Mr. Jones got four seats on the school's trip to Grand
Canyon for his students. In how many different ways Mr.
Jones can select a group of four from his class of 36?

Answer:

[tex]Z(x,y) = (-18,7)[/tex]

Step-by-step explanation:

Given

[tex]X = (10,9)[/tex]

[tex]Y = (-4,8)[/tex]

Required

Determine the coordinates of Z

From the question, we understand that Y is the midpoint

And the midpoint is calculated as:

[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

In this case:

[tex]Y(x,y) = (-4,8)[/tex]

[tex]X(x_1,y_1) = (10,9)[/tex]

[tex]Z = (x_2,y_2)[/tex]

So: This gives

[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

[tex](-4,8) = (\frac{10+x_2}{2},\frac{9+y_2}{2})[/tex]

Multiply through by 2

[tex](-8,16) = (10 + x_2,9+y_2)[/tex]

By comparison:

[tex]-8 = 10 + x_2[/tex] and [tex]16 = 9 + y_2[/tex]

Solving for x2

[tex]-8 = 10 + x_2[/tex]

[tex]-8 - 10 = x_2[/tex]

[tex]-18 = x_2[/tex]

[tex]x_2 = -18[/tex]

Solving for y2

[tex]16 = 9 + y_2[/tex]

[tex]16 - 9 = y_2[/tex]

[tex]7 = y_2[/tex]

[tex]y_2 = 7[/tex]

Hence, the coordinates of Z is:

[tex]Z(x,y) = (-18,7)[/tex]

Answer:

n+8+n-12=

simplyfiy=2n+20

Step-by-step explanation:

Ya'll just have to simplify the expression and add the like terms together. hope I helped

Answer:

3.901

Step-by-step explanation:

Add 0.001 to 3.9.

Answer:

3.901

Step-by-step explanation:

Answer:

can you please describe it more

Step-by-step explanation:

You can find the angles using the unit circle. You can also find the angle using algebra.

I want to show you the algebra way.

Since cos(x) = cos(2•pi - x), this leads to two equations.

The two equations are as follows:

cos (x) = -1/2...the given problem.

We also have cos (2•pi - x) = -1/2.

To isolate x for both trigonometric equations, use the inverse trig function idea.

Equation 1

arccos(cos x) = arccos (-1/2)

x = 2•pi/3

Equation 2

arccos(cos (2•pi - x)) = arccos (-1/2).

Note: 2•pi - x = 2•pi/3. We are not done with this equation. We must isolate x. In other words, like any other equation, solving for x is needed.

When we subtract 2•pi from both sides, the answer for x in the second equation is 4•pi/3.

As you know, 2•pi/3 and 4•pi/3 lie between 0 and 2•pi on the unit circle.

Answer: 2•pi/3, 4•pi/3

Answer:

< EAC = 31 (small angle of blue triangle)

< BCA = 31 (small angle of green triangle)

< ABC = 104 (big angle of green triangle)

< BDC = 45 (yellow triangle)

< BDF = 135 (outside yellow triangle)

< AEG = 76 (outside blue triangle)

Answer:

389 people

Step-by-step explanation:

Step 1

we convert 1500 inches to feet

1 inch = 0.0833 feet

1500 inches = x feet

x = 1500 × 0.0833

x = 125 feet

Step 2

We create a proportion

Since it is on both sides

20/9ft × 10ft = x/7 feet × 125 feet × 2

20/90 = x/1750

Cross Multiply

90 × x = 20 × 1750

x = 20 × 1750/90

x = 35000/90

x = 388.88888889

approximately = 389 people

Answer:

y = x + 3

Step-by-step explanation:

1 + 3 = 4

2 + 3 = 5

3 + 3 = 6

And so on

Answer:

Step-by-step explanation:

Answer:

A

C

D

Step-by-step explanation:

I copied some smart kid

Answer:

a. not sure

b. yes

Step-by-step explanation:

According to the given scenario, the following information is mentioned

[tex]\alpha[/tex] =0.025

In the case when the alpha is equivalent to 0.025 so the p test value would be more than the significance level i.e. 0.025 as the prescribed test is not important

So here

p>0.025

In the above case i.e. p>0.025 this does not mean that p>0.2 so we are not sure about this case whether he made teh same decision or not

Now in the another case, if the significant level is 0.005 so we are sure that p>0.005 as it is more than 0.025 so here also the test is not significant

So, here the same decision could be made

Answer:

a

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

First you multiply by crossover and you get 3(5-x)=18

Then divide the two wings and you'll get 5-x=6

Then you need to separate the x from the numbers

so you move 5 to the right side and you get -x=6-5

Then you calculate it and you get -x=1

and x= -1

hope it helped <3

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

Given the equation

[tex]\frac{5-x}{9}=\frac{2}{3}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}9[/tex]

[tex]\frac{9\left(5-x\right)}{9}=\frac{2\cdot \:9}{3}[/tex]

[tex]5-x=6[/tex]

[tex]\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}[/tex]

[tex]5-x-5=6-5[/tex]

[tex]-x=1[/tex]

[tex]x=-1[/tex]

Answer:

1.) ML

2.) congruent

3.) include

4.) congruent

Expression 2(x+1) represents the sum of bob and Jacks age.

An expression is combination of variables, numbers and operators.

Given,

Bob is x years old,

Jack is two years older than bob=x+2

we need to find the sum of jacks age and bobs age

x plus x plus two

x+x+2

Two times of x plus two

2x+2

Take two as common, two times of x plus one

2(x+1)

Hence expression 2(x+1) represents the sum of bob and Jacks age.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Answer:

contrapositive

Step-by-step explanation:

Answer:

{2.3, 5.0, 7.5, 10.0, 12.5} Option b

Step-by-step explanation:

Domain is the input values and the range is the output values. The y values.

Answer:

b

Step-by-step explanation:

Answer:

3)

3.6 • 109

Step-by-step explanation:

i think lang naman bat kaylangan ng explanation charr!!

Answer:

♡ hi there, madi here! ♡

hope your having a great day.

I did the math so here's your answer.

2x−3)(x−3)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x-3=0.   x-3=0

Set the first factor equal to 0 and solve.

x=3/2

Set the next factor equal to 0 and solve.

x=3

Therefore, the final solution is all the values that make (2x-3) (x-3)=0 true. x=3/2,3♡

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Answer:

The quotient of forty-two and six is seven.

Answer:

G

Step-by-step explanation:

-1 3/5 < -1.47 < -0.83 < -4/5 < 0.15

Answer:

$2.25 per movie

Step-by-step explanation:

3(4)= $12

$12-$3= $9

$9/4= $2.25

Answer:

2/3 in 3/4 of an hour. that would mean u an extra 1/4 of an hour would give Katie the time to finish up the project

Step-by-step explanation:

Katie, take no breaks when u can get this done in an hour. don't be lazy

Answer:

2

Step-by-step explanation:

108*2

=216

216

=6^3

PLS GIVE BRAINLIEST

Answer:

well you have to use y=mx and plugg your numbers in

Step-by-step explanation:

sorry its not much help

Answer:

[tex]\frac{8}{6}=1\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{2}-2\frac{1}{6}[/tex]  Fractions cannot be added or subtracted unless they have the same denominator (bottom number)

[tex]\frac{7}{2}-\frac{13}{6}[/tex]     Change to an improper fraction. Multiply the denominator times the whole number (number on the side) then add to the numerator (top number) and place over the the denominator (3*2+1=7→[tex]\frac{7}{2}[/tex])

[tex](\frac{7}{2}*\frac{3}{3})[/tex] - [tex]\frac{13}{6}[/tex]   In order to give both fractions the same denominator, find the least common denominator (LCD = one number that both denominators will divide evenly into) LCD = 6. Then multiply the top and bottom by a number that gives the LCD. We only need to multiply the first fraction  top and bottom by 3.

[tex]\frac{21}{6} - \frac{13}{6} = \frac{8}{6}[/tex]   This is an improper fraction because the numerator is larger than the denominator. To make a mixed number divide the numerator by the denominator and simplify.

[tex]\frac{8}{6} = 1\frac{2}{6} = 1\frac{1}{3}[/tex]   [tex](\frac{2}{6} \frac{divided by}{divided by}\frac{2}{2} = \frac{1}{3})[/tex]