Answer:
24 cm
Step-by-step explanation:
Let the length of other base be x cm
Therefore, by mid segment formula of a trapezoid, we have:
![23 = \frac{1}{2} (x + 22) \\ \\ 23 \times 2 = x + 22 \\ 46 = x + 22 \\ 46 - 22 = x \\ x = 24 \: cm](https://tex.z-dn.net/?f=23%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20%2B%2022%29%20%5C%5C%20%20%5C%5C%2023%20%5Ctimes%202%20%3D%20x%20%2B%2022%20%5C%5C%2046%20%3D%20x%20%2B%2022%20%5C%5C%2046%20-%2022%20%3D%20x%20%5C%5C%20x%20%3D%2024%20%5C%3A%20cm)
Answer:
The answer to the chart is y=x-1
Answer:
1) the constant of variation is 1/6
2) b=80 when A=10
3)the value of k is 40
4) x=0.032 when y = 10
Step-by-step explanation:
1)m varies directly as y
![\Rightarrow m \propto y \\\Rightarrow m =ky](https://tex.z-dn.net/?f=%5CRightarrow%20m%20%5Cpropto%20y%20%5C%5C%5CRightarrow%20m%20%3Dky)
k is the constant of variation
We are given that m is 6 when y is 36
![\Rightarrow 6=k(36)\\\Rightarrow \frac{6}{36}=k\\\Rightarrow \frac{1}{6}=k](https://tex.z-dn.net/?f=%5CRightarrow%206%3Dk%2836%29%5C%5C%5CRightarrow%20%5Cfrac%7B6%7D%7B36%7D%3Dk%5C%5C%5CRightarrow%20%5Cfrac%7B1%7D%7B6%7D%3Dk)
Hence the constant of variation is 1/6
2)A varies directly as b.
![\Rightarrow A \propto b\\\Rightarrow A =kb](https://tex.z-dn.net/?f=%5CRightarrow%20A%20%5Cpropto%20b%5C%5C%5CRightarrow%20A%20%3Dkb)
k is the constant of variation
We are given that A = 3 when b = 24
![\Rightarrow 3=k(24)\\\Rightarrow \frac{3}{24}=k\\\Rightarrow \frac{1}{8}=k\\So,A=\frac{1}{8}b](https://tex.z-dn.net/?f=%5CRightarrow%203%3Dk%2824%29%5C%5C%5CRightarrow%20%5Cfrac%7B3%7D%7B24%7D%3Dk%5C%5C%5CRightarrow%20%5Cfrac%7B1%7D%7B8%7D%3Dk%5C%5CSo%2CA%3D%5Cfrac%7B1%7D%7B8%7Db)
Substitute A=10
![10=\frac{1}{8}b](https://tex.z-dn.net/?f=10%3D%5Cfrac%7B1%7D%7B8%7Db)
80=b
So, b=80 when A=10
3)y varies inversely with x
![\Rightarrow y \propto \frac{1}{x}\\\Rightarrow y = \frac{k}{x}](https://tex.z-dn.net/?f=%5CRightarrow%20y%20%5Cpropto%20%5Cfrac%7B1%7D%7Bx%7D%5C%5C%5CRightarrow%20y%20%3D%20%5Cfrac%7Bk%7D%7Bx%7D)
k is the constant of variation
We are given that y = 5 when x = 8
![\Rightarrow 5 = \frac{k}{8}\\\Rightarrow 40=k](https://tex.z-dn.net/?f=%5CRightarrow%205%20%3D%20%5Cfrac%7Bk%7D%7B8%7D%5C%5C%5CRightarrow%2040%3Dk)
So, the value of k is 40
4)y varies inversely with x
![\Rightarrow y \propto \frac{1}{x}\\\Rightarrow y = \frac{k}{x}](https://tex.z-dn.net/?f=%5CRightarrow%20y%20%5Cpropto%20%5Cfrac%7B1%7D%7Bx%7D%5C%5C%5CRightarrow%20y%20%3D%20%5Cfrac%7Bk%7D%7Bx%7D)
k is the constant of variation
We are given that k=0.32
![\Rightarrow y = \frac{0.32}{x}](https://tex.z-dn.net/?f=%5CRightarrow%20y%20%3D%20%5Cfrac%7B0.32%7D%7Bx%7D)
Substitute y = 10
![\Rightarrow 10 = \frac{0.32}{x}\\\Rightarrow x = 0.032](https://tex.z-dn.net/?f=%5CRightarrow%2010%20%3D%20%5Cfrac%7B0.32%7D%7Bx%7D%5C%5C%5CRightarrow%20x%20%3D%200.032)
So, x=0.032 when y = 10
Answer:
3x + 7 + 5
Step-by-step explanation:
I could be wrong... there are 3 x's so that would be 3x, and then the 7 and 5. sorry if i'm wrong
Answer:
i think its 70 but i might be wrong pls let me know in the comments if i am right or wrong
Step-by-step explanation: