Answer:
a) 2x + 1, 4x + 7
b) L = 19 cm, W = 7 cm, A = 133 cm^2
Step-by-step explanation:
8x^2 + 18x + 7
ax^2 + bx + c
ac = 8 * 7 = 56
56 = 4 * 14
8x^2 + 18x + 7 =
= 8x^2 + 14x + 4x + 7
= 2x(4x + 7) + 1(4x + 7)
= (2x + 1)(4x + 7)
a) 2x + 1, 4x + 7
b)
2(3) + 1 = 7
4(3) + 7 = 19
A = LW = 19(7) = 133
Answer:
P = 26x -4
Step-by-step explanation:
The perimeter is found by
P = 2(l+w)
P = 2( 5x+7 + 8x-9)
Combine like terms
P = 2( 13x -2)
Distribute
P = 26x -4
Answer:
The rate of interest was 6%.
Step-by-step explanation:
Answer:
6 meters
Step-by-step explanation:
This is a right triangle (indicated by the little square in the corner), so it's like half a square. Formula for a right triangle's area is
÷ 2. So in this situation:
÷ ![2 = 6](https://tex.z-dn.net/?f=2%20%3D%206)
The points of intersection are at (3, 6) and (-1, -2).
Since both of these equations have y isolated, we can set them equal to each other:
2x=x²-3
We want all of the variables on one side, so subtract 2x:
2x-2x = x²-3-2x
0=x²-3-2x
Write the quadratic in standard form:
0=x²-2x-3
This is easily factorable, as there are factors of -3 that will sum to -2. -3(1)=-3 and -3+1=-2:
0=(x-3)(x+1)
Using the zero product property we know that either x-3=0 or x+1=0; therefore x=3 or x=-1.
Substituting this into the first equation (it is simpler):
y=2(3) = 6
y=2(-1)=-2
Therefore the coordinates are (3, 6) and (-1, -2).