Answer: -4x - y = -50 (second option)
Step-by-step explanation: The only way lines won't intersect is if they're parallel. Parallel lines have the same slope --> the line must have a slope of -4x.
Option 1:
- y = 4x - 200 (add 4x to both sides)
- <em>Different slope.</em>
Option 2:
- -y = 4x - 50 (add 4x to both sides)
- y = -4x + 50 (divide by -1)
- <em>Same slope.</em>
Option 3:
- -y = -4x - 200 (subtract 4x from both sides)
- y = 4x + 200 (divide by -1)
- <em>Different slope.</em>
Option 4:
- -y = -4x - 50 (subtract 4x from both sides)
- y = 4x + 50 (divide by -1)
- <em>Different slope.</em>
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:
x = 8
Step-by-step explanation:
A line with "undefined" slope is a vertical line, whose equation is of the form ...
x = constant
In order for the line to go through a point with an x-coordinate of 8, the constant must be 8.
x = 8 . . . . . a vertical line through (8, -3)
Answer: How did the Ancestral Puebloans adapt their housing to the building materials that were available in the arid Southwest? They built some houses of stone blocks against canyon walls and built freestanding villages of stone and adobe brick.
Step-by-step explanation:
