Answer:
5
Step-by-step explanation:
The degree is just the number with the highest power. In this case, it is 3^5. Therefore, 5 is the degree.
If this helps please mark as brainliest
I think this is y = 2/1x+1
Answer:
336.8 cubic meter or 336.8m³
Step-by-step explanation:
In other to solve the above question we would be using the volume of a square based pyramid.
The formula for the volume of a square based pyramid is
1/3a²h
In the above question we are given the following values as:
Side length of the base = a = 11.1 m
Height of the pyramid = h = 8.2m
Volume of the square based pyramid = 1/3 × 11.1² × 8.2
= 336.774 cubic meter or 336.774 m³
Approximately to the nearest tenth = 336.8 cubic meter or 336.8m³
Question asked: if a number has an absolute value equal to 9,that number could be ____?
My answer: it would be C. -9 or 9
<span>The two points that are most distant from (-1,0) are
exactly (1/3, 4sqrt(2)/3) and (1/3, -4sqrt(2)/3)
approximately (0.3333333, 1.885618) and (0.3333333, -1.885618)
Rewriting to express Y as a function of X, we get
4x^2 + y^2 = 4
y^2 = 4 - 4x^2
y = +/- sqrt(4 - 4x^2)
So that indicates that the range of values for X is -1 to 1.
Also the range of values for Y is from -2 to 2.
Additionally, the ellipse is centered upon the origin and is symmetrical to both the X and Y axis.
So let's just look at the positive Y values and upon finding the maximum distance, simply reflect that point across the X axis. So
y = sqrt(4-4x^2)
distance is
sqrt((x + 1)^2 + sqrt(4-4x^2)^2)
=sqrt(x^2 + 2x + 1 + 4 - 4x^2)
=sqrt(-3x^2 + 2x + 5)
And to simplify things, the maximum distance will also have the maximum squared distance, so square the equation, giving
-3x^2 + 2x + 5
Now the maximum will happen where the first derivative is equal to 0, so calculate the first derivative.
d = -3x^2 + 2x + 5
d' = -6x + 2
And set d' to 0 and solve for x, so
0 = -6x + 2
-2 = -6x
1/3 = x
So the furthest point will be where X = 1/3. Calculate those points using (1) above.
y = +/- sqrt(4 - 4x^2)
y = +/- sqrt(4 - 4(1/3)^2)
y = +/- sqrt(4 - 4(1/9))
y = +/- sqrt(4 - 4/9)
y = +/- sqrt(3 5/9)
y = +/- sqrt(32)/sqrt(9)
y = +/- 4sqrt(2)/3
y is approximately +/- 1.885618</span>
