Since we know that m and n are lines, we can put these points into equations (slope-intercept form would be easiest), and then set the equations equal to each other to see what their x coordinate is when they intersect.
For (6,1) and (2,-3):
slope = (y2 - y1) / (x2 - x1) = (-3 - 1) / (2 - 6) = -4 / -4 = 1
plugging this into slope-intercept form:
y = mx + b
1 = 1 x 6 + b
1 = 6 + b
b = -5
So our equation in slope intercept form is:
y = x -5
Taking the same steps for line n, we find that it's slope-intercept form is:
y = -3x + 9
If we set these two equations equal to each other, we can find the x-coordinate of the point of intersection:
-3x + 9 = x - 5
14 = 4x
x = 3.5
Plugging 3.5 back into to one of our original equations will give us the y coordinate of intersection:
y = x - 5
y = 3.5 - 5 = -1.5
Therefore, the point of intersection is (3.5, -1.5)
9514 1404 393
Answer:
D. Henry's started farther, went faster
Step-by-step explanation:
Henry's balloon traveled 18 additional miles (from 30 to 48) in 2 hours, so had a speed of 18mi/(2h) = 9 mi/h. The equation for his position could be ...
y = 9x +30 . . . . . 9 is the rate of change; 30 is the initial value
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Comparing this to Tasha's position function, we see her balloon started 20 miles from town and traveled 8 miles per hour.
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Henry started farther from town and traveled faster.
Since there is four person, just ÷2 all of the required ingredients
Answer:
EF = 2 units
Step-by-step explanation:
Given:
Line segment DF and point E on it.
DF = 11 unit
DE = 9 Unit
Find:
EF
Computation:
We know that,
DF = DE + EF
11 = 9 + EF
EF = 11-9
EF = 2 units
Answer:
3.14
Step-by-step explanation: