I think it’s the first one “rushing to the widow....”
Answer: the speed of the current is 9 mph.
Step-by-step explanation:
Let x represent the speed of the current.
A boat can travel 21 mph in still water. If it travels 270 miles with the current. It means that the total speed with which the boat travelled with the current is (21 + x) mph.
Time = distance/speed
Time spent by the boat in travelling 270 miles is
270/(21 + x)
In the same length of time, it travels 108 miles against the current. It means that the total speed with which the boat travelled against the current is (21 - x) mph.
Time = distance/speed
Time spent by the boat in travelling 108 miles is
108/(21 - x)
Since the time is the same, then
270/(21 + x) = 108/(21 - x)
270(21 - x) = 108(21 + x)
5670 - 270x = 2268 - 108x
108x + 270x = 5670 - 2268
378x = 3402
x = 3402/378
x = 9
Answer:
Step-by-step explanation:
I know this is not your question but it may help
Question:Write an equation in Slope intercept form of the line that passes through the given points (-3,4) (1,4)
2 Answers:
1: y=x+4
2:
answer would be “y=4”
to find the answer: first you have to find the slope with the given points. (y2 - y1 / x2 - x1)
plug it in to get: (4-4 / 1- -3) = 0/4 = 0
this means the slope would be 0
if the y intercepts are the same then it usually indicates that the slope would be 0 and that the answer is the y intercept.. but if you don’t understand how to get slope-intercept using other coordinates then here’s how:
you can use point-slope formula (y-y1 = m (x-x1) in order to do this just plug in one of the coordinates. in this case an example of point-slope form would be:
y-4 = 0 (x - -3) or y-4 = 0(x-1)
it doesn’t matter which coordinates you use..
then solve the point slope for slope-intercept.
y-4 = 0(x-3) multiply 0 with x and -3
y-4 = 0x move -4 to the right by adding 4
y = 0x + 4 or y = 4 would be your answer!
Answer:
Reflected over the x-axis, vertically shrunk by a factor of 1/5, moved right 4 units and up 2 units.
Step-by-step explanation:
Parent Graph: f(x) = a(bx - h)² + k
<em>a </em>is vertical stretch (a > 1) or shrink (a < 1) and reflection over x-axis
<em>b</em> is horizontal stretch or shrink and reflection over y-axis
<em>h</em> is horizontal movement left (if positive) or right (if negative)
<em>k</em> is vertical movement up (if positive) or down (if negative)
Now that we have our rules, we simply apply it to y = -1/5(x - 4)² + 2
<em>a</em> = -1/5, so reflection over x-axis and vertical shrink of 1/5 (1/5 < 1)
Nothing has changed <em>b</em>, so no horizontal stretch/shrink
<em>h</em> = -4, so horizontal movement right 4 units
<em>k</em> = 2, so vertical movement up 2 units
Answer:
(-2, -4.5) is the answer!
I hope this helps!
