Answer:
h(2)=-4
Step-by-step explanation:
h(2)=-2(2)
=-4
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Answer:
10 times
Step-by-step explanation:
Since every 1/5 of a mile she stops, that means she stops 5 times every mile. Multiply 5x2 because she jogged 2 miles, and the answer is 10!
9514 1404 393
Answer:
(a) ΔWZY ~ ΔWXZ ~ ΔZXY
Step-by-step explanation:
In order for the similarity statement to be correct, the corresponding sides need to be listed in the same order.
A: ΔWZY lists sides in order short leg (WZ), long leg (ZY).
ΔWXZ lists sides in order short leg (WX), long leg (XZ).
ΔZXY lists sides in order short leg (ZX), long leg (XY).
The first similarity statement is correct.
__
You can compare this to an incorrect one, the last one, for example.
ΔYZW lists sides in order long leg (YZ), short leg (ZW).
ΔXZW lists sides in order long leg (XZ), hypotenuse (ZW). Hypotenuse and short leg are not corresponding sides, so the similarity statement is incorrect.
Answer:
The image of the point p is 
.
Step-by-step explanation:
The center of dilation is origin and the scale factor is 
.
The coordinates of point p are
If k is the scale factor and origin is the center of dilation, then
Since the scale factor is and the origin is the center of dilation, therefore
The coordinates of image of p are
Therefore the image of the point p is .
Step-by-step explanation:
Let's say b is the rate of the boat in still water, and c is the rate of the current.
Distance = rate × time
Going upstream:
100 = (b − c) (5)
20 = b − c
Going downstream:
100 = (b + c) (2)
50 = b + c
Solve the system of equations using substitution or elimination. Using elimination, add the equations together:
70 = 2b
b = 35
c = 15
The boat's speed is 35 km/h, and the current's speed is 15 km/h.
