Answer:
45 inches
Step-by-step explanation:
85-40=45
b=45
how I know?
use the formula c^2-a^2=b^2
85 being c, a being 40 and b being 45
Given:
Per month fee = $55
One-time recital fee = $165
The equation represents the $495 total cost that Barbara paid to Dance Unlimited.

To find:
We need to find the number of month Barbara receive dance lessons from Dance Unlimited.
Solution:
We have,

Here, m is number of months. We need to isolate m.
Subtract 165 from both sides.


Divide both sides by 55.


The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.
The answer is 65%
You can find it by dividing 39 by 60 and you get .65 then multiply by 10 and you get 65!
Hope this helped and pls mark as brainliest!
~ Luna
We need to write the following expression and solve for x:
9/18 = 100/x
So: 9x = 1800
x = 200
So it would take him 200 minutes to deliver 100 papers.
We do the same for 72 papers
9/18 = 72/x
so 9x = 1296
and x = 144
It would take him 144 minutes to deliver 72 papers.
Answer:
9·x² - 36·x = 4·y² + 24·y + 36 in standard form is;
(x - 2)²/2² - (y + 3)²/3² = 1
Step-by-step explanation:
The standard form of a hyperbola is given as follows;
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
The given equation is presented as follows;
9·x² - 36·x = 4·y² + 24·y + 36
By completing the square, we get;
(3·x - 6)·(3·x - 6) - 36 = (2·y + 6)·(2·y + 6)
(3·x - 6)² - 36 = (2·y + 6)²
(3·x - 6)² - (2·y + 6)² = 36
(3·x - 6)²/36 - (2·y + 6)²/36 = 36/36 = 1
(3·x - 6)²/6² - (2·y + 6)²/6² = 1
3²·(x - 2)²/6² - 2²·(y + 3)²/6² = 1
(x - 2)²/2² - (y + 3)²/3² = 1
The equation of the hyperbola is (x - 2)²/2² - (y + 3)²/3² = 1.