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Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

5 0

If it’s asking for Volume then the answer is 226.19.
If it’s surface area then it would be 207.35

jasenka [17]3 years ago

3 0

Answer:

$Volume \\ =π {r}^{2} h \\ =π· {3}^{2} ·8 \\ ≈226.19$

$surface \: \: \: area = 2πrh+2π {r}^{2} \\ =2·π·3·8+2·π· {3}^{2} \\ ≈207.34$

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Hey how do you get from standard form to vertex form?

vlabodo [156]

Explanation:

Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.

Assume the quadratic equation to be $\mathbf{ax^{2}+bx+c=0}$ where x is the variable.

Completing the square method is as follows:

send the constant term to other side of equal $\mathbf{ax^{2}+bx=-c}$
divide the whole equation be coefficient of $\mathbf{x^{2}}$ , this will give $\mathbf{x^{2}+\frac{b}{a}x=- \frac{c}{a}}$
add $\mathbf{(\frac{b}{2a})^{2}}$ to both side of equality $\mathbf{x^{2}+2\times\frac{b}{2a}x+\frac{b}{2a}^{2}=-\frac{c}{a}+\frac{b}{2a}^{2}}$
Make one fraction on the right side and compress the expression on the left side $\mathbf{(x+\frac{b}{2a})^{2}=\frac{b^{2}-4ac}{4a^{2}}}$
rearrange the terms will give the vertex form of standard quadratic equation $\mathbf{a(x+\frac{b}{2a})^{2}-\frac{b^{2}-4ac}{4a}=0}$

Follow the above procedure will give the vertex form.

(NOTE : you must know that $\mathbf{(x+a)^{2}=x^{2}+2ax+a^{2}}$ . Use this equation in transforming the equation from step 3 to step 4)

8 0

3 years ago

Triangle ABC was rotated about the origin. Which rule

Nuetrik [128]

<h3>Answer: Choice A $R_0, 90^{\circ}$ </h3>

The R stands for "rotation". The "O" as a small subscript means "origin" which is where the x and y axis cross. The 90 degrees means we rotate 90 degrees counterclockwise. This is equivalent to 270 degrees clockwise, but writing $R_0, 270^{\circ}$ is not correct as we don't rotate 270 degrees counterclockwise.