Consider point P(x,y) such that P, X and Y are collinear,
As vectors
XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)
Similarly,
PY = (6-x, -3-y)
But XP= 2^PY
[x+3, y-3] = [2(6-x), 2(-3-y)]
Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:
x+3 = 12 - 2x
x = 3
y-3 = -6-2y
y = -1
Therefore, P(3,-1)
Answer:
- slope: 1
- equation: y = x +3
Step-by-step explanation:
The slope of the line between two points can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (2 -0)/(-1 -(-3)) = 2/2
m = 1 . . . . . the slope of the line is 1
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The value of the y-intercept can be found by solving the slope-intercept equation for b.
y = mx +b
b = y -mx
b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)
The equation of the line with slope 1 and y-intercept 3 can be written as ...
y = x +3
0.72 as a fraction is 18/25.
Hoped this helped please mark as brainliest answer please. :)
Manufacturing Cost = M(s) + L(s)
<span>Manufacturing Cost = 225 + 0.65s + 54 + 1.15s </span>
<span>Manufacturing Cost = 1.8s + 279</span>
Answer:
the sum is 360 degrees, which means
360 = 124 + 124 + 2x + 2x
360 = 248 + 4x
-4x = 248 - 360
-4x = -112
x = 28
Check:
124 + 124 + 2(28) + 2(28) =
360
Your answer is x = 28
let me know if you have any questions <3
