Answer:
P ( -1, -3)
Step-by-step explanation:
Given ratio is AP : PB = 3 : 2 = m : n and points A(5,6) B(-5,-9)
We will calculate coordinates of the point P which divides line segment AB in the following way:
xp = (n · xa + m · xb) / (m+n) = (2 · 5 + 3 · (-5)) / (3+2) = (10-15) / 5 = -5/5 = -1
xp = -1
yp = (n · ya + m · yb) / (m+n) = (2 · 6 + 3 · (-9)) / (3+2) = (12-27) / 5 = -15/5 = -3
yp = -3
Point P( -1, -3)
The answer is 8 .. hope this helps a lot :)
Answer:
50
Step-by-step explanation:
Fastest method for calculating 34 is 68 percent of what number. Assume the unknown value is 'Y' 34 = 68% x Y. 34 = 68 / 100 x Y Multiplying both sides by 100 and dividing both sides of the equation by 68 we will arrive at: Y = 3 x 100 / 68. Y = 50%. Answer: 34 is 68 percent of 50
Answer:
Slope = 1/2
y-intercept = 30
Equation : y = 1/2x + 30
D. 150 miles
Step-by-step explanation:
We can use the two visible points you marked on the graph.
They are (0,30) which is also the y-intercept and (20,40).
Calculate change of y over change of x.
10/20 or 1/2
So the slope is 1/2 and the y-intercept is 30.
Therefore, using y = mx + b form, the equation is y = 1/2x + 30
Then, to find how many miles you drove if the cost was $105, we can plug in 105 for y in the equation.
105 = 1/2x + 30
75 = 1/2x
x = 150
