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3 years ago

Write the following equation in slope- intercept form 6x+2y=20

Mathematics

2 answers:

lorasvet [3.4K]3 years ago

3 0

Answer:

y = -3x + 10

Step-by-step explanation:

6x+2y=20

First, you want to subtract 6x from both sides.

2y=-6x+20

Now, you want to divide by 2 on both sides because you want to get y by itself.

y = -3x + 10

natta225 [31]3 years ago

3 0

Answer:

Y = -3x + 10

Step-by-step explanation:

Subtract the 6x from both sides to get y by itself

You would have 2y=-6x+20

Divide everything by 2 for the correct formula format

You would have y=-3x+10

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The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

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

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

Read 2 more answers

Pls answer correctly I’ll give you brainliest

Montano1993 [528]

The answer is 0, as there is no slope going up or down.

6 0

3 years ago

Find the value of y round your answer to the nearest tenth cos y y=8/13

Iteru [2.4K]

8/13 = 0.6153

y = cos-1(0.6153)

y = 52.0

I'm not totally sure if this is what you mean or if this is.

y = cos(8/13) = 0.9999 which to the nearest tenth is 1.0

7 0

4 years ago

Read 2 more answers

What is the solution to the system of equations graphed below

madreJ [45]

$\underline{+\left\{\begin{array}{ccc}y=-x-1\\y=x+1\end{array}\right}\ \ \ \ |\text{add both sides}\\\\.\ \ \ \ \ 2y=0\ \ \ |:2\\.\ \ \ \ \ y=0\\\\\text{substitute the value of y to the second equation}\\\\0=x+1\ \ \ \ |-1\\x=-1\\\\Answer:\ A.\ (-1,\ 0)$

8 0

3 years ago

If two events a and b are independent and you know that p(a) = 0.65, what is the value of p(a | b)?

Ksivusya [100]

Let's think of an example which would better help visualize this situation.

1) Someone exercises a lot so they can concentrate more on their homework (here running and concentration on homework are dependent events)

2) Someone exercises a lot because they wear a blue t-shirt (here, you can clearly see that wearing a blue shirt and exercising are not related. These events are independent).

Now concentrating on P(a | b) = Probability a occurred if b occurred.

It does not matter if b occurred (just like it didn't matter that the person wore a blue shirt which meant that they exercised) for the outcome a to occur.

Therefore, probability of P(a | b) = P(a)

P(a | b) = 0.65

Hope I helped :)

5 0

3 years ago