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2 years ago

Find the distance between the points (0,-1) and (0,–11).

Mathematics

1 answer:

Yakvenalex [24]2 years ago

3 0

Answer:

Step-by-step explanation:

The formula is

the square root of y1-y2 +x1-x2 (square root of everithing)

(-11)-(-1) + 0-0

(-11) - (-1) = -11 +1 = -10 0-0 = 0

The quare root of 10 squared is 10

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What are the coordinates of the vertex of the parabola described by the equation below? y=7(x+5)^2-4

Ipatiy [6.2K]

Answer:

$y= 7(x+5)^2 -4$

The vertex form for a parabola is given by this expression:

$y = a(x-h)^2 +k$

By direct comparison we see that for this case:

$a = 7, h = -5 and k=-4$

And we know from the general expression that the vertex is:

$V= (h,k)$

So then the vertex for this case is:

$V= (-5,-4)$

Step-by-step explanation:

For this case we have the following function:

$y= 7(x+5)^2 -4$

And we need to take in count that the vertex form for a parabola is given by this expression:

$y = a(x-h)^2 +k$

By direct comparison we see that for this case:

$a = 7, h = -5 and k=-4$

And we know from the general expression that the vertex is:

$V= (h,k)$

So then the vertex for this case is:

$V= (-5,-4)$

4 0

2 years ago

To find a reciprocal of a fraction, switch the numerator and denominator.

Aleks [24]

The reciprocal of -1/3 is -3/1
and the reciprocal of 4/1 is 1/4

6 0

3 years ago

PLEASE HELP!!! A) B) C) D)

Vlad1618 [11]

Answer:

b i think

Step-by-step explanation:

4 0

2 years ago

Write 10 5/12 as an equevilent improper fraction

dexar [7]

10 5/12 can be turned into a improper fraction by multiplying 10 and 12. You get 120. Then you can add 5 and get 125/12.

THE ANSWER IS 125/12!

5 0

3 years ago

Read 2 more answers

6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface

Pachacha [2.7K]

Answer:

6) About 19,244.75 square centimeters.

7) About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

$\displaystyle \text{SA}=2\pi r^2+ 2\pi rh$

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

$\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2$

Then the total surface area for 200 cylinders will be:

$\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2$

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

$\displaystyle V=\pi r^2h$

Since r = 1.2 and h = 6.4:

$\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3$

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

$\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3$

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

$\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895$

Thus, approximately 4895 containers can be filled.

5 0

2 years ago

Read 2 more answers