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3 years ago

11. 5x – 3y = 6 Contains the point (10,-6)

Mathematics

1 answer:

omeli [17]3 years ago

6 0

No solution not sure if I’m right

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Yes. there is a fixed cost and variable cost.

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3 years ago

Find the gradients of lines A and B.

Tanya [424]

Let's see

For line A

(2,2)
(3,6)

Slope

m=6-2/3-2
m=4/1
m=4

For line B

(1,6)
(2,4)

Slope

m=4-6/2-1
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2 years ago

A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.

Tanzania [10]

Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.

Step-by-step explanation:

The volume of a cone can be calculated with this formula:

$V=\frac{\pi r^2h}{3}$

Where "r" is the radius and "h" is the height.

We know that the radius is half the diameter. Then:

$r=\frac{12cm}{2}=6cm$

We know the volume and the radius of the conical container, then we can find "h":

$120\pi cm^3=\frac{\pi (6cm)^2h}{3}\\\\(3)(120\pi cm^3)=\pi (6cm)^2h\\\\h=\frac{3(120\pi cm^3)}{\pi (6cm)^2}\\\\h=10cm$

The diameter and height doubled are:

$d=12cm*2=24cm\\h=10cm*2=20cm$

Now the radius is:

$r=\frac{24cm}{2}=12cm$

And the container capacity is

$V=\frac{\pi (12cm)^2(20cm)}{3}=960\pi cm^3$

Then, to compare the capacities, we can divide this new capacity by the original:

$\frac{960\pi cm^3}{120\pi cm^3}=8$

Therefore, the container's capacity would be 8 times its original capacity.

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3 years ago

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Find the circumference of a circular window if the area is 100pi sq units

padilas [110]

20pi sq units
.............

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3 years ago

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PLEASE HELP!! Due very soon!! 10 points! Which of the following functions, when graphed, would have a constant rate of change an

AVprozaik [17]

Answer:

Step-by-step explanation:

only solution C and D are linear function, and they are essentially straight lines. However, C have a x intercept of 5/2, so we rule out option C.

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3 years ago