Answer:
3(x+2)
Step-by-step explanation:
Answer:
243,000 people
Step-by-step explanation:
First, what we need to do is to calculate the area of the region using the 5-mile radius
Mathematically, we can calculate this as the area of a circle
Area = pi * r^2
Our r here is 5 miles
Area = pi * 5^2 = pi * 25 = 78.54 square miles
Now to get the population, we know that per square mile we have 3,100.
Hence per 78.54 square mile, we have 78.54 * 3100 = 243,273 people
To the nearest thousand, 243,000
Answer:
m<FED=60, m<DEN=120
Step-by-step explanation:
m<FED=60
This is because <GEN and <FED are vertical angles.
Vertical angles are always congruent.
Vertical angles are formed by a pair of intersecting lines, and are the angles directly across from one another.
m<DEN=120
This is because <DEN and <GEN are supplementary.
Supplementary angles add up to 180 degrees.
We know this because a straight line is always 180 degrees.
So:
m<DEN+m<GEN=180
m<DEN+60=180
m<DEN=120
Answer:
C: 
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
