Its 2, (why would you put a question if you know the answer!?!!?)
Answer:
The top speed of William's boat was 45 mph
Step-by-step explanation:
Let
x -----> represent the rate of the boat in still water in mph
we know that
The speed or rate is equal to divide the distance by the time
speed=distance /time
time=distance/speed
<em>Downstream</em>
speed=(30+x) mph
distance=10 mi
time1=10/(30+x)
<em>Upstream</em>
speed=(x-30) mph
distance=2 mi
time2=2/(x-30)
The sum of the time downstream plus the time upstream must be equal to 16 minutes
Convert minutes to hours
Multiply by (x+30)(x-30) both sides
Multiply by 60 both sides
Divide by 16 both sides
The solution is x=45\ mph
Answer:
(a) 7.1
(b) (5/2, 3/2)
(c) 2
(d) y = -x +4
Step-by-step explanation:
<h3>(a)</h3>
The length of AC is found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((5 -(-2))² +(-1 -0)²) = √(49 +1) = 5√2 ≈ 7.1
The length of AC is about 7.1.
__
<h3>(b)</h3>
The midpoint has coordinates that are the average of the end point coordinates.
midpoint BC = (B + C)/2 = ((0, 4) +(5, -1))/2 = (5, 3)/2
midpoint BC = (5/2, 3/2)
__
<h3>(c)</h3>
The slope is found using the slope formula.
m = (y2 -y1)/(x2 -x1)
For points A(-2, 0) and B(0, 4), the slope of the segment between them is ...
m = (4 -0)/(0 -(-2)) = 4/2 = 2
The slope of AB is 2.
__
<h3>(d)</h3>
The slope of line BC is found in the same was as for AB.
m = (-1 -4)/(5 -0) = -5/5 = -1
The y-intercept of the line is point B, at y=4. So, the equation of line BC is ...
y = mx +b . . . . . where m is the slope, and b is the y-intercept
y = -x +4
Answer:
1 is not a transformation
2 is a reflection
3 is a dilation
4 is a translation
Step-by-step explanation:
