Answer:
r = 3
Step-by-step explanation:
x^2 + 6x + y^2 - 8y = - 16
Take half the linear term and square it.
x^2 + 6x + (3)^2 + y^2 - 8y + (-4)^2 = - 16
Add the squared amounts to the right.
x^2 + 6x + 9 + y^2 - 8y + 16 = - 16 + 9 + 16
Combine on the right.
x^2 + 6x + 9 + y^2 - 8y + 16 = 9
Represent the 2 quadratics as perfect squares.
(x + 3)^2 + y - 4)^2 = 9
The radius is the square root of 9 which is 3
A total of 1,716 selections of the 7 flowers are possible.
Step-by-step explanation:
Step 1:
There are 13 flowers from which Jeanine Baker plans to use 7 of them.
To determine the number of selections that are possible we use combinations.
The formula for combinations is;
.
Step 2:
In the given formula, n is the total number of options and r is the number of options to be selected.
For this question,
and
.
So 
So a total of 1,716 selections are possible.
About 500 times since there is a 50/50 chance
i think that is right
54<span> is what </span>percent<span> of </span>90<span> is equal to (</span>54<span> / </span>90<span>) x 100 = 60%. So if you buy an item at </span>$90<span> with </span>$54<span> discounts, you will pay $36 and </span>get<span> 60% discount ...</span>