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3 years ago

A line passes through the points (4, 19) and (9, 24). Write A linear function in the form Y equals MX plus be for this line.

Mathematics

1 answer:

avanturin [10]3 years ago

3 0

Answer:

y = x + 15

Step-by-step explanation:

okay so you're gonna use the y2-y1/x2-x1 formula to find the slope (m)

24 - 19/9 - 4 = 5/5 = 1

so that is your slope (m)

and now if you follow your slope then you should get your y-intercept (b)

4 - 1 = 3 19 - 1 = 18

(3, 18)

3 - 1 = 2 18 - 1 = 17

(2, 17)

2 - 1 = 1 17 - 1 = 16

(1, 16)

1 - 1 = 0 16 - 1 = 15

(0, 15)

so thats your y-intercept (b)

and the equation will look like:

y = mx + b y = x + 15 or y = 1x + 15 (but the 1 isn't necessary)

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The volume of a sphere can be described by the following formula, where V = volume and r = radius of the sphere.

Anika [276]

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Step-by-step explanation:

Given formula for volume of a sphere is:

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

We have to make r the subject of the formula

Multiplying equation by 3/4

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

Dividing both sides by pi

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

Taking cube root on both sides

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

Hence,

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Keywords: Volume, Sphere

Learn more about volume at:

#LearnwithBrainly

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3 years ago

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Veronika [31]

Answer:

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Step-by-step explanation:

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3 years ago

What is the solution to 4 x + 6 less-than-or-equal-to 18?

Dimas [21]

Im pretty sure its x less-than-or-equal-to 3

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3 years ago

Simplify the expression.<br> 11z - 11z

Yuliya22 [10]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. Hint: Use the Pythagorean T

Paul [167]

The distance between two points on the plane is given by the formula below

$\begin{gathered} A=(x_1,y_1),B=(x_2,y_2) \\ \Rightarrow d(A,B)=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2} \end{gathered}$

Therefore, in our case,

$A=(-1,-3),B=(5,2)$

Thus,

$\begin{gathered} \Rightarrow d(A,B)=\sqrt[]{(-1-5)^2+(-3-2)^2}=\sqrt[]{6^2+5^2}=\sqrt[]{36+25}=\sqrt[]{61} \\ \Rightarrow d(A,B)=\sqrt[]{61} \end{gathered}$

Therefore, the answer is sqrt(61)

In general,

$-(-n)=n$

Remember that

$-n=(-1)\cdot n$

Therefore,

$\begin{gathered} a-(-n)=a+(-1)(-n)=a+(-1)(-1\cdot n)=a+(-1)^2\cdot n=a+1\cdot n=a+n \\ \Rightarrow a-(-n)=a+n \end{gathered}$

6 0

1 year ago