Answer:
C. y = x^2 + 4x.
Step-by-step explanation:
Area of a trapezoid = (h/2)(a + b) where h is the altitude and a and b are the lengths of the parallel sides.
So here
Area y = (x/2)(8 + 2x)
= 8x/2 + 2x^2/2
= 4x + x^2.
Answer:
Andrew has 9 cars
Step-by-step explanation:
Let's start by defining what our unknowns are and how to name them:
For the number of cars Andrew has: let's use the letter A
For the number of cars Luke has: let's use the letter L
Not write the first sentence in mathematical terms:
"Luke has 4 more than triples the number of cars that Andrew has."
L = 3 * A + 4
The second phrase results on a very simple equation since it just states the number of cars that Luke has:
L = 31
Now we can combine these two equations by replacing the variable "L" in the first equation with the second equation and then solve for A:
L = 3 * A + 4
31 = 3 * A +4
31 - 4 = 3 * A
27 = 3 * A
A = 27/3
A = 9
Therefore, Andrew has 9 cars.
Answer:
The length of the first piece is 5 ft
The length of the second piece is 20 ft
The length of the third piece is 25 ft
Step-by-step explanation:
Let
x----> the length of the first piece
y ---> the length of the second piece
z ---> the length of the third piece
we know that
-----> equation A
-----> equation B
----> equation C
substitute equation B and equation C in equation A and solve for x
<em>Find the value of y</em>
<em>Find the value of z</em>
therefore
The length of the first piece is 5 ft
The length of the second piece is 20 ft
The length of the third piece is 25 ft
I am assuming that the question is asking for the equation of the line if it goes through those coordinates. In which case, the answer would be A. y = x - 4
We can see this because if we substitute in any of the x and y values, the equation is correct:
5 = 9 - 4
0 = 4 - 4
1 = 5 - 4
I hope this helps!