Hello!
We can solve this system using substitution.
Since y = -3x + 5, we can substitute this into the following equation:
5x - 4(-3x + 5) = -3
Simplify:
5x - 4(-3x) - 4(5) = -3
5x + 12x - 20 = -3
Combine like terms:
17x - 20 = -3
Add 20 to both sides:
17x = 17
x = 1
Substitute to find y:
y = -3(1) + 5
y = -3 + 5
y = 2
Solution: (1, 2)
6 + ( y × 9) = 5
or
6 + 9x = 5
To determine the equation of the parabola with the given features above, we need to understand or know what are the significance of those values. The directrix is a line that is perpendicular to the axis of symmetry of a curve. A parabola is defined by its focus and the directrix. The parabola is a group of points where the distance to its focus is equal to the distance to its directrix. So, the directrix for this case is all points (x, -1). By using the distance formula, we construct the equation.
√((x-0)^2 + (y-1)^2) = √((x-x)^2 + (y+1)^2)
x^2 + (y-1)^2 = (y+1)^2
x^2 + y^2 - 2y+1 = y^2 +2y + 1
x^2 - 2y = 2y
x^2 = 4y
y = x^2/4
Answer:
length: 37
width: 11
Step-by-step explanation:
2(4x-7)+2x=96
8x-14+2x=96
10x-14=96
10x=110
x=11
The correct answer is C. Commutative Property