Answer:
Distance D = √ [(2 - x)^2 + (3 - 4x^3)^2].
Step-by-step explanation:
Use the distance formula:
D = √[(x2 - x1)^2 + (y2 - y1)^2].
So here it is
D = √[(2 - x)^2 + (4 - y)^2] where x,y is any point on the curve.
D = √[2 - x)^2 + (4 - (4x^3 + 1))^2]
D = √ [(2 - x)^2 + (3 - 4x^3)^2]
A right triangle can be found by using 1/2bh but since there are two right triangles forming one triangle, you can do the base * height and get the answer of the entire triangle.
For the trapezoid, you will need to do the same thing and split it into another right triangle (there should be one on each end) and then find the area of the square in the center of them by calculating height * width - base of both triangles
Answer: radius = 10 cm.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder = π r² h
Where:
r = radius
h = height
Replacing with the values given:
3768 =π r² 12
Solving for r
3768/ (12π) = r²
99.95 = r²
√99.95 = r
r = 9.99 ≅ 10 cm (rounded)
Feel free to ask for more if needed or if you did not understand something.
Answer:
-1
Step-by-step explanation:
The attached result from a graphing calculator shows the other root to be ...
x = -1
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The "system of equations" consists of one equation for the left side function, and one equation for the right side function. The graphs of the two equations intersect at the point where the left and right parts of the given equation are equal to each other. The graphs intersect at x=-1.
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<em>Additional comment</em>
We prefer to subtract one side of the equation from the other, so we have a single function whose value is 0 at the root of interest. Here, that would be ...
(x^3 +x^2) -(-9x -9) = 0
x^2 +x^2 +9x +9 = 0
We would graph y = x^3 +x^2 +9x +9 and have the graphing calculator identify the x-intercept. This is shown in the second attachment. No "system of equations" is required for this.
