Three billiard balls are left on the table. Use the expressions to determine which two balls are furthest apart.
Answers
Answer: Balls 4 and 9 are furthest apart
Step-by-step explanation:
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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Related Questions
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
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
Please help me please!!!
Answers
Range : 2 ,1 ,0 ,-1 ,-2
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
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
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:
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]
PLZ HELP ASAP PLZ AWSER DONT SKIP PLZ ASAP
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
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
Find the solution of this system of equations
5x = -10 - 5y
5x + 10y = -25
Answers
Answer:
y=10
Step-by-step explanation:
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
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
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)
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
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
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
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:
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
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 :) )
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 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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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)
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:
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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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..
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.
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:
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
Explanation: 2500 x 0.05 = 125
2.2625
Explanation: 2500 + 125 = 2625
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
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.
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