Answer:
7y+r+8x+94
Explanation
Given the algebraic expression 7(y+2) + (8+r) + 8(x + 9)
Given A, B and C. According to distributive law;
A(B+C) = AB + AC
A is distributed over C. In the same vein
On expanding the expression;
7(y+2) + (8+r) + 8(x + 9)
7y+7(2) + 8 + r + 8(x)+ 8(9)
7y+14+8+r+8x+72
Bringing the variables and constants together
7y+r+8x+14+8+72
7y+r+8x+94
Answer:
18
Step-by-step explanation:
A rectangular prism has four parallel edges along its length, four parallel edges along its width, and four parallel edges along its height.
We want to know how many different pairs of parallel edges there are. Starting with the length, the number of unique pairs is:
₄C₂ = 6
The same is true for the width and height. So the total number of different pairs of parallel edges is:
3 × 6 = 18
Answer:
it is a special type of ratio. It will compare 1 unit of some quantity to a different number of units of a different quantity
Step-by-step explanation:
Option B: ![$y=-\sqrt[3]{x-4}+7$](https://tex.z-dn.net/?f=%24y%3D-%5Csqrt%5B3%5D%7Bx-4%7D%2B7%24)
is the new equation
Explanation:
The given equation is ![$y=-\sqrt[3]{x}$](https://tex.z-dn.net/?f=%24y%3D-%5Csqrt%5B3%5D%7Bx%7D%24)
We need to find the new graph which is shifted 7 units up and 4 units right.
First, we shall shift the graph 7 units up.
The general formula to shift the graph b units up is given by
Thus, to shift the graph 7 units up, let us substitute 
and ![f(x)=-\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D-%5Csqrt%5B3%5D%7Bx%7D)
in the general formula, we have,
![y=$-\sqrt[3]{x}$+7](https://tex.z-dn.net/?f=y%3D%24-%5Csqrt%5B3%5D%7Bx%7D%24%2B7)
Now, we shall shift the graph 4 units right.
The general formula to shift the graph b units right is given by
Thus, to shift the graph 4 units right, let us substitute 
and ![f(x)=$-\sqrt[3]{x}+7$](https://tex.z-dn.net/?f=f%28x%29%3D%24-%5Csqrt%5B3%5D%7Bx%7D%2B7%24)
in the above equation, we have,
Therefore, the new equation is
Therefore, Option B is the correct answer.
X(x+2)=224x2+2x-224=0(x+16)(x-14) =0x= 16 or 14
the answer is 16 and 14
