Answer:
? i had this but forgot it sorry
Step-by-step explanation:
For this case we must simplify the following expression:

We have that by definition of properties of powers that is fulfilled:

Then, rewriting the expression:

Answer:

Answer:
<h3>#1</h3>
<u>The system of equations:</u>
- 2x + 7y = -11
- 3x + 5y = -22
Solve by elimination.
<u>Triple the first equation, double the second one, subtract the second from the first and solve for y:</u>
- 3(2x + 7y) - 2(3x + 5y) = 3(-11) - 2(-22)
- 6x + 21y - 6x - 10y = -33 + 44
- 11y = 11
- y = 1
<u>Find x:</u>
- 2x + 7*1 = -11
- 2x = -11 - 7
- 2x = -18
- x = -9
<u>The solution is:</u>
<h3>#2</h3>
<u>Simplifying in steps:</u>
- 8u - 29 > -3(3 - 4u)
- 8u - 29 > - 9 + 12u
- 12u - 8u < -29 + 9
- 4u < -20
- u < -5
10v⁶y⁷ = <u>2</u> * 5 * <u>vvvvv</u>v * <u>yyy</u>yyyy
6w⁴v⁵y³ = <u>2</u> * 3 * wwww * <u>vvvvv</u> * <u>yyy</u>
GCF: 2v⁴y³
<em>The LCM is the GCF and everything leftover</em>
LCM: 2v⁴y³ * (5 * v * yyyy) * (3 * wwww)
= (2 * 5 * 3) * (v⁴ * v) * (w⁴) * (y³ * y⁴)
= 30 v⁵ w⁴ y⁷
Answer: LCM = 30v⁵w⁴y⁷
By using the arc length formula, we will see that the length of the curve is L = 1.48
<h3>
How to use the arc length formula?</h3>
Here we have the curve:
y = 2 - x^2 with 0 ≤ x ≤ 1
And we want to find the length of the curve.
The arc length formula for a curve y in the interval [x₁, x₂] is given by:

For our curve, we have:
dy/dx = -2x
And the interval is [0, 1]
Replacing that we get:

This integral is not trivial, using a table you can see that this is equal to:

evaluated from x = 1 to x = 0, when we do that, we will get:

That is the length of the curve.
If you want to learn more about curve length, you can read:
brainly.com/question/2005046