Answer:
x-6=y
6x= 8+4y
Step-by-step explanation:
Answer:
The length of the wire is 15 ft.
Step-by-step explanation:
The solution of this exercise comes from an application of the Pythagorean theorem. The explanation here is complemented with the figure attached.
In the figure the segments AB and CD represents the vertical poles, where the length of AB is 6 ft and the length of CD is 15 ft. We want to find the length of the segment BD, that represents the stretched wire. The length of the segment AC is 12 ft, which is the distance between the poles.
If we draw an imaginary line from A perpendicular to DC, we obtain a rectangle ABEC, and a right triangle BED. Then, the length of BE is 12 ft. Moreover, the length of CE is 6 ft, because is equal to the length of AB. Hence, the length of DE is 9 ft, because DE = DC-EC.
As we want to find the length of the hypotenuse BD of the right triangle BED, and we already have the lengths of the other two sides, we only need to apply the Pythagorean theorem. This is

Then, taking square roots in both sides: BD=15 ft.
Answer: -9°C
Step-by-step explanation: subtracting integers is basically adding the second integer‘s opposite to the first integer
-3 - 6
-3 + -6
= -9
Given:
Initially the number of people at art museum = 250
Rate of increase = 3% per month
To find:
The number of people at art museum in the end of a year.
Solution:
The general exponential growth model is:

Where, a is the initial value, r is the rate of increase in % and t is the time period.
We know that, 1 year = 12 months.
Putting a=250, r=3 and t=12, we get






The number of people at the end of a year is 356. Therefore, the correct option is D.