Answer:
10√3/3
Step-by-step explanation:
To get x we will use the SOH CAAH TOA trigonometry identity
Given
Angle = 60 degrees
Hypotenuse = x
Opposite = 5
Sin theta = opposite/hypotenuse
Sin 60 = 5/x
x = 5/sin 60
x = 5/(√3/2)
x = 5 * 2/√3
x = 10/√3
Rationalize
x = 10/√3 * √3/√3
x = 10√3/3
hence the length of the side x in simplest radical form is 10√3/3
Answer:
The height of the trapezoid would be 4 ft.
If you solve this equation,
2*26/5+8 ,
you'll get the answer.
First do the multiplication, then the subtraction, and finally the division.
(3a-7)^2
1. 9a^2-21a-21a+49
2. 3a(3a-7)-7(3a-7)
3. (3a-7)(3a-7)
4. Combine like terms
Answer:
Step-by-step explanation:
= 1 - 1
= 0
The derivative of a function, found by using the power rule, is a graph with roots (x-intercepts) that are the same as the x-coordinates of the turning points of the said function;
This means that since the graph f(x) in the question shows us that the x-coordinates of the two turning points (A and B) are -2 and 6, we can determine that:
f'(x) = n(x + 2)(x - 6)
because if this was set to 0, the solutions would be x = -2 and x = 6;
The variable n represents the constant that could very well be 1 but we cannot assume so because of the limited information given;
This variable n would not change the solutions, but it will different for two functions that are the same in almost every respect (i.e. they will have the same x-coordinates of their turning points and roots) except that one is more vertically stretched than the other.
In any case, all you need to worry about for this question is drawing a u-shaped curve that crosses the x-axis at -2 and 6;
Don't worry about where it crosses the y-axis or how low it dips, just make all these things moderate as they cannot be deduced from the information given;
Its lowest point will be at x = 2 as the curve should be symmetric so just make sure the bottom of the curve is around that point.
Hope this helps.