Y = x + 1....so we sub in x + 1 for y in the other equation
2x + y = 7
2x + x + 1 = 7 ....combine like terms
3x + 1 = 7....subtract 1 from both sides
3x = 7 - 1
3x = 6 ....divide both sides by 3
x = 6/3
x = 2
y = x + 1
y = 2 + 1
y = 3
so ur solution is : (2,3)
Given:
540 miles to college
average rate of 45 miles per hour
How many hours will it take him to get 3/4 of the way there?
540 miles * 3/4 = (540 * 3) / 4 = 1620/4 = 405 miles
405 miles / 45 mph = 9 hours.
It would take Tameron 9 hours to travel 3/4 of the way there.
Answer:
x=56
Step-by-step explanation:
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:
units
Step-by-step explanation:
If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.
We know the formula of length of perpendicular from a point
to the straight line ax + by + c = 0 is given by

Therefore, in our case the perpendicular distance is
units. (Answer)