Answer:
583
Step-by-step explanation:
add 6 per every number till you get to the 94th term
Answer:
A. square root of a^2 + b^2 for both answers
Step-by-step explanation:
The first problem, we are given
a^2 + b^2 = c^2
What we do is solve for c.
sqrt(a^2 + b^2) = c
c = sqrt(a^2 + b^2)
For problem 2,
WE can apply the Pythagorean theorem because we have a right triangle.
The equations is
a^2 + b^2 = c^2 like the first problem
Solving gets us
sqrt(a^2 + b^2) = c
c = sqrt(a^2 + b^2)
Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148
Answer:
3 1/8 or 3.125.
Step-by-step explanation:
First you would change 1 1/4 to 5/4. Then you would make a proportion of 5/4 or I like to use decimals, 1.25, over 8. Your proportion would look like: 1.25/8 = x/20. Then cross multiply 1.25 and 20 then divide your product by 8. Your final answer is 3.125 or 3 1/8. Hope this helps!
The answer is B, you will need at least 6 spring roll wrapper packages.
The way you get the answer is by turning the word problem into an expression. You can make this into the fraction (17*6+15*3)/(25). 17 is the number of adults and you multiply this by how many spring rolls Jill wants to give each adult, which is 6, you can do the same for the children. Next the denominator is 25 which represents the amount of spring roll wrappers per each package. When you simplify the answer comes around to 5.88, but since you cant buy 88% of a spring role wrap package you have to buy another whole one, which makes the answer six.
