Answer:
Therefore Planet Diner is located 170 miles from Clark.
Step-by-step explanation:
We are given our origin, which is Clark (C) and three Locations as Lutherville (L), Otisburg (O) and Planet Diner (PD).
We know that the distance between Clark and Lutherville is 145 miles.
We know that the distance between Clark and Otisburg is 195 miles.
We also know that Planet Diner is halfway between Lutherville and Otisburg, thus exactly in between them.
<em><u>So if we can find the position of Planet Diner between Lutherville and Otisburg, we will automatically know its distance from Clark, since Clark is the reference origin for ALL locations. </u></em>
Thus we have
Therefore Planet Diner is located 170 miles from Clark.
Answer:
3/4 or 0.75
Step-by-step explanation:
the equation is in slope-intercept form
y=mx+b
where m is the slope and b is the y-intercept.
you have already found the y-intercept to be -2, so now we just have to find the slope.
slope is also known as rise/run. so if we start at the y-intercept of -2, we can rise (go up) 3 units and then run (go over) 4 units until we reach another point on the line.
so the slope is 3/4 which is also equal to 0.75 units
A+b=-7
ab=-15
a=-7-b
b(-7-b)=-15
a=-7-b
-b^2-7b+15=0
a=-7-b
b^2+7b-15=0
a=-7-b
b=(-7±sqrt(109))/2
1)
a=-7-b
b=(-7+sqrt(109))/2
b=(-7+sqrt(109))/2
a=-7+3.5-sqrt(109)/2
b=(-7+sqrt(109))/2
a=-3.5-sqrt(109)/2
2)
a=-7-b
b=(-7-sqrt(109))/2
b=(-7-sqrt(109))/2
a=-7+3.5+sqrt(109)/2
b=(-7-sqrt(109))/2
a=-3.5+sqrt(109)/2
Answer:
Step-by-step explanation:
Let he speed of the boat on the lake is x.
<u>Considering the speed of the current it will take him:</u>
- 22.5/(x + 6) + 22.5/(x - 6) = 9
- 2.5 / (x + 6) + 2.5 / (x - 6) = 1
- 2.5(x - 6 + x + 6) = (x + 6)(x - 6)
- 2.5*2x = x² - 36
- x² - 5x - 36 = 0
- x = (5 ± √(5² + 4*36))/2 = (5 ± 13) / 2
- x = (5 + 13)/2 = 9 mph (negative root is discarded as the speed should be positive)
