7 apples is how many the fellow purchased
Answer:
x=5
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 = c^2
x^2+ ( 2x+2)^2 = (2x+3)^2
FOIL the squared terms
x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9
Combine like terms
5x^2+8x +4 = 4x^2 +12x +9
Subtract 4x^2 +12x +9 from each side
5x^2+8x +4 -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9
x^2 -4x -5 =0
Factor
(x-5) (x+1) = 0
Using the zero product property
x=5 x=-1
But x cannot be negative or we would have negative length
x=5
Answer:
The slope is 4
The y-intercept is 3 OR (0, 3)
Step-by-step explanation:
Points on the graph: ( -1, -1) and (0,3)
Slope:
m=(y2-y1)/(x2-x1)
m=(3+1)/(0+1)
m=4/1
m = 4
Point slope-intercept:
y - y1 = m(x - x1)
y + 1 = 4(x + 1)
y + 1 = 4x + 4
y = 4x + 3
