Answer:
y=-3
Step-by-step explanation:
5(y+2/5)=-13
5y+10/5=-13
5y+2=-13
5y=-15
y=-3
Check:
5(-3+2/5)=-13
-15+2=-13
-13=-13
Answer:
87km
Step-by-step explanation:
Volume is proportional to radius cubed, so radius is proportional to the cube root of volume.
Increase volume by a factor of 10^6 and radius increases by a factor of the cube root of 10^6, which is 10^(6/3) = 10^2 = 100.
100 * 0.87 km = 87 km
Answer:
a. 15 = d/600 + 12 + d/480
b. 800 feet
Step-by-step explanation:
a. Let distance between hive and flowerbed be "d" feet
Speed of bee during motion from hire to flowerbed = 10ft / sec = (10*60)fit/minute
Speed of bee during reverse motion = 8 ft/sec = (8*60)ft/min
Time which the bee stayed at flower bed = 12 minute
Time of its total journey = 15 minutes
Total Time = Time of travel from hive to flowerbed + Time of staying in flowerbed + Time of reverse travel
15 = d/10*60 + 12 + d/8*60
15 = d/600 + 12 + d/480....................(Required equation)
b. 15 = d/600 + 12 + d/480
d/600 + d/480 = 15 - 12
d/600 + d/480 = 3
<u>4d + 5d </u> = 3
2400
9d = 2400 * 3
9d = 7200
d = 7200/9
d = 800 feet
Hence, the flowerbed is 800 feet far from the hive.
Answer and Step-by-step explanation:
First, you want to graph the line of x = -1. This line is simply a vertical line running through (-1, 0).
The coordinates of each of the points are:
G(5, 9)
F(8, 9)
D(5, 6)
E(8, 6)
When we reflect point G over the line x = -1, we will get a point with the same y-coordinate, but with a different x-coordinate. Since 5 is 6 units away from -1, when you reflect G, the new x-coordinate will be -1 - 6 = -7. So, the new point for G is (-7, 9).
By similar reasoning for all the other points, we have:
F'(-10, 9)
D'(-7, 6)
E'(-10, 6)
Finally, just graph the points G'(-7, 9), F'(-10, 9), D'(-7, 6), and E'(-10, 6), and that's your new shape.
Hope this helps!