Answer:
p²q³ + pq and pq(pq² + 1)
Step-by-step explanation:
Given
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Required
Collect like terms
We start by rewriting the expression
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Collect like terms
3p²q² -3p²q² - 3p²q³ +4p²q³ + pq
Group like terms
(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq
Perform arithmetic operations on like terms
(0) - (-p²q³) + pq
- (-p²q³) + pq
Open bracket
p²q³ + pq
The answer can be further simplified
Factorize p²q³ + pq
pq(pq² + 1)
Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)
Answer:
C. hyperbola; 
Step-by-step explanation:
The given conic has equation:
Divide through by 225.
This is a hyperbola centered at the origin.
The hyperbola has been translated from the origin to (0,5).
The translated hyperbola will have equation;
Multiply through by 225.
Expand
Rewrite in general form;
Answer:
nope. im done with school :D
Step-by-step explanation:
Decimal division is super easy, let me show you how.
First, let's remove the decimal from both numbers. We have <em>184 </em>and <em>340</em>. Now let's multiply those two numbers.
184*340 = 62560.
Now, we need to figure out how many decimal places are in the original decimals. 18.<u>4</u> has one decimal place, and 3.<u>4</u> has one decimal place. (We don't count zeros at the end of a decimal as a decimal place.)
Now that we've figured out that there was a total of two decimal places, there can only be two decimal places in the answer. Let's take the 62560 that we got, and put a decimal in it. Remember, only two decimal places.
If there's only two decimal places in 62560, it would look like this: 62.<u>56</u> (<em>Remember, zeros at the end of a decimal does not count as a decimal place!)</em>
There's your final answer. 62.56.
Hope this explanation helped you out. :)
⓵ The pythagorean theorem is calculated by using this formula : a² + b² = c²
“a” is the length of one of the legs
“b” is the length of the other leg
“c” is the length of the hypotenuse
⓶ Now that you have the formula, replace the letters in the formula with the information that you have :
8² + b² = 10²
⓷ Now that this is done, you need to isolate the “b²” in order to find the length of the other leg of the triangle :
8² + b² = 10²
-8² -8²
↓
b² = 36
√b² √36
↓
b = 6
So the final answer is : the length of the other leg of the triangle is ↠ 6 feet
I really hope this helped, if there’s anything just let me know! ☻
