Answer:
the answer to your question is x = 5
Answer:
1. 24 in^2
2. 51 in^2
3. 286 cm^2
4. 90 m^2
5. 60 cm^2
6. 57.06 m^2
7. 185 ft^2
8. 13.5 in^2
9. 252 ft^2
10. I'm not quite sure how to do this one
11. 315 m^2
12. 322 ft^2
13. I cant see all of this one
14. 39 in^2
15. 100 in^2
16. 72.5 in^2
Some of the numbers were very blurry and did my best to make them out so If I got any of them wrong I apologize.
Answer:
Area of the smaller square is x * x, which is x^2
Area of the larger square is (x + 7)(x + 7), which is x^2 + 14x + 49
The area of the shaded area = Area of the larger square - Area of the smaller square
Area of the shaded region = x^2 + 14x + 49 - x^2
Area of the shaded region is 14x + 49.
Answer: yea i joined H
Step-by-step explanation:
We can find this using the formula: L= ∫√1+ (y')² dx
First we want to solve for y by taking the 1/2 power of both sides:
y=(4(x+1)³)^1/2
y=2(x+1)^3/2
Now, we can take the derivative using the chain rule:
y'=3(x+1)^1/2
We can then square this, so it can be plugged directly into the formula:
(y')²=(3√x+1)²
<span>(y')²=9(x+1)
</span>(y')²=9x+9
We can then plug this into the formula:
L= ∫√1+9x+9 dx *I can't type in the bounds directly on the integral, but the upper bound is 1 and the lower bound is 0
L= ∫(9x+10)^1/2 dx *use u-substitution to solve
L= ∫u^1/2 (du/9)
L= 1/9 ∫u^1/2 du
L= 1/9[(2/3)u^3/2]
L= 2/27 [(9x+10)^3/2] *upper bound is 1 and lower bound is 0
L= 2/27 [19^3/2-10^3/2]
L= 2/27 [√6859 - √1000]
L=3.792318765
The length of the curve is 2/27 [√6859 - √1000] or <span>3.792318765 </span>units.