Well, firstly, that equations seems a bit strange. Let's use an equation I know a bit better: a^2 + b^2 = c^2. To clarify, '^2' means 'to the power of 2'. In this equation, 'c' represents the hypotenuse or the longest side of the angle. It is the only side that is diagonal. In this equation, we are given both the height and the length with the height being either 'a' or 'b' and the length being represented by 'c'. Using our formula, we would get this: 16^2 + b^2 = 20^2. To solve for 'b' which is representing our width, we would subtract '16^2' from both sides like so: b^2 = 20^2 - 16^2. From here, solve to get this: b^2 = 144. From here, square root both sides to get b = 12 or width = 12. Plug in your unit of measurement, feet (ft), and you have your answer!
When you have a function that is in the form of (f(x))^n, the derivative of the function will have the formula:
n * (f(x))^(n-1) * f'(x)
The given function is:
y = (3x+x^2) ^ 5
Based on the above, the derivative with respect to x would be:
5 * (3x+x^2)^(5-1) * f'(3x+x^2)
This would give a result of:
5 * (3x+x^2)^4 * (3+2x)
Comparing the calculated derivative with the given choices, the right choice would be:
B. 5 * (3x+x^2)^4 * (3+2x)
Answer:
Dawson runs 3.168 more miles than jay.
Step-by-step explanation:
Simple 1 step.
1. Subtract Dawson's miles ran ( 9 miles ) by Jay's ( 5.832 ) which would lead to getting the answer of 3.168.
Hope this helped.
either
-(3x+3)-2x (less than) -4(x-2)-2
-3x+3-2x (less than) -4x +8-2
-5x+3 (less than)-4x+6
Or if you need it simplified
-5x +3 (less than) -4x+6
+4x 4x
-x+3 (less than) 6
-3 -3
-x(less than) 3
(-x/-1) Less than (3/-1)
x (less than) -3
(didnt have the less than greater than sign so typed it)
Answer:
6√24 or 29.39metres
Step-by-step explanation:
Area of a triangle is bh/2
The perimeter of an equilateral triangle is 3b
This equilateral triangle can be imagined as two adjoining 30-60-90 triangles. Together, their area is the given 24√3 m²
The base of the individual triangle is √24. The height is √24√3. <em>Multiplying</em><em> </em><em>those</em><em> </em><em>factors</em><em>,</em><em> </em><em>we </em><em>get</em><em> </em><em>the </em><em>given</em><em> </em><em>area,</em><em> </em><em>a </em><em>proof</em><em> </em><em>of </em><em>sorts,</em><em> </em><em>but </em><em>mure </em><em>importantly</em><em>,</em><em><u> </u></em><em><u>we </u></em><em><u>can </u></em><em><u>calculate</u></em><em><u> </u></em><em><u>the </u></em><em><u>length</u></em><em><u> of</u></em><em><u> </u></em><em><u>the </u></em><em><u>hypotenuse</u></em><em><u> </u></em><em><u>as </u></em><em><u>2</u></em><em><u>√</u></em><em><u>2</u></em><em><u>4</u></em><em><u>.</u></em>
sin(30°) = 0.5
√24/(0.5) = 2√24
That is the length of the side of the original equilateral triangle.
The perimeter is 3 times the length of the side:
(3)(2√24) = P
6√24 meters is the perimeter.