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2 years ago

15

There are 5 boys and 4 girls in my class. All of them are distinguishable. In how many ways can they be seated in a row of 9 cha

irs such that at least 3 girls are all next to each other?

1 answer:

GalinKa [24]2 years ago

8 0

There are 16 ways to arrange the row so that at least 3 girls always sit next to each other.

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4. True or false: Lines, colors, and textures are often used to create shapes.

ioda

Answer:

true!

Step-by-step explanation:

because if we havent got lines, colors , and textures

how could shapes be created?

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1 year ago

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Kinda need help anything helps

katovenus [111]

First you have to find the slope with the equation y2 - y1 / x2 - x1 , then once you have found the slope (slope = -2) you simply plug it into the point slope formula. y-0 = -2(x-5) solving it algebraically you should arrive at Y=-2x+10. (the 5 and 0 were plugged in are two of the X and Y points of the line which is why we plugged them into the X and Y values of the equation)

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3 years ago

Solve. 2(2z – 4) = 4

Oxana [17]

Answer:

$z = 3$

Step-by-step explanation:

1) Divide both sides by 2.

$2z - 4 = \frac{4}{2}$

2) Simplify 4/2 to 2.

$2z - 4 = 2$

3) Add 4 to both sides.

$2z = 2 + 4$

4) Simplify 2 + 4 to 6.

$2z = 6$

5) Divide both sides by 2.

$z = \frac{6}{2}$

6) Simplify 6/2 to 3.

$z = 3$

<em><u>therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>z</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>.</u></em>

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2 years ago

1. Determine if the set of ordered pairs is a relation or a function.

kykrilka [37]

Answer:

This is just a relation.

Step-by-step explanation:

It is easy to see if a set of ordered pairs is a relation or a relation that is a function.

If all the points are distinct, then you just have to look at the $x$ -coordinates.

If all the $x$ -coordinates are different, then it is a function. Otherwise, it is a just a relation.

So this cannot be a function because there is at least two different points that have $x=0$ .

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3 years ago

Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?

stiv31 [10]

Given equation of the Circle is ,

$\sf\implies x^2 + y^2 = 25$

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

$\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2$

Here we can say that ,

• <u>Radius</u> = 5 units

• <u>Centre </u> = (0,0)

<u>Finding</u><u> </u><u>distance</u><u> between</u><u> </u><u>the </u><u>two </u><u>points</u><u> </u><u>:</u><u>-</u><u> </u>

$\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }$

Here we can see that the distance of point from centre is less than the radius.

<u>Hence </u><u>the</u><u> </u><u>point</u><u> </u><u>lies </u><u>within</u><u> </u><u>the </u><u>circle</u><u> </u><u>.</u>

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3 years ago

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