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4 years ago

What is the expression for 3 less than 3 times a muber k

Mathematics

1 answer:

Art [367]4 years ago

4 0

Answer:

3 < 3k

Step-by-step explanation:

less than = <

3 times a number k = 3k

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4 years ago

Decide whether the pair of lines is parallel, perpendicular, or neither. 3x-6y=2 and 18x+9y=8

Ray Of Light [21]

Answer: perpendicular

Step-by-step explanation:

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3 years ago

CEL

Yakvenalex [24]

Answer:

y = 2x

Step-by-step explanation:

There is a proportional relation between the number of pairs of socks that Jason buys,x, and the total cost (in dollars), y.

Let us assume that the relation is y = kx ..... (1)

{Where k can be assumed to be the constant of proportionality}

Now, given that Jason can buy 2 pairs of socks for $4.

So, from equation (1), we can write 4 = 2k, ⇒ k = 2

Therefore, the equation (1) becomes y = 2x. (Answer)

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3 years ago

If you plot and connect these points P1(3,2) and P2(6,8) , what figure is Formed? What is the Direction?

Sergio [31]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the points

P1(3, 2)

P2(6, 8)

When we plot P1(3, 2) and P2(6, 8), we determine the line segment P1P2.

The direction of the segment is from P1 to P2.

Determining the length of the segment P1P2.

$\:l=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(6-3\right)^2+\left(8-2\right)^2}$

$=\sqrt{3^2+6^2}$

$=\sqrt{45}$

$=\sqrt{5}\sqrt{3^2}$

$=3\sqrt{5}$

Thus, the length of the segment is:

$\:\:\:l=3\sqrt{5}$

Determining the equation of a line containing the segment P1P2

Given the points

P1(3, 2)

P2(6, 8)

Finding the slope between P1(3, 2) and P2(6, 8)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(3,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:8\right)$

$m=\frac{8-2}{6-3}$

$m=2$

Using the line point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (3, 2)

$y-2=2\left(x-3\right)$

Add 2 to both sides

$y-2+2=2\left(x-3\right)+2$

$y=2x-4$

Thus, the equation of a line containing the line segment P1P2 is:

$y=2x-4$

8 0

3 years ago

Keiko paid $21 for a jacket.The jacket is on sale for 30% of the original price.What wa the original price of the jacket?

Virty [35]

30/100=3/10
3 divided by 21 = 7
7*10 = 70!

The anwser is $70 I hoped that helped :3

6 0

3 years ago

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