Answer:
It is 38 meters!!!!!!
Step-by-step explanation:
The maximum distance between the runners at any given time is 38 meters.
What is general form of equation of a circle?"The general form of equation of circle is [tex]x^2 + y^2 + 2gx + 2fy + c = 0[/tex]."
here center = (-g, -f) and radius = [tex]\sqrt{g^{2} +f^{2} -c}[/tex]
What is the equation of circle?The equation of the circle with center (h, k) and radius 'r' is, [tex](x-h)^2 + (y-k)^2 = r^2[/tex]
For given question,
Addison and Kelsey are running on a path modeled by [tex]x^2 + y^2 - 12x - 8y - 309 = 0[/tex]
This means, they are running on a circular path.
By completing the squares, the equation is:
[tex]\Rightarrow x^2 -12x + 36+ y^2 - 8y +16 = 309 + 36+16\\\\\Rightarrow (x-6)^2+(y-4)^2=361\\\\\Rightarrow (x-6)^2+(y-4)^2=19^2[/tex]
This equation represents the circle with center (6, 4) and radius = 19
The maximum distance between the runners is the diameter of the circle.
diameter = 2 × radius
diameter = 2 × 19
diameter = 38 meters
Therefore, the maximum distance between the runners at any given time is 38 meters.
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i need help pls , if u do all of it ill like and give you the brainest
1. false
2. open
3. 5
hope dis helps
Find the value of x that makes m ∥ n.
Geometry: CC 2015 > Chapter 3: Proofs with Parallel Lines > Section Exercises 3.3
Answer:
X = 23∘
Step-by-step explanation:
(
7
x
−
11
)
=
(
4
x
+
58
)
corresponding angles are always equal.
3
x= 69
x = 69
3 = 23
Help help help help help
Answer:
5 and 6 because 31's square root is 5.68 and 25's square root is 5 while 36's square root is 6.
Step-by-step explanation:
A room contains 36 chairs arranged in rows. The number of rows is one more than twice the number of chairs per row. Find the number of rows.
26 chairs because it tells you there one more then twice
Roman numerals for 29 is
hello!
Answer:
XXIX
Step-by-step explanation:
Hope this helps! :)
by how much is the difference between 3978kg and 4869kg less than 1031kg , full solving
Answer:7816 kilograms
Step-by-step explanation:3978 kilograms 4869 kilograms = 8,847,000 grams
8847000 grams - 1031 kilograms = 7816 kilograms
Hazel drove 41 miles. Hazel's car used 2 gallons of gas. How many miles per gallon did Hazel's car get? HELP!
Answer:
she used 20.5 miles per gallon!
Step-by-step explanation:
41/2 = 20.5
Highest common factor of 42,72,and 56
Answer:
the HCF is 2
Step-by-step explanation:
Hellppp I’m stuck, I will give branliest
Answer:
35t + 2
thats what I got...........
Help this is due today
Answer:
The answer is 19/12
Step-by-step explanation:
Hope this helped
PLS HELP ME 100 POINTS AND FIRST TO ANSWER GETS BRAINLIEST
Which arrangement shows −512 , −5 , −6.4 , and −264 in order from least to greatest? −264, −6.4, −5, −512 −512 , −6.4 , −264 , −5 −512 , −5 , −264 , −6.4 −264, −6.4, −512, −5
Answer:
-512, -264, -6.4, -5
Step-by-step explanation:
Since we need to go from least to largest, you would use the order above.
The order from least to greatest is -512, -264, -6.4, -5.
The given integers are −512, −5, −6.4 and −264.
What is ascending order of negative integers?Ascending order of negative numbers means to arrange the given negative numbers from smallest to largest values.
It is very important to learn as in the case of negative numbers the absolute values of smaller numbers are greater than the absolute values of larger numbers, which makes it confusing.
Now, ascending order of given negative integers is as follows:
-512 < -264 < -6.4 < -5
So, the order from least to greatest is -512, -264, -6.4, -5.
Therefore, the order from least to greatest is -512, -264, -6.4, -5.
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the quotient of a number less than 8 and 5
Answer:
8/5
Step-by-step explanation:
A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 higher than in the first. The tax in the first city was
3.5%, and the tax in the second city was 5%. The total hotel tax paid for the two cities was $386.25. How much was the hotel charge in each city before tax?
First city:
Х
SLU
Second city: 0
5
?.
a manager wants to know the ratio of men to women in the factory they are wanted to 5 men and 270 woman working as a factory what is the ratio of men to women
Answer:
1 : 54
Step-by-step explanation:
5 men to 270 women
5 (men) : 270 (women)
make the ratio as small as you can by dividing the same number on both sides.
5 : 270. both sides can be divided by 5
1 : 54
It means for every 1 man working, there are 54 women working
help me with this jump I will give mark you as
Step-by-step explanation:
please mark me as brainlest
David is making a model of a regular triangular prism.
Calculate the surface area of the prism.
__ inches squared
Your team is selling flowers to raise money for soccer. Your team has spent $250 on flowers and plans to sell them for $5 each. If your team sells 30 flowers, does your team make any kind of profit?
----------------------------------------
Answer
Yes, $237
----------------------------------------
Step-by-step explanation:
First we do $250 divided by $5 = 50 Flowers (How much they would make) but they only sell 30 flowers, with 20 left over. With $12.5 loss. Since they spent $250 and lost $12.50 on leftovers. You would then do $250 - $12.50, $237.50
Therefore making $237.50 in profit.
Write a formula for the function g(x) obtained when the graph of f(x)=|x| is shifted down 7 units and to the right 13 units.
g(x)=?
9514 1404 393
Answer:
g(x) = |x -13| -7
Step-by-step explanation:
The transformation ...
g(x) = f(x -h) +k
represents a translation h units to the right and k units up. Here, we are translating 13 units to the right and -7 units up (that is, 7 units down). Then the transformed function is ...
g(x) = f(x -13) -7
g(x) = |x -13| -7
s f(x) = (x)+ 3 and g(x) = 3* - 5,
Answer:
x = -3
Step-by-step explanation:
Simplify the expression below, I really just need the steps I have the answer (also can someone tell me how to edit points on the app)
Answer: [tex]3x^2y\sqrt[3]{y}\\\\[/tex]
Work Shown:
[tex]\sqrt[3]{27x^{6}y^{4}}\\\\\sqrt[3]{3^3x^{3+3}y^{3+1}}\\\\\sqrt[3]{3^3x^{3}*x^{3}*y^{3}*y^{1}}\\\\\sqrt[3]{3^3x^{2*3}*y^{3}*y}\\\\\sqrt[3]{\left(3x^2y\right)^3*y}\\\\\sqrt[3]{\left(3x^2y\right)^3}*\sqrt[3]{y}\\\\3x^2y\sqrt[3]{y}\\\\[/tex]
Explanation:
As the steps above show, the goal is to factor the expression under the root in terms of pulling out cubed terms. That way when we apply the cube root to them, the exponents cancel. We cannot factor the y term completely, so we have a bit of leftovers.
Use the given property to complete the statement.
Distributive Property
3(x-1)= 3x - ?
A) -1
B) -3
C) 1
D) 3
Answer:
B) -3
Step-by-step explanation:
Use distributive property.
3(x-1)(3*x) - (3*1)3x - 3∴ 3(x-1) = 3x - 3
Hence, it is verified that choice B) -3 is the correct answer.
400 divided by 200. (11 POINTSSSS)
so does anyone know this i suck at math:(
Answer:
20=5x+2y
Step-by-step explanation:
Question is attached.
Step by step explanation only!
Answer:
Attached is your answer.
Step-by-step explanation:
hence Proved.Hope it helps you!!
LHS
[tex]\\ \sf\longmapsto \dfrac{cos(90-\Theta)}{sin\Theta}+\dfrac{sin\Theta}{cos(90-\Theta)}[/tex]
[tex]\boxed{\sf cos(90-A)=sinA}[/tex]
[tex]\\ \sf\longmapsto \dfrac{sin\Theta}{sin\Theta}+\dfrac{sin\Theta}{sin\Theta}[/tex]
[tex]\\ \sf\longmapsto 1+1[/tex]
[tex]\\ \sf\longmapsto 2[/tex]
Hence proved
There are 20% more goblins than wizards in magic club. There are 220 goblins and wizards together in magic club. How many goblins are in magic club ?
Answer:
120
Step-by-step explanation:
w = wizards
1.2w = goblins
_________
w + 1.2w = 220
2.2w = 220
w = 100
This means there are 100 wizards. To find the number of goblins just plug the number of wizards in the goblins = 1.2w.
1.2 (100) = 120.
There are 120 goblins in the magic club.
HELP LAST ATTEMPT ( get marked brainliest show work
Answer:
B
Step-by-step explanation:
the side length is equal to sqrt(33)
sqrt(33) = 5.74, closest to 5 3/4
Please help me with this question❤️
Thanks a lot
If = /4, find the value of each expression. (Round your answers to three decimal places, if necessary.)
sin2() =
sin(^{2} ) =
Answer:
2/4 = 0.5
0.578
Step-by-step explanation:
so sin(π/4) is √2/2 squaring this gets your first answer
second answer is just plug and chug in a calculator
S= 4LW + 2WH. S = 126, L = 8, W = 3.
Solve for H
Answer:
The answer is S=28+98=126
How did you get the ending finished goods inventory and the costs of goods sold?
Use the following steps to calculate closing inventory by the gross profit method:
1. Add the cost of beginning inventory to the cost of purchases during the period. This is the cost of goods available for sale.
2. Multiply the gross profit percentage by sales to find the estimated cost of goods sold.
3. Subtract the cost of goods available for sold from the cost of goods sold to get the ending inventory.
HELLOOO HELPPPPPPPPPP
Answer:
the answer to this question is 2/5