First find the volume of the cylinder.
The formula is: V=πr²h
Plug the numbers in the figure into the formula.
V=πr²h
V=π×3²×10
V=π×9×10
V=π90
V=282.743
Therefore, the volume of the cylinder is approximately 282.7in³
Find the volume of the rectangluar prism.
V=lwh
V=12×7×4
V=84×4
V=336
Therefore, the volume of the rectangular prism is 336in³
Add the volumes:
282.7+336=618.7
The volume of the composite solid is approximately 618.7in^3
Answer:
- f(4) = -3
- x=-6 or x=0 for f(x)=1
Step-by-step explanation:
A. Find the point on the x-axis marked with a 4. Follow the vertical line down until it meets the blue line of the graph. At that point, follow the horizontal line to the left until it meets the y-axis at -3. This tells you ...
f(4) = -3
__
B. Find the point on the y-axis marked with a 1. Then find the x-values corresponding to the places where the horizontal line at y=1 intersects the blue curve. There are two of them: one at x=-6, another at x=0.
f(x) = 1 for x = -6 and x = 0
Answer:
<em><u>EG</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>6</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em>
<em><u>Keep</u></em><em><u> </u></em><em><u>learning</u></em><em><u>!</u></em>
By solving a system of equations, we will see that matrix X is:
<h3>
How to find matrix X?</h3>
X will be a matrix, let's define:
Replacing that in the given equation we will get a system of equations:
9*x₁₁ + 4*x₂₁ = -9
2*x₁₁ + 1*x₂₁ = -1
9*x₂₁ + 4*x₂₂ = -6
2*x₂₁ + 1*x₂₂ = -8
We just need to solve that system of equations.
Using the second one we can write:
2*x₁₁ + 1*x₂₁ = -1
x₂₁ = -1 - 2x₁₁
Now we can replace that in the first equation:
9*x₁₁ + 4*x₂₁ = -9
9*x₁₁ + 4*(-1 - 2x₁₁ ) = -9
9*x₁₁ - 8*x₁₁ - 4 = -9
x₁₁ = -9 + 4 = -5
Then:
x₂₁ = -1 - 2x₁₁ = -1 - 2*(-5) = -1 + 10 = 9
So we just found the first two values of the matrix, now let's find the other two.
Using the other two eqations:
9*x₂₁ + 4*x₂₂ = -6
2*x₂₁ + 1*x₂₂ = -8
We rewrite the second as:
x₂₂ = -8 - 2x₂₁
And replace that in the other one:
9*x₂₁ + 4*(-8 - 2x₂₁) = -6
x₂₁ - 32 = -6
x₂₁ = -6 + 32 = 26
Then:
x₂₂ = -8 - 2x₂₁ = -8 - 2*26 = -60
Then our matrix is:
Learn more about systems of equations:
brainly.com/question/13729904
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Answer:
-8i+4i^2
Step-by-step explanation:
You do distributive property(multiply -4i on the inside on the parantesis) and you get the answer. Eres muy bruto!!!!!!! fue un chiste:)