Three billiard balls are left on the table. Use the expressions to determine which two balls are furthest apart.

Answers

Answer 1

Answer: Balls 4 and 9 are furthest apart

Step-by-step explanation:

Answer 2

The 9 and 4 ball are farthest from each other.

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, three billiard balls are left on the table, we need to determine which two balls are furthest apart.

So, the balls are in the shape of a triangle, we know that, the greatest angle is opposite of the largest side,

So, we will find the angles first,

Since the angles of a triangle add up to 180 degrees,

(x-5)+(2x+1)+(3x-8)=180,

6x-12=180.

x = 32.

That means the 9 ball is at 27 degrees, the 4 ball is at 65 degrees, and the 5 ball is at 88 degrees.

Based on the angles, the farthest distance would be between balls 9 and 4.

Hence, the 9 and 4 ball are farthest from each other.

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Three Billiard Balls Are Left On The Table. Use The Expressions To Determine Which Two Balls Are Furthest

Related Questions

I need 2x+6 but when I solve it it’s wrong

Answers

Answer:

x=48

Step-by-step explanation:

2x+6=96

subtract 6 from both sides

2x=96

divide both sides by 2

x=48

xoxo, your highness...

Answer:

x = 88

Step-by-step explanation:

Find the solution of this system of equations
5x = -10 - 5y
5x + 10y = -25

Answers

Answer:

y=10

Step-by-step explanation:

is (6,5) for y = 5x - 25 a solution

Answers

Answer:

Yes.

Step-by-step explanation:

When you plug in 6 for x and solve for y, you get 5.

y=5(6)-25

y=30-25

y=5

When X is 6, Y is 5.

A rectangular carpet has a perimeter of 244 inches. The length of the carpet is 90 inches more than the width. Determine the dimensions of the carpet by solving the equation 2w+2(w+90)=244​, where w represents the carpet width.

Answers

Answer:

The dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

Step-by-step explanation:

Perimeter of rectangle = 244 inches

Let Width of rectangle = w

Length of rectangle = w+90

We need to find the dimensions (length and width) of the carpet

The formula used will be: [tex]Perimeter=2(length+width)[/tex]

Putting values and making equation:

[tex]244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16[/tex]

So, we get w = 16

The width w = 16 inches

Now, finding length = w+ 90 = 16+90 = 106 inches

Therefore the dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

Which equation represents the axis of symmetry
for the function y =-4(X+6)* +4?
A X=6
B X=4
C X=-6
X=-4

Answers

the axis of symmetry is -6 because the x always lies.

PLZ HELP ASAP PLZ AWSER DONT SKIP PLZ ASAP

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

lus
Donna is making blueberry muffins. She
wants to make a batch that is six times
larger than her recipe makes. Her recipe
calls for 1 cup of blueberries. How many
cups of blueberries will she need?

Answers

Answer:

6? cause it is six times bigger so six

I’m pretty sure it’s 6

Please i need help, i can't get this question wrong. Please help, please and thank you

Answers

Answer:

D. 48

Step-by-step explanation:

4pi r^2

4 × 3 × 2^2 = 48

Answer:

The answer is D.

Step-by-step explanation:

You only have to substitute π value and r value into the formula :

[tex]s.a = 4\pi {r}^{2} [/tex]

[tex]let \: \pi = 3,r = 2[/tex]

[tex]s.a = 4 \times 3 \times {2}^{2} [/tex]

[tex]s.a = 12 \times 4[/tex]

[tex]s.a = 48 \: {m}^{2} [/tex]

Help !!!! this due in 15 minutes!!

Answers

Answer:

See explanation

Step-by-step explanation:

for -2x+4=4 the slope is y=2x-4

for -3x+2y=6 the slope is y=3/2x+3

for -3x+2y=6 the y-intercept is y=3 or (0,3)

(you can plug into desmos to check :) )

Which relations are functions
Select function or not a function for each graph
PLS HELP

Answers

Answer:

The first and second one are functions, the rest are not

Step-by-step explanation:

Answer:

They actually can all be functions

i will give many points and brainlest if you find the area of the polygon

Answers

Answer:

28

Step-by-step explanation:

You can split the figure up

3*4/2 = 6

3*4/2 = 6

8*2 = 16

6+6+16 = 28

If r = 1 and θ = 4π/3 what is the approximate arc length

Answers

Answer: 4.189 units

Step-by-step explanation:

AP EX

As per linear equation, the required approximate arc length is 4.19 units.

What is a linear equation?

"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given,  length of the radius (r) = 1 units

The value of the given angle(θ) = 4π/3 radian.

Therefore, the approximate arc length is

= length of the radius × value of the given angle

= r × θ

= 1 × 4π/3 units

= 4π/3 units

= 4.19 units

The required approximate arc length is 4.19 units.

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Please help me please!!!

Answers

Domain : 4 ,1 ,0
Range : 2 ,1 ,0 ,-1 ,-2

4. (03.02) Factor completely x2 - 9x + 20. (1 point)​

Answers

Answer:

(x-4)(x-5)

Step-by-step explanation:

x² - 9x + 20

x²-4x-5x+20

x(x-4)-5(x-4)

(x-4)(x-5)

Answer:

Hope it can help you and please mark me as a brainlist..

HELP ASAP

Daniel works at a drive-thru restaurant. He has been keeping track of the number of vehicles that go through the drive-thru each hour in the table shown, where x is the number of hours since opening and f(x) represents the total number of vehicles.

Table:

x f(x)

1 18

2 38

3 60

4 78

5 93

6 117

7 143



Which polynomial function best models the data?

A) f(x)=0.4048x^2+16.9762x+2.1429


B) f(x)=0.3611x^3−3.9286x^2+31.7817x−10.8571


C) f(x)=0.3611x^3−4.4048x^2+35.5913x−15.1429


D) f(x)=0.072x^4−0.7904x^3+2.2917x^2+18.8683x−2.7143

Answers

The answer is C of your equation

The polynomial function which represents the number of vehicles ( x ) that go through the drive-thru each hour f ( x ) is given by the function f ( x ) , where f ( x ) = 0.4048x² + 16.9762x + 2.1429

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Daniel keeps track of the number of vehicles that go through the drive-thru each hour

Let the number of hours be x

Let the total number of vehicles that passes be y

Now , the values of x = { 1 , 2 , 3 , 4 , 5 , 6 , 7 }

The values of y = f ( x ) = { 18 , 38 , 60 , 78 , 93 , 117 , 143 }

Let the polynomial equation be represented as f ( x )

Now , the value of f ( x ) is calculated from the curve fitting model of hyperbola , where

f ( x ) = 0.4048x² + 16.9762x + 2.1429

when x = 3

f ( 1 ) = 0.4048 ( 3 )² + 16.9762 ( 3 ) + 2.1429

On simplifying , we get

f ( 1 ) = 3.6432 + 50.9286  + 2.1429

f ( 1 ) ≈ 60

Hence , the polynomial equation is f ( x ) = 0.4048x² + 16.9762x + 2.1429

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Please help!! Due really soon!
“Write a rule in function notation that fits the data”
I’ll mark you the brainliest! Please :)

Answers

9514 1404 393

Answer:

  f(x) = 6x +1

Step-by-step explanation:

Differences in x-values (first row) are 1, 1, 1.

Differences in y-values (second row) are 6, 6, 6.

The constant ratio of differences (6/1) tells you the function is linear, and has a slope of m = 6/1 = 6.

Using the first point in the form ...

  y = mx + b

we have ...

  y = 6x + b

  7 = 6·1 + b . . . . (x, y) = (1, 7)

  1 = b . . . . . . subtract 6

Then the equation can be written ...

  y = 6x +1

In functional form, this is ...

  f(x) = 6x +1

Im suppose to select the number line that goes with the inequalities.

Answers

Answer:

Number line C

Step-by-step explanation:

First, you isolate x. This gives you x>=3+4 or x>= 7. Next, you find a number line greater than or equal to which cancels out A and D. Now whichever line starts on 7, is the answer which is C

Answer:

C

Step-by-step explanation:

If you solve the equation your answer will be x≥7

This is a less than or equal to 7 so the point on the graph will be closed (or filled in) which means your closed point goes on 7 and goes down the line to the left because of the direction of the sign. (less than)


In the equation, 4x + 5 = 21, what is the first step in the order of
operations, to solve for x? *

Answers

Answer:

The first step you would have to do would be get 4x by itself

Step-by-step explanation:

So it would be 4x +5 = 21

-5 and -5

So it would be 4x = 16

In ΔEFG, e = 82 cm, ∠G=35° and ∠E=51°. Find the length of f, to the nearest 10th of a centimeter.

Answers

Answer:

105.3

Step-by-step explanation:

deltamath

What is - 2 x 6 - 5^2?

Answers

Answer:

The answer is -300

Step-by-step explanation:

The answer is -300 because -2 multiplied by 6 is -12 and -12 times 25 is -300

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 where t is time (in seconds).

Answers

Question:

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds.  Write an equation to determine how long it will take for the ball to reach the ground.

Answer:

[tex]t = 5.0625[/tex]

Step-by-step explanation:

Given

[tex]h(t)=-16t^2+80t+5[/tex]

Required

Find t when the ball hits the ground

This implies that h(t) = 0

So, we have:

[tex]0=-16t^2+80t+5[/tex]

Reorder

[tex]-16t^2+80t+5 = 0[/tex]

Using quadratic formula, we have:

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = -16[/tex]      [tex]b =80[/tex]      [tex]c = 5[/tex]

So, we have:

[tex]t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}[/tex]

[tex]t = \frac{-80\±\sqrt{6400 +320}}{-32}[/tex]

[tex]t = \frac{-80\±\sqrt{6720}}{-32}[/tex]

[tex]t = \frac{-80\±82.0}{-32}[/tex]

This gives:

[tex]t = \frac{-80+82.0}{-32}[/tex] or [tex]t = \frac{-80-82.0}{-32}[/tex]

[tex]t = \frac{2}{-32}[/tex] or [tex]t = \frac{-162}{-32}[/tex]

[tex]t = -\frac{2}{32}[/tex] or [tex]t = \frac{162}{32}[/tex]

But time can not be negative.

So, we have:

[tex]t = \frac{162}{32}[/tex]

[tex]t = 5.0625[/tex]

Hence, time to hit the ground is 5.0625 seconds

The length of a rectangle is 4 meters less than twice it's width. If the area of the rectangle is 96 inches, what is the width?

Answers

Answer:

w=8 inches

Step-by-step explanation:

w( 2w - 4) = 96

You put $2500 in a bank account with 5% interest
1. How much money will you earn in interest?
2. How much money will be in your account after 1 year?

Answers

1. 125
Explanation: 2500 x 0.05 = 125

2.2625
Explanation: 2500 + 125 = 2625

Karen correctly solved
X^2 + 3x = 18 using the factoring method what solutions did Karen find?
A. {-3, 6}
B. {-6, 3}
C. {2, -9}
D. {-2, 9}

Answers

Answer

d

Step-by-step explanation:

10
8
6
4
2
X
-10
-8
-6
-4
-2
0
2
4
6
8
10
-2
-4
What is the equation of the line in slope-intercept form?
arm
N

Answers

Answer:

This link has all the answers for that quiz: https://brainly.com/question/19699782?answering=true&answeringSource=greatJob%2FquestionPage%2F1

Not an emergency question, but it’s kinda important.
Which one is greater 4% or 0.001%

Answers

Answer:

4%

Step-by-step explanation:

dude if you got a whole number and a decimal, the whole number is going to be greater (as long as it isn't negative)

The two right triangles below are similar. What is x,
the missing side length in triangle DEF?
10
3.75
12
9.75

Answers

Answer:

13/12 = x/9

Cross mulitply.

X=9.75

Step-by-step explanation:

Give the domain and range of the relation. Tell whether the relation. Tell whether the relation is a function.

Answers

Answer:

It is the 4th option. Domain -3 ≤ x ≤ 3.   Range -2 ≤ y ≤ 2. This is not a function since it does not pass the vertical line test.

marlin is the first mate on a very successful fishing charter boat. last year marlin total income was $41,906. which equation could marlin use to determine the amount he made tips, t, he was paid $27 for every hour, h , he works


A. 27h - t =41906
B. 27h + t =41906
C. 41906h + 27 = t
D. 41906h - 20= t

Answers

answer A. 27h-t=41906
It is A. 27h-t=41906

When writing a recursive formula, whose initial term is 14 and whose
common difference is -4. Which one represents that theory

Answers

Answer:

thx

Step-by-step explanation:

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