Answer:
-27
Step-by-step explanation:
Given expression:
-9(x + 3) = 27
Now use the open the bracket;
-9x - 27 = 27
Given -9x + (?) = 27
Comparing the two equations shows that the question mark corresponds to the value -27;
The solution is -27
Seven will be your radius because it is the smallest measurement 14 will be your diameter because that is double your radius and 44 is your circumference
The equation would y=mx+b. Thus, the equation with a zero slope would be, y=0x+4.
Emily can afford to spend her money in a variety of ways: She can buy all $4 stones, she can buy all $6 stones, or she can purchase a combination. If she buys all $4 stones she can buy 7. If she buys all $6 stones she can buy 5. On the other hand with the combination method: She can buy 6 $4 and 1 $6.
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Answer:
Distance between the observer and the red car is ![250 Sin \frac{\pi}{3}t](https://tex.z-dn.net/?f=250%20Sin%20%5Cfrac%7B%5Cpi%7D%7B3%7Dt)
Step-by-step explanation:
Diameter of field = 500 m
Radius of field =![\frac{Diameter}{2}=\frac{500}{2}=250 m](https://tex.z-dn.net/?f=%5Cfrac%7BDiameter%7D%7B2%7D%3D%5Cfrac%7B500%7D%7B2%7D%3D250%20m)
Let R be the radius and the speed at which the car completes race be w
So,![w=\frac{2\pi}{T}](https://tex.z-dn.net/?f=w%3D%5Cfrac%7B2%5Cpi%7D%7BT%7D)
Car finished 5 laps in minutes = 30
Car finished 1 lap in minutes = ![\frac{30}{5}=6](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B5%7D%3D6)
So, ![w=\frac{2\pi}{6}=\frac{\pi}{3}](https://tex.z-dn.net/?f=w%3D%5Cfrac%7B2%5Cpi%7D%7B6%7D%3D%5Cfrac%7B%5Cpi%7D%7B3%7D)
Refer the attached figure
Angle between car and observer = wt
So, Distance between the observer and the red car is give as A sin wt
So, Distance between the observer and the red car=![250 Sin \frac{\pi}{3}t](https://tex.z-dn.net/?f=250%20Sin%20%5Cfrac%7B%5Cpi%7D%7B3%7Dt)