ote: Enter your answer and show all the steps that you use to solve this problem in the space provided.


Solve the system by elimination.


⎧

⎪

⎨

⎪

⎩

−

2

x

+

2

y

+

3

z

=

0

−

2

x

−

y

+

z

=

−

3

2

x

+

3

y

+

3

z

=

5

Answer:i cant see the answer

Step-by-step explanation:

The coordinates of the centroid of the triangle with the vertices at S(-2, 3), T(6, 7), and U(4, 1) is G(8/3, 11/3).

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians connect. The junction of all three medians is another definition for it. The median is a line that connects the middle of a side to the triangle's opposite vertex. The median is divided by the centroid of the triangle in a ratio of 2:1.

By averaging the x and y coordinates of each of the three vertices, we can get the centroid of the triangle. Therefore, the centroid formula may be written as G(x, y) = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3) in mathematics.

In the question, we are asked to find the coordinates of the centroid of the triangle with vertices at S(-2, 3), T(6, 7), and U(4, 1).

We know that the centroid is found using the centroid formula which is written as G(x, y) = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3).

Thus, the centroid G = ((-2 + 6 + 4)/3 (3 + 7 + 1)/3),

or, the centroid G = (8/3, 11/3).

Thus, the coordinates of the centroid of the triangle with the vertices at S(-2, 3), T(6, 7), and U(4, 1) is G(8/3, 11/3).

Learn more about the coordinates of the centroid of a triangle at

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Okay, So we're given that the amount of time it takes for class one to end is normally distributed. The amount of time it takes for the class to to start is normally distributed. And the amount of time it takes to get from class one to class two is also normally distributed. And they have these normal distributions, I have been down here. X one is the time that it takes to get to The time it takes for the first class to end. X two is the time it takes for the second class to begin. An X three is the time It takes to get from Class 1 to class too. So what I'm gonna do is I'm gonna let t equal X one plus X three and X one plus X three is the time it takes for the first class to end, added to the time it takes to get from class one to class too. So this will be equal to This will be equal to do one of these lines is equal to a normal distribution where we add the main values and we add the variances and this is allowed because all three of these are normally distributed and they're all independent of each other. We can do that when they're independent of each other. So if we add 902-6 minutes we get 908 and if we add one squared to 1.5 squared 1.5 squared is 2 to 5. So this is 3 to 5. And now that we have this normal distribution of the time it takes to get to class two added to the time it takes for the first class to end. We can now set this up With this 3rd distribution. So what we're trying to find is we want this time this normal distribution to be less than at the time it takes for the class to to start. So this normal distribution, so we want t To be less than X two. And so what we're gonna do now is I'm gonna rewrite this by just minus ng ti from both sides. So you get zero Is less than X two -T. And now we can set this up as another normal distribution by minus ng the two means and then we still add the variances. So this would be normal Where we have 908. We're sorry, we have 9 10 minus 98 just to two minutes and we have 3.25 Added to one squared up here. So that is 4.25 as our variants. And now what we can do is just set up a Z score. So right now we want to find the probability that X two minus T is greater than zero, but I'm going to change this. So we've found the probability of Z is greater than 0-. Are you divided by our variance? I'm sorry, our standard deviation and this will let us use then the standard normal distribution table to find our probability. So if we let zero minus you, if we set up this, so we actually find zero minus, you will use to so we know zero minus you is negative two and the standard deviation, It's just the square root of our variance, which is 4-5. So we're trying to find the probability that Z is greater than -2 over the square to 4.25. And we can do this by setting this up a different way, we can say that this is equal to one minus the probability that Z is actually less than or equal to -2 over the square to 4.25. And this will make it. So we can actually look at our distribution table And find the value that we need to, which is the value at -2 divided by the square to 4.25. So if we simplify this further, We'll see that -2 divided by the square Of 4-5, goes to about -97. And now if we go and look at our Normal distribution table, we'll see that the value at negative .97 Is just about .16 60 And so now all we have to do is take one and subtract this value of .1660. And we'll get a resulting value of .834, which is then our probability.

Answer:

y= 7

Step-by-step explanation:

6y + 8y =17 + 81

Combine like terms

14y = 98

Divide by 14

14y/14 = 98/14

y =7

Answer:

y=7

Step-by-step explanation:

Add 17 and 81 which is 98

then add 6y and 8y because they are also like terms which is 14y

now you have 14y = 98

then divide by 14 on both sides to get y by itself

then you will need to do 98/14 which is 7

answer is y=7

Answer:

I think the answer is letter A.

Answer:

x = -1

y = -8

Step-by-step explanation:

if y=10x+2 then we can substitute that expression in for 'y' in the second equation to solve for 'x':

-5x + 4(10x+2) = -27

-5x + 40x + 8 = -27

35x + 8 = -27

35x = -35

x = -1

now solve for 'y':

y = 10(-1) + 2

y = -10 + 2

y = -8

Answer:

f( -2) = 11

g(5) = - 18

Step-by-step explanation:

We're given a function "f" such that when it accepts a variable x, it's output, f(x), is:

[tex] \boxed{ \mathsf{f(x) = - 2 {x}^{3} - 5}}[/tex]

The value of f(x) depends upon what value of x is being inserted.

If x = -2

All the places taken by x will be given to -2

[tex] \implies \mathsf{f( - 2) = - 2( { - 2}^{3} )- 5 }[/tex]

(-2)³ is the cube of (-2) with -8 as it's result

[tex] \implies \mathsf{f( - 2) = - 2( { - 8}^{} )- 5 }[/tex]

when there's no operating sign between two numbers from different origin, they're multiplied

[tex] \implies \mathsf{f( - 2) = 16 - 5 }[/tex]

[tex] \implies \mathsf{f( - 2) = 11 }[/tex]

That gives us the value of f(-2) :

11

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Here's another function, "g", taking x as input and giving us an output g(x), such that:

[tex] \boxed{ \mathsf{g(x) = - 4x + 2}}[/tex]

If x = 5

All the positions taken by x will be given to 5:

[tex] \implies \mathsf{g(5) = - 4(5) + 2}[/tex]

no sign between two numbers from different origin results in their product.

[tex] \implies \mathsf{g(5) = - 20+ 2}[/tex]

[tex] \implies \mathsf{g(5) = - 18}[/tex]

Thus, the value of g(5) is:

-18

Answer:

x + (x + 2) = 30

Step-by-step explanation:

Number of Pennies = x

Number of Nickels = x + 2

Total = 30

x + (x +2) = 30

Hope it helps

Answer:

x + (x + 2) = 30

Step-by-step explanation:

Answer:

x= 7.3

Hope this helped!

Answer:

x= 7.3

Step-by-step explanation:

Answer:

5×4/3=20/3=6.666

Ans 6

Answer:

the scale factor is 1 1/3

Answer:

Answer is C

Step-by-step explanation:

I just took the test.

Answer:

216 possible combinations

Step-by-step explanation:

36 flavors

3 sizes (small , medium, and large)

2 options to hold the ice cream (waffle cone and cup)

So 36 x 3 x 2 = 216 possible combinations

I'm doing this right now too :)

You start by writing the original numbers given into a proportion, which would be

miles          

_____      

hours

Then you have to convert the top unit, miles, into feet. You have to use the rate 1mile:5280 feet. You write that as a proportion too.

miles        1

_____ =  ___

hours      5280

Next, you have to add a conversion rate for changing the hours into seconds. You'd use the rate 1 hour: 60 seconds.

miles        1          60

_____ =  ___  =  ____

hour        5280      1

Then you'd cross multiply to solve.

Hope I helped! Please mark me brainliest

Answer:

Step-by-step explanation:

First, we have to fix the equation so we separate the variable. In other words, look at each number if it has a variable on the side of it put them together

8m+m+7=16

m is the same as 1

8m+m=9m

9m+7=16

Answer:

.55

Step-by-step explanation:

Divide the 2 numbers

Answer:

20 ÷ 10 = 2

So x = 20

Step-by-step explanation:

Hope this helps!

Answer:

x = 20

Step-by-step explanation:

1. Multiply 10 on both sides

2. The 10 on he left said will cancel out

3. x = 20

Answer:

you can cheat your way then roll a 4 or a 5

Answer:

100.05

Step-by-step explanation: thanks

Answer:

divide both sides by -7.4

x=3

Answer:

divide -7.4 on both sides. the answer will be +3

Step-by-step explanation:

Answer:

It takes Neptune 165 earth years to orbit the sun.

Vatican City is the capital of the Vatican City state situated within the Italian city of Rome. It occupies an area of only 0.17 square miles making it the world's smallest state by land area.

The battle of Hastings took place in a small town called; Battle in East Sussex, England.

Step-by-step explanation:

Answer:

Ashley.

Greg's equation is 20 * 2, which is $40.

Ashley's equation is [tex]20^{2}[/tex], which is 20 * 20, or $400. Ashley's investment is marginally greater than Greg's.

Step-by-step explanation:

2x² - 9x + 2 = -1

2x² - 9x + 3 = 0

D = b² - 4ac

D = (-9)² - 4.2.3

D = 81 - 24

D = 57

D > 0 , so there are two real roots

Option → C

_________

[tex] \: [/tex]

2x² - 9x + 2 = -1

2x² - 9x + 2 + 1 = 0

2x² - 9x + 3 = 0

Soo :

D = b² - 4ac

D = (-9)² - 4(2)(3)

D = 81 - 4(6)

D = 81 - 24

D = 57

Option (C.)

Answer:

Are also equal

Step-by-step explanation:

Say triangle A has the angles 30 and 60. triangle b also has those angles. Total angle of any triangle is 180 so 180-60-30 = 90 for triangle A and it is also the same for triangle b. Thus 90 = 90 angles are the same.

Answer:

1.5 cm

Step-by-step explanation:

5 km is half of 10 km.

1.5 cm is half of 3 cm.

Answer:

if ur asking what slope-intercept form is, its y = mx + b where y is the y-coordinate, m is the slope, x is the x-coordinate, and b is the y-intercept

Step-by-step explanation:

Answer:

g = 32

Step-by-step explanation:

g + (-5) = 27

g - 5= 27

g = 27 + 5

g = 32

hope this helps

Answer:

G=32

Step-by-step explanation:

because the five is a negative and the g is a positive you would have to add 5 to 27.

Answer:

EC = 64

CD = 128

Step-by-step explanation:

AB bisects CD at E. So, EC = ED

EC + ED = CD

EC + EC = CD

2*(EC) = CD

2* (5x + 9) = 13x - 15

2*5x + 2*9 = 13x - 15

10x + 18 = 13x - 15

Subtract 10x from both sides

18 = 13x - 10x - 15

18 = 3x - 15

Add 15 to both sides

18  + 15 = 3x

      33 = 3x

3x = 33

Divide both sides by 3

x =33/3

x = 11

Length of EC = 5x + 9 = 5*11 + 9 = 55 + 9 = 64

CD = 13x - 15 = 13*11 - 15 = 143 - 15 = 128

Answer:

37.5%

Step-by-step explanation:

without replacing 7 becomes 6 so

6+6+4=16

and you have 6 red pens in the box so. 6/16 as a decimal is 37.5%

Answer:

A

Step-by-step explanation:

y=mx+b

- m is your slope

- b is the y-intercept

if you look at your graph you can see the y-intercept is -3 because its on the y-axis

for the slope you do rise/run