The correct answer is 'Equation F can be written as 2d + 1 = 3d + 7'. In order to find the answer to a system of equations, the two equations must be set equal to each other. For instance, if we had the equations x = y + 1 and x = 3y - 1, we would set the two equations equal to one another to find the answer.
x = y + 1
x = 3y - 1
y + 1 = 3y - 1
1 = 2y - 1
2 = 2y
1 = y
x = y + 1
x = 1 + 1
<span>x = 2
We can use this to solve the set of equations above.
</span><span>2d + 1 = 3d + 7
</span>1 = d + 7
-6 = d
c = 2d + 1
c = 2(-6) + 1
c = -12 + 1
c = -11
Hope this helps!
Answer:
You didnt identify the volume so we can find the radius
Step-by-step explanation:
lol
Answer:
To find the area of the rectangular sides, use the formula A = lw
To find the area of the triangular faces, use the formula A = 1/2bh,
Step-by-step explanation:
1st formula where A = area, l = length, and h = height.
2nd formula where A = area, b = base, and h = height.
Answer:
Step-by-step explanation:
Given that
Area of a circle ![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
Circumference of the circle ![C = 2 \pi r](https://tex.z-dn.net/?f=C%20%3D%202%20%5Cpi%20r)
Let us re-write the equation of area of circle:
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
![A = \pi \times r \times r](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20%5Ctimes%20r%20%5Ctimes%20r)
Multiplying and dividing with 2:
![A = \dfrac{2\pi r}{2} \times r\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C}{2} \times r\\\text{Multiplying and dividing by } 2\pi:\\\Rightarrow A = \dfrac{C}{2} \times \dfrac{2\pi r}{2\pi}\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C \times C}{4 \pi}\\\Rightarrow A = \dfrac{C^2}{4 \pi}](https://tex.z-dn.net/?f=A%20%3D%20%5Cdfrac%7B2%5Cpi%20r%7D%7B2%7D%20%5Ctimes%20r%5C%5C%5Ctext%7BPutting%20%7D2%5Cpi%20r%20%3D%20C%3A%5C%5C%5CRightarrow%20A%20%3D%20%5Cdfrac%7BC%7D%7B2%7D%20%5Ctimes%20r%5C%5C%5Ctext%7BMultiplying%20and%20dividing%20by%20%7D%202%5Cpi%3A%5C%5C%5CRightarrow%20A%20%3D%20%5Cdfrac%7BC%7D%7B2%7D%20%5Ctimes%20%5Cdfrac%7B2%5Cpi%20r%7D%7B2%5Cpi%7D%5C%5C%5Ctext%7BPutting%20%7D2%5Cpi%20r%20%3D%20C%3A%5C%5C%5CRightarrow%20A%20%3D%20%5Cdfrac%7BC%20%5Ctimes%20C%7D%7B4%20%5Cpi%7D%5C%5C%5CRightarrow%20A%20%3D%20%5Cdfrac%7BC%5E2%7D%7B4%20%5Cpi%7D)
Hence, <em>A</em> in terms of <em>C</em> can be represented as:
![A = \dfrac{C^2}{4\pi}](https://tex.z-dn.net/?f=A%20%3D%20%5Cdfrac%7BC%5E2%7D%7B4%5Cpi%7D)
Answer:
k = 42
the constant of proportionality in this inverse variation is 42.
Step-by-step explanation:
Let x represent the number of people that want cake
And y the number of slices each can have;
Since x is inversely proportional to y;
x = k/y .....1
Where k is the proportionality constant;
To solve for k, we will substitute any of the case scenario given into equation 1.
If 14 people want cake, then they can each have 3 slices;
x = 14 , y = 3
substituting;
14 = k/3
k = 14 × 3 = 42
k = 42
the constant of proportionality in this inverse variation is 42.
Therefore,
x = 42/y