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wolverine [178]
3 years ago
6

solve this system of linear equations. separate the x- and y-values with a comma -2x = 10 -6y, 20x = 62 +6y

Mathematics
1 answer:
PIT_PIT [208]3 years ago
7 0
A graph shows the solution is (x, y) = (4, 3).

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Describe the relationship between the two quantities. volume of a cylinder; height
Temka [501]

The volume of a  given cylinder is directly proportional to its height.

When determining the volume of a cylinder, we take;

=   Base Area(BA) of the cylinder * Height of the cylinder

This automatically proves that when the BA and Height of a particular cylinder is high, the results of its volume is also high.

<em>From the above statement, it is very correct to state that the </em><em>Height of a cylinder</em><em> is directly proportional to the </em><em>volume of a cylinder.</em>

<em></em>

It is also correct to state that the BA of a cylinder is directly proportional to the volume.

<u>Consider the image of the cylinder attached.</u>

Assuming we were to calculate the volume of water from different heights of the cylinder, for example;

Height1= 15 cm

Height2=10 cm

Radius=9 cm

V= \pi R^{2} * H

The volume of the different heights will be;

Height1=  \pi *  9^{2} * 15= 3, 818. 57 cm^{2}

Height2=  \pi *  9^{2} * 10= 2, 545. 71 cm^{2}

Hence the bigger height will result to bigger volume.

To find more on volume of cylinder, look into:

brainly.com/question/6204273

#SPJ4      

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1 year ago
Help it’s algebra 2!! asap plzz
Ostrovityanka [42]
(x+3)(x-1/4)=x^2+11/4-3/4
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Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?
Marysya12 [62]

Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

y = mx+b

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

y = mx+b

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

7 0
3 years ago
Find the area of this semi-circle with radius, r = 66cm. Give your answer rounded to 1 DP.​
Darya [45]

Answer:

414.857143

Step-by-step explanation:

r=66

=2*66*22/7

=414.857143

4 0
2 years ago
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