Answer:
Attached please find response.
Step-by-step explanation:
We wish to find the area between the curves 2x+y2=8 and y=x.
Substituting y for x in the equation 2x+y2=8 yields
2y+y2y2+2y−8(y+4)(y−2)=8=0=0
so the line y=x intersects the parabola 2x+y2=8 at the points (−4,−4) and (2,2). Solving the equation 2x+y2=8 for x yields
x=4−12y2
From sketching the graphs of the parabola and the line, we see that the x-values on the parabola are at least those on the line when −4≤y≤2.
Proof:-
In ∆XYZ and ∆VWZ
![\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf](https://tex.z-dn.net/?f=%5Cbecause%5Csf%5Cbegin%7Bcases%7D%5Csf%20XZ%5Ccong%20VZ%28Given%29%5C%5C%20%5Csf%20YZ%5Ccong%20WZ%28Given%29%5C%5C%20%5Csf%20%3CXZY%5Ccong%20%3CWZV%28Opposite%20angles%29%5Cend%7Bcases%7D)
Hence
∆XYZ
∆VWZ(Side-Angle-Side)
Answer:
84.8 sq in
Step-by-step explanation:
The area of the top and bottom are each 1/2(3.7 x 4) = 7.4, so they total 14.8
2 of the sides are 5 x 5 = 25, so they total 50
1 side is 5 x 4 = 20
14.8 + 50 + 20 = 84.8 sq in
Answer:
(i) 28. (ii) 34. (iii) 42.5
Step-by-step explanation:
![first \: quartiles \: = \frac{1}{4} \times sum \: of \: the \: data](https://tex.z-dn.net/?f=first%20%5C%3A%20quartiles%20%5C%3A%20%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20%20%5Ctimes%20sum%20%5C%3A%20of%20%5C%3A%20the%20%5C%3A%20data)
Answer:
67.00
Step-by-step explanation:
Add the numbers.
You get 67.08.
You want it rounded.
So now the answer is 67.00.