the environment club is electing a president, vice president, and treasurer. how many different ways can the officers be chosen from the 6 members?

x² + 2x + y² + 4y = 20

We complete the square in both x and y.  For each we  add half the linear coefficient, squared.  So (2/2)²=1 for x and (4/2)²=4 for y.  We add them to both sides to keep the equation the same.

x² + 2x  + 1   + y² + 4y + 4  = 20 + 1 + 4

Now the left side is the sum of squares and the right side is the squared radius.

(x + 1)² + (y + 2)² = 5²

Standard form is (x-p)² + (y-q)² = r² for center (p,q) and radius r.  Note the minus signs.

We read off the answer:

Answer: Center (-1, -2), radius 5.

Answer:

1/5

Step-by-step explanation:

the 5 is the total number of times he tried

the 1 is how many times he rolled a 1

Answer:

23 in

Step-by-step explanation:

Convert the stuff they gave you to inches 4*3*2= 23

then use the volume formula

i hope this helped <33

Answer:

 x^(3)y^(4)\sqrt(2)

Step-by-step explanation:

Answer:

26 and 31

Step-by-step explanation:

The square root of 26 is between 5 and 6, and so is the square root of 31.

Answer:

D. 6.71 units

Step-by-step explanation:

In order to solve this, we need to use the distance formula, which states that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Here, we have (0, 0) and (6, 3), so:

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

d = [tex]\sqrt{(3-0)^2+(6-0)^2}=\sqrt{9+36} =\sqrt{45} =3\sqrt{5}[/tex] ≈ 6.71

The answer is thus D.

Answer:

D 6.71 units

Step-by-step explanation:

AB² = (6 - 0)² + (3 - 0)²

AB² = 36 + 9

AB² = 45

AB = 3sqrt(5)

Approximately 6.71

Answer:

x = 10.6

y = 10.6

Step-by-step explanation:

To answer this question you will need to use trigonometry. If you don't already have an understanding of trigonometry, this will be very hard to explain. please let me know in the comments if you would like me to give it a go.

I hope this was helpful :-)

Answer:

5

Step-by-step explanation:

Answer:

(6x+5)(9x-2)

Step-by-step explanation:

Area = Length x Width

Answer:

54[tex]x^{2}[/tex] +33x - 10

Step-by-step explanation:

you have to use F.O.I.L.  First Outter Inner Last

(6x + 5)(9x - 2)

First (6x)(9x)         = 54 [tex]x^{2}[/tex]

Outter (6x)(-2)      = -12x

Inner (5)(9x)         = 45 x

Last (5)(-2)            = -10

combine middle terms

54[tex]x^{2}[/tex] +33x - 10

Answer:

Step-by-step explanation:

Diameter is 7cm

radius is diameter/2 = 7cm/2 = 3.5cm

Answer:

[tex]diameter = 7 \: \: cm \\ radius = 3.5 \: \: cm[/tex]

Step-by-step explanation:

[tex]d = 7 \: \: cm[/tex]

[tex]r = \frac{d}{2} \\ r = \frac{7}{2} \\ r = 3.5cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

4x2 + 7x - 6

 ————————————

    x - 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are many methods but I give you the factorisation:

[tex]4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8[/tex]

So

[tex]\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\ \\=4x-1 +\frac{8}{x+2}[/tex]

That means the quotient is 4x-1 and the remainder is 8.

Answer:

397

Step-by-step explanation:

67 + 90 + (40 x 6)

PEMDAS

Parentheses first

67 + 90 + 240

Then add

157+240

397

Answer:

D

Step-by-step explanation:

A linear function has a constant slope. Meaning that for any equal change in x, there will be an equal change in y.

Answer:

Step-by-step explanation:

5n + 5 = 45

Coefficient of n = 5

Constant =  5  & 45

Answer:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y)

Coefficient of n = 5

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

Constant =  5  & 45

Answer:

can u explain it more lol

Step-by-step explanation:

1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

Thomas has 1 blue shirt

Thomas has 1 green shirt

Thomas has 1 blue hat

Thomas has 1 green scarf

Thomas has 1 blue pair of pants

Thomas has 1 green pair of pants

So, number of blue garments = 3

Number of shirts = 2

Total garments =6

Probability is the measure of the likelihood of an occurrence.

P(event) = Favorable outcomes / Total outcomes

P(blue garment) = 3/6 =1/2

P(shirt) = 2/6 =1/3

Hence, 1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

To get more about probability visit:

https://brainly.com/question/24756209

Answer:

45 goals

Step-by-step explanation:

You have the fraction 24/8

After you simplify it you get 3/1 (that’s the percentage of goals/games)

Supposing goals = x,

x/15 = 3/1

x= 45 goals

Answer:

X= -45

Step-by-step explanation:

Subract 23 from both sides to solve for x.

Answer:

x = -45

Step-by-step explanation:

x + 23 = -22

x = -22-23

x = -45

Answer:

1 / 1296

Step-by-step explanation:

Rolling a 1 for one of the cubes is 1 / 6

1 / 6 * 1 / 6 * 1 / 6 * 1 / 6 = 1 / 1296

Answer:

1 / 1296

Step-by-step explanation:

We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on 1 cubes.

We know the probability of rolling a 4 on one cube will be .  the probability of rolling 4 in each of the individual cubes will be .

But we want 4 to be rolled on 1 cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the 1 cube is  which simplifies to . 1 / 1296

Hope this helps

C. =10x+1

y-intercept is 1 because it is the start up cost. 10 is the factor because it says "$10 a month" The variable x is the months

Answer:

y = 15

x = 30

Step-by-step explanation:

Answer:

y = 15

x = 30

Step-by-step explanation:

Since adjacent are equal, that means all 4 angles are equal to 90 degrees

6y = 90

Divide by 6

6y/6 = 90/6

y = 15

3x = 90

Divide by 3

3x/3 = 90/3

x = 30

Answer:

Lower quartile=46

Upper Quartile=52

Median=48

Step-by-step explanation:

Look at the three dots on/in the plot the first one is the lower quartile and the middle is the median and the last one in the box plot  (52)is the upper quartile, the ones on the outsides are the minimum and the maximum.

Answer:

Part A:

Formula for circumference: C = diameter x pi

=> pi = C/diameter

=> pi(A) = 12.56/4 =3.14

=> pi(B) = 6.28/2 = 3.14

Part B:

Formula for area: A = radius^2 x pi = (diameter/2)^2 x pi

=> pi = A/(diameter/2)^2

=> pi(A) = 12.56/(4/2)^2 = 12.56/4 = 3.14

=> pi(B) = 3.14/(2/2)^2 = 3.14/1 = 3.14

Part C:

pi(A) = pi(B) = 3.14 in both ways of calculation derived from circumstance and area.

=> pi is a constant value: 3.14

Answer:

A) pi = 3.14

B) pi = 3.14

C) pi has the same value for all calculations, pi is a constant

Step-by-step explanation:

Circumference = pi × d

12.56 = 4 × pi

pi = 3.14

6.28 = 2 × pi

pi = 3.14

Area = pi × r²

12.56 = pi × (4/2)²

12.56 = 4pi

pi = 3.14

3.14 = pi × (2/2)²

3.14 = pi

Answer:

Pretty sure its A

Step-by-step explanation:

wait hold on im wrong

how do you delete an answer

Answer: You could plot the points  (0,-2) ( 1,0) ( 2,2) (3,4) ( 4,6) (5,8) ( -1,-4) (-2.-6)

Step-by-step explanation:

y= 2x - 2

x      y

0    -2

1       0

2      2

3        4

4        6

5          8

-1        -4

-2            -6

Answer:825

Step-by-step explanation:

i don' really get the question but the only 2 mistakes i can spot are:

Munich is in the wrong place and so is Oslo.

explanation:

if you look at the way the other 3 are positioned then you will see

Answer:  Region I and III

Step-by-step explanation:

The Union includes all the members of set A and set B

Region II is also part of that union, but alone, Region II is the intersection.

Answer:

C

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula.

The point slope formula is:

[tex]y-y_{1} =m(x-x_{1})[/tex]

where m is the slope, and (x1, y1) is the point given.

We know that the slope is -3, and the point given is (10, -1)

Therefore, our m is -3, x1 is 10, and y1 is -1.

y- -1 = -3(x-10)

y--1 is the same as y+1

y+1= -3(x-10)

Therefore, choice C is correct.

Answer: Bristol's heart rate reaches a maximum of 120

bpm

Step-by-step explanation:

Answer:

Bristol's heart rate reaches a maximum of 120 bpm

At the end of yoga class, Bristol's heart rate returned to her resting heart rate

The graph that models Bristol's heart rate is a parabola

Step-by-step explanation:

Answer:

A ( 1.5, 6 ), B ( 15, 33 ), Slope ⇒ 2

Step-by-step explanation:

We are given the line y - 2x = 3;

For the value 6, let us substitute this value in terms of y such to compute the value of x on the line y - 2x = 3;

6 - 2 * x = 3 ⇒ Subtract 6 on either side,

-2 * x = - 3 ⇒ Divide - 2 on either side of equation

x = 1 and 1 / 2 for y = 6,

Solution; A ( 1.5, 6 )

Now for the value 15, let us substitute this value in terms of x to compute the value of y on the line y = 2x - 3;

y - 2 * ( 15 ) = 3 ⇒ Multiply 15 by 2,

y - 30 = 3 ⇒ Add remaining terms,

y = 33 for x = 15,

Solution; B ( 15, 33 )

To determine the slope of this we could take the formula ( y2 - y1 )/ ( x2 - x1 ) for the two points we have derived or, for simplicity, take a look at the format of the equation;

y - 2x = 3 ⇒ Convert to point slope form, in format y = ax + b, where a ⇒ slope, and b ⇒ y - intercept

y = 2x + 3, ⇒ Solution; Slope ⇒ 2