To obtain the equation for an elliptical region, we divide the boundary curve equation by 36, which gives us:
<span>[9x^2 + 4y^2 = 36] / 36
(x^2)/4 + (y^2)/9 = 1
Since the given cross-sections are isosceles right triangles, the hypotenuse is found on the base. Using trigonometric functions, the hypotenuse is found to be 6 * sqrt(1 - (x^2)/4). The cross-sectional area is then found to be 9 (1 - (x^2)/4).
With the cross-section, we integrate it with limits of -2 to 2 in terms of x to find the volume. This is shown below:
</span><span>
∫ </span>9 (1 - (x^2)/4<span>) dx (-2,2) = 24
Therefore, the volume is 24 units^3.</span>
Answer:
A'=(4,-8)
B'=(4,12)
C'=(-12, -12)
Step-by-step explanation:
Ad 3 to the location you are heading remember first is x then y so (x, y)
X is always left and right
Y is always up or down
Answer:
3/2
Step-by-step explanation:
In order to find the slope with two points, you use this formula:
y2-y1 / x2 - x1.
y2 is 5 and y1 is -4. 5 - -4 = 9
x2 is 2 and x1 is -4. 2 - - 4 = 6
9/6 = 3/2.
Answer:
8
Step-by-step explanation:
4x2=4+4=8. hope u understood
Answer:
<em>Explanation below</em>
Step-by-step explanation:
<u>First Degree Equations</u>
A first-degree equation can have one, none, or infinitely many solutions.
An equation like
2x + 3 = -x + 6
Has one solution: x=1
An equation like:
4x + 2 = 4x + 1
Has no solutions because when trying to solve for x we get:
2 = 1
This equality is false and no value of x can make it true
Finally, the equation:
3x + 2 = x + 2x + 2
Has infiniteyl many solutions, because when trying to solve it, we get:
2 = 2
Which is true regardless of the value of x
- The first given equation:
3x + 9 + 4x + x = ??
can be simplified as:
8x + 9 = ??
For this equation not having solutions, we should have 8x plus any number but 9 on the right side of the equation:
8x + 9 = 8x -3, or
8x + 9 = 8x + 4
- The second given equation:
3x + 9 + 4x + x = ??
can be simplified as:
8x + 9 = ??
If the equation has one solution, the only condition is that we should not have 8x on the right side. Thus any of those will do:
8x + 9 = 3x + 9
8x + 9 = -x + 5
8x + 9 = 0
3x + 9 + 4x + x = ??
can be simplified as:
8x + 9 = ??
For this equation to have infinitely many solutions, the right side must be exactly equal to the left side:
8x + 9 = 8x + 9