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8 months ago

I need this done asap because this Is a test.

Mathematics

1 answer:

RUDIKE [14]8 months ago

5 0

The line's y-intercept is -3 as per the information given in the table.

<h3>What is meant by slope?</h3>

The slope or gradient of a line is a numerical representation of a line's steepness and direction in mathematics. The reason for this usage is unknown, but it first appears in English in O'Brien (1844), who wrote the equation for a straight line as y = mx + b, and in Todhunter (1888), who wrote it as y = mx + c. In this case, m stands for the line's slope.

Slope is the result of calculating the ratio of vertical change to horizontal change between (any) two distinct points on a line.

We know that,

y=m x +c

From the table the points are,

A(-2,5)

B(-1,1)

C(0,-3)

D(1,-7)

Substituting the C point in the above equation we get,

-3=m(0)+c

c=-3

Consequently, the line's y-intercept is -3.

To know more about slope, visit:

brainly.com/question/3605446

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Which of the following can be used to calculate the volume of water inside the fish bowl?

Lunna [17]

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$V=\frac{4}{3}\pi r^3$

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Now we must find the radius of our sphere, the segment AB is the diameter of the sphere, and the radius is half od the diameter, then

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Let's put it into our equation

$\begin{gathered} V^{\prime}=\frac{1}{2}\left(\frac{4}{3}\right)(\pi)(r)^3 \\ \\ V^{\prime}=\frac{1}{2}\left(\frac{4}{3}\right)(\pi)(6)^3 \end{gathered}$

The problem says to use

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Then

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Final answer:

The formula that can be used to calculate the volume of water inside the fish bowl is

$V=\frac{1}{2}\left(\frac{4}{3}\right)\left(\frac{22}{7}\right)(6)^3$

8 0

1 year ago

Find the equation of a line that is perpendicular to 4x+6y=1 that has a greater y intercept compared to 2x+3y=18

Marina86 [1]

Answer:

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Step-by-step explanation:

The general equation of a straight line is y = mx + b

m is the slope and b is the y-intercept

let us write both equations in this form;

we have this as;

6y = -4x + 1

y = -4x/6 + 1/6

and;

2x + 3y = 18

3y = -2x + 18

y = -2x/3 + 6

So firstly we want to find an equation that is perpendicular to the first

When two lines are perpendicular, their slopes has a product of -1

The slope of the first line is -4/6

let the slope of the line we want be m

As per they are perpendicular;

-4/6 * m = -1

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m = 6/4

So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6

we can choose 10

and we have the equation as:

y = 6x/4 + 10

multiply through by 4

4y = 6x + 40

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