Answer:
all work is shown and pictured
Find the area of an equilateral triangle with a side of 10cm
1 answer:
You might be interested in
Answer:
-4 < x < 3
Step-by-step explanation:
<u>Information from Parts 1-4 of the same question:</u>
- A = (3, 0)
<u>Information from Parts 5-8 of the same question:</u>
- D = (-4, 7)
The values of x for which g(x) < f(x) are the values of x between the points of intersection of the two functions: points D and A.
From part (2) of the question, we found that A = (3, 0).
From part (5) of the question, we found that D = (-4, 7).
Therefore, the values of x for which g(x) < f(x) are -4 < x < 3.
In interval notation this is: (-4, 3).
It is D, Nancy Reynolds from Chicago.
The denominator of the exponent is the index of the radical, the base of the exponent is the base of the radical, and the numerator of the exponent is the exponent of the radicand.
![8^{\frac{9}{5}}= \sqrt[5]{8^9}](https://tex.z-dn.net/?f=8%5E%7B%5Cfrac%7B9%7D%7B5%7D%7D%3D%20%5Csqrt%5B5%5D%7B8%5E9%7D%20)
The denominator of the exponent is the index of the radical, the base of the exponent is the base of the radical, and the numerator of the exponent is the exponent of the radicand.
Answer:
Option B.
Step-by-step explanation:
The given curve is
We need to find the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve .
Let the vertex in quadrant I be (x,y), then the vertex in quadrant II is (-x,y) .
Length of the rectangle = 2x
Width of the rectangle = y
Area of a rectangle is
Substitute the value of y from the given equation.
.... (1)
Differentiate with respect to x.
Equate , to find the critical points.
Divide both sides by 6.
The value of x can not be negative because side length can not be negative.
Substitute x=3 in equation (1).
The area of the largest rectangle is 108 square units.
Therefore, the correct option is B.