Answer:
A
Step-by-step explanation:
I did the math (:
Good luck
Volume ratio = 1331/729 which is the cube of the linear scale factor.
To find the linear scale factor, let find the cubic root of the numerator & the denominator:
∛1331 = ∛11³ = 11
& ∛729 = ∛9³ = 9
So the linear scale is 11/9 ==> then the ratio of their surface area will be:
11²/9² ==> 121/81.
Note, if you have a linear scale, then the surface will be the square othis scale & the volume will be the cube of the linear scale
Answer:i need help with this also
Step-by-step explanation:
We determine line m as follows:
*First, by theorem we have the following:
![m_1=-\frac{1}{m_2}](https://tex.z-dn.net/?f=m_1%3D-%5Cfrac%7B1%7D%7Bm_2%7D)
Here m1 & m2 are the slopes of two perpendicular lines. For all lines that are perpendicular that is true, so we calculate the slope of line m using the slope of the function given [Which has a slope of 7/4]:
![m_1=-\frac{1}{\frac{7}{4}}\Rightarrow m_1=-\frac{4}{7}](https://tex.z-dn.net/?f=m_1%3D-%5Cfrac%7B1%7D%7B%5Cfrac%7B7%7D%7B4%7D%7D%5CRightarrow%20m_1%3D-%5Cfrac%7B4%7D%7B7%7D)
So, the slope of line m is -4/7. Now, using this slope and the point (-1, 4) we replace in the following expression:
![y-y_1=m_1(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm_1%28x-x_1%29)
Here x1, y1 & m1 are the x-component of the point, the y-component of the point, and the slope of the line respectively, so we replace and solve for y:
![y-4=-\frac{4}{7}(x-(-1))\Rightarrow y-4=-\frac{4}{7}x-\frac{4}{7}](https://tex.z-dn.net/?f=y-4%3D-%5Cfrac%7B4%7D%7B7%7D%28x-%28-1%29%29%5CRightarrow%20y-4%3D-%5Cfrac%7B4%7D%7B7%7Dx-%5Cfrac%7B4%7D%7B7%7D)
![\Rightarrow y=-\frac{4}{7}x+\frac{24}{7}](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D-%5Cfrac%7B4%7D%7B7%7Dx%2B%5Cfrac%7B24%7D%7B7%7D)
And that last function of y is the line m.
Answer:
W=5
Step-by-step explanation:
W=Width=Length + 1
L = Length
Area = Length * Width = 20
Area = L * W = L * (L+1) = 20
Distribute the L: L^2 + L = 20
Subtract 20 from both sides: L^2 + L -20 = 20-20
Simplify: L^2+L-20=0
Factor (L-4)(L+5)=0
Solve using the zero property: L-4=0, L=4 L+5=0, L=-5
The two options for length are 4 and -5. Only 4 will work for L since it cannot be negative. Width is Length + 1 = 5