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3 years ago

What is the distance between (2,1) and (1,4)

Mathematics

2 answers:

kotykmax [81]3 years ago

6 0

The answer is square root of 10. :)

ser-zykov [4K]3 years ago

5 0

$\sqrt{10}$ about 3.16227766

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Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is parallel to line m?

Oksi-84 [34.3K]

Gradient=rise/run=y2-y1/x2-x1

= 7-3(4)/-4--4(0)

As you can't divide by zero the line's equation is x=-4 so it doesn't have a gradient as such. However, a parallel line would be the y-axis

3 0

3 years ago

Read 2 more answers

911!!! please answer this!!!

VikaD [51]

$\left(\dfrac{3a^{-3}b^2}{2a^{-1}b^0}\right)^2$

First some simplifying:

$\left(\dfrac{3a^1b^2}{2a^3b^0}\right)^2=\left(\dfrac{3b^2}{2a^2}\right)^2=\dfrac{9b^4}{4a^4}$

Then with $a=-2$ and $b=-3$ , we have $a^4=(-2)^4=16=4^2$ and $b^4=(-3)^4=81=9^2$ , so

$\dfrac{9b^4}{4a^4}=\dfrac{9\cdot9^2}{4\cdot4^2}=\dfrac{9^3}{4^3}=\dfrac{729}{64}$

7 0

3 years ago

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A linear function has a slope of 2 and passes through the point (0,6). What is the equation of the line?

pychu [463]

A linear function means you’re working with a line. Lines can be stated in slope-intercept form: y=mx+b.

To make it a linear function, you simply replace “y” with “f(x)” notation: f(x) = mx + b

The information you gave told you m=2 and b=6, since (0,b) is the y-intercept.

Putting that all together you have:
f(x) = 2x + 6

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3 years ago

Which expression is equivalent to (3x+4)(7x-2)

Cerrena [4.2K]

Answer:

21x² + 22x - 8

Step-by-step explanation:

(3x+4)(7x-2) = 21x² - 6x + 28x - 8 = 21x² + 22x - 8

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3 years ago

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In how many ways can the 19 members of a chess club fill the offices of King, Knight, Bishop, and Rook?

goldfiish [28.3K]

Solution:

This problem is a permutation because the order matters here. This means that choosing A as King, B as Knight, C as Bishop and D as Rook results in a different arrangement from B as King, A as Knight, D as Bishop and C as Rook. We would count them both because in the first case A is King, but in the second case A is Knight.

Therefore, the possible number of ways are given below:

$19P4=\frac{19!}{(19-4)!} =\frac{19 \times 18 \times 17 \times 16 \times 15!}{15!} =19 \times 18 \times 17 \times 16 =93024$

Hence there will be 93024 ways 19 members of a chess club fill the offices of King, Knight, Bishop, and Rook.

3 0

3 years ago