th power. Those 9 terms are:
1, 8, 28, 56, 70, 56, 28, 8, 1
The first expansion through the one we need are below (I hope you know how to use Pascal's Triangle!):
Answer:
<h3>27</h3>
Step-by-step explanation:
Given
f(x)= x^2-2 and g(x) = 4f (x)-1
g(x) = 4(x^2-2) - 1
g(x) = 4x²-8-1
g(x) = 4x²-9
Get g(-3):
g(-3) = 4(-3)²-9
g(-3 = 4(9) - 9
g(-3) = 36-9
g(-3) = 27
This problem can be seen as a rectangle triangle where the vertices are:
Vertice 1: home plate
Vertice 2: First base
Vertice 3: second base.
Right angle between vertice 1 and 2 and vertice 2 and 3.
Distance between each base in 90 '.
Calculating then the distance between home plate and second base we have:
d = root ((90) ^ 2 + (90) ^ 2)
d = 127.28 feets
answer:
the distance between home plate and second base is 127.28 feets
Hi there!
We can begin by multiplying by its conjugate:
Simplify using the identity:
Take the square root of the expression:
Multiply again by the conjugate to get a SINGLE term in the denominator:
Simplify:
Use the above trig identity one more:
Cancel out sinA:
Split the fraction into two:
Recall:
Simplify:
Let, the original price = x
x = 45 * 125 /100
x = 45 * 1.25
x = 56.25
So, your final answer is $56.25
Hope it helped
