For finding the given literal equation is necessary to apply the power 2 on both sides of the given equation and after that you should rewrite the equation as a function of the variable m .
<h3>
Power Rules</h3>
There are different power rules, see some them:
1. Multiplication with the same base: you should repeat the base and add the exponents.
2. Division with the same base: you should repeat the base and subctract the exponents.
3.Power. For this rule, you should repeat the base and multiply the exponents.
4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.
The question gives:
and from the previous equation, you should find
.
STEP 1 - Applying the power 2 on both sides of the equation
.
![t=2\pi *\sqrt{\frac{m}{k}}\\ \\ t^2=(2\pi *\sqrt{\frac{m}{k}})^2\\ \\ t^2=4\pi ^2*\frac{m}{k}](https://tex.z-dn.net/?f=t%3D2%5Cpi%20%2A%5Csqrt%7B%5Cfrac%7Bm%7D%7Bk%7D%7D%5C%5C%20%5C%5C%20t%5E2%3D%282%5Cpi%20%2A%5Csqrt%7B%5Cfrac%7Bm%7D%7Bk%7D%7D%29%5E2%5C%5C%20%5C%5C%20t%5E2%3D4%5Cpi%20%5E2%2A%5Cfrac%7Bm%7D%7Bk%7D)
STEP 2 - Rewriting the equation
as a function of the variable m .
![t^2=4\pi ^2*\frac{m}{k}\\ \\ t^2k=4\pi ^2m\\ \\ m=\frac{kt^2}{4\pi ^2}](https://tex.z-dn.net/?f=t%5E2%3D4%5Cpi%20%5E2%2A%5Cfrac%7Bm%7D%7Bk%7D%5C%5C%20%5C%5C%20t%5E2k%3D4%5Cpi%20%5E2m%5C%5C%20%5C%5C%20m%3D%5Cfrac%7Bkt%5E2%7D%7B4%5Cpi%20%5E2%7D)
Read more about power rules here:
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8m(4+7p). (The greatest common factor is 8.).
Answer: 11 x 13 feet
Step-by-step explanation:
Normally, a question such as this allows one to assume that the wall on the neighbor's garden will also serve as a wall on our garden, but the sentence ". . . and the fence must surround all four sides . . ." leads to the conclusion that the 48 feet must include the side next to the neighbor. That's waht tis assumes.
The diagram shows a rectangle, so the neighbor's length of 11 feet must be the same on the opposite side. That leaves (48 - 22) = 26 feet for the two sides. 26/2 = 13 feet each side. This leads to a garden dimesion of 11 x 13 feet.
Answer:
-3-3x
Step-by-step explanation:
3-3(x-2)
<em>3</em>-3x+<em>6</em>
-<em>3</em>-3x