Answer:
w = 2, EF = 30 , FG = 42
Explanation:
We have EF = 5w + 20 and FG = 7w + 28
Since these points E, F and G are col-linear points we have.
EG = EF + FG
And given that EG = 72
So, EF+EG = 72
5w + 20 + 7w + 28 = 72
12w + 48 = 72
12 w = 24
w = 2
So EF = 5w + 20 = 5x2 + 20 = 30
FG = 7w + 28 = 7x2 + 28 = 42
Answer:
Step-by-step explanation: (Equation 2) = 12(-12+9y/4) - 10y = -8
-144+108y/4 - 10y = -8
-144 + 108y - 40y/4 = -8
-144 + 108y - 40y = -32
108y - 40y = -32+144
68y = 112
Y= 1.64
2-4x+9y=14
12x-10y= -8
2-14+9y = 4x
-12 + 9y = 4x ( equation 3)
(Put in equation 2)
You would multiply 2.75 by 50, which is 137.5 miles
Answer:
The point that divides the directed line segment from J to K into a ratio of 5:1 is (6, 0), its y-coordinate is 0.
Step-by-step explanation:
We take J as point one, with coordinates (x1, y1) = (1, -10) and K as point two with coordinates (x2, y2) = (7, 2)
The "run" is the change in the x-coordinates: x2 - x1 = 7 - 1 = 6
The "rise" is the change in the y-coordinates: y2 - y1 = 2 - (-10) = 12
For the partition ratio, let the numerator = a and the denominator = b.
The coordinates of the point P (x, y), which divides the directed line segment from J to K into a ratio of 5:1 is:
x = x1 + a/(a+b)*run
x = 1 + 5/(5+1)*6
x = 6
y = y1 + a/(a+b)*rise
y = -10 + 5/(5+1)*12
y = 0
