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3 years ago

What is the volume of this sphere?

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

8 0

Answer:

volume of sphere=4/3πr³=4/3×3.14×6²=164.16cm³

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Writing to Learn x- and y-intercepts

riadik2000 [5.3K]

The x and y intercepts of a line are when $y=0$ and $x=0$ respectively.

c and d are the x and y intercepts because they represent C/A and B/A in the standard linear equation

The x and the y intercepts are related to c and d because they represent the values of the equation when y and x equals 0 respectively.

The given equation is:

$\frac xc + \frac yd = 1$

(1) Why c and d are the intercepts

We have:

$\frac xc + \frac yd = 1$

Multiply through by cd

$cd \times \frac xc + cd \times \frac yd = cd \times1$

$dx + cy = cd$

A linear equation is represented as:

$Ax + By = C$

Where:

$\frac CA \to$ x intercept

$\frac BA \to$ y intercept

So, by comparing $Ax + By = C$ to $dx + cy = cd$

$\frac CA \to d \to$ The x-intercept

$\frac CB \to c \to$ The y-intercept

(b) How the intercepts are related to c and d?

In (a) above, we have:

$\frac CA \to d \to$ The x-intercept

$\frac CB \to c \to$ The y-intercept

When $x = 0$

We have:

$dx + cy = cd$

$d \times 0 + cy = cd$

$cy = cd$

Divide by c

$y = d$ ---- the y-intercept

When $y = 0$

We have:

$dx + cy = cd$

$dx + c \times 0 = cd$

$dx = cd$

Divide by d

$x =d$ ---- the x-intercept

Read more about intercepts at:

brainly.com/question/13593488

7 0

3 years ago

System :substitution Y=x+9 3x+8y=-5

OlgaM077 [116]

3x + 8(x + 9) = -5
3x + 8x + 72 = -5
11x + 72 = -5
11x + 72 - 72 = -5 - 72
11x = -77
11x/11 = -77/11
x = -7

All you have to do for this equation is to substitute the y in the second equation with what y equals to. Then you distribute and combine like-terms.

7 0

3 years ago

Read 2 more answers

Felix said quadrilateral ABCD is a parallelogram because BE = DE. What was his error?

Kamila [148]

Answer:

There is no angle E in the quadilateral presented in the question. Also, the angles he used are not on opposite side.

Step-by-step explanation:

To classify a quadrilateral is a parallelogram, a quadrilateral with both pairs of opposite sides must be parallel or congruent, that is in a quadrilateral ABCD, angle AB must equal CD and angle AD must equal BC.

Hence, when Felix said quadrilateral ABCD is a parallelogram because of BE = DE. His error was that "there is no angle E in the quadrilateral presented in the question and the angle he used are not on opposite side"

7 0

3 years ago

Gina wants to reduce her expenses so she can balance her budget. Which variable expense can Gina easily adjust? A. house payment

irakobra [83]

D. new clothes

Gina can reduce her expenses on new clothes, as, though clothes are necessary, more expensive clothes is usually not, and she can reduce the amount she spends on clothes

hope this helps

4 0

4 years ago

Suppose f(x) = x^3 + 1. Find the graph of f(2x).

svp [43]

Step-by-step explanation:

I am sorry. I just typed the equation into my calculator app. Refer to the attached image above to make a deduction.

5 0

3 years ago

Read 2 more answers