Answers
Answer:
(x – 8)2 + (y – 10)2 = 36
Step-by-step explanation:I took the test
The equation of a circle with center at [tex](8, 10)[/tex] and radius [tex]6[/tex] will be
[tex](x-8)^2+(y-10)^2=36[/tex] which is given in option [tex](3)[/tex] .
What is equation of a circle ?Equation of a circle is written in the form [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius.
We have,
The center at [tex](8, 10)[/tex] and radius is [tex]6[/tex] .
i.e.
[tex]h=8[/tex]
[tex]k=10[/tex]
[tex]r=6[/tex]
So, using the above given equation,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Putting the above values in this equation
We get,
[tex](x-8)^2+(y-10)^2=(6)^2[/tex]
i.e.
[tex](x-8)^2+(y-10)^2=36[/tex]
This is the equation of a circle which is derived using the above given equation.
Hence, we can say that the equation of a circle with center at [tex](8, 10)[/tex] and radius [tex]6[/tex] will be [tex](x-8)^2+(y-10)^2=36[/tex] which is given in option [tex](3)[/tex] .
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Related Questions
What happens to a figure that is dilated by a factor of 13
Answers
Answer: it gets smaller, 13 times smaller
Step-by-step explanation:
Size of the figure/13
The shaded area of the shape below rounded to the nearest whole number is:
8 cm
8 cm
Answers
Answer:
64
Step-by-step explanation:
8x8=64
8cm*8cm=64cm.
Which expression is equivalent to (0.5x+7)−(1.2x−3)?
(0.5x+1.2x)+(7+3)
(0.5x+(−1.2x))+(7+(−3))
(0.5x+(−1.2x))+(7+3)
(0.5x+1.2x)+(7+(−3))
Answers
= (0.5x + 7) -1(1.2x - 3)
= 0.5x + 7 - 1.2x + 3
= (Now, we will combine and group the like terms.)
= 0.5x - 1.2x + 7 + 3
= -0.7x + 10
So, in conclusion, the answer to this question is: -0.7x + 10 which is equal to the third expression: (0.5x+(-1.2x))+(7+3).
Glad I could help!
On a number line suppose point E has a coordinate of -1 and EG=12 what are the possible coordinates of point G? The possible coordinates for G are__.
Answers
Step-by-step explanation:
We have |E - G| = 12.
=> E - G = 12 or E - G = -12
=> (-1) - G = 12 or (-1) - G = -12
=> G = -13 or G = 11.
Coordonates of G could be -13 or 11.
Answer:
7,1
Step-by-step explanation:
25 POINTS!!! The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for plane A. The table represents the relationship for plane B. Find the slope of the graph for each plane and the plane's rate of speed. Determine which plane is flying at a faster rate of speed. Look at the photo.
Answers
Answer:
Step-by-step explanation:
For plane A,
Equation that represents the relationship between time 'x' and distance 'y' is,
y = 470x
By comparing this equation with the slope-intercept form of the equation,
y = mx + b
m = slope = 470
b = 0
Here, slope represents the speed of plane A.
Therefore, speed of plane A = 470 mi per hour
For plane B,
From the given table,
Slope of the graph = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{960-480}{2-1}[/tex]
= 480
Speed of plane B = 480 miles per hour
Since, speed of plane B is more than plane A,
Plane B is flying faster.
PLEASE HELP
What is the solution
3/4x+2x-3=-1/4x+21
Answers
Answer:
x=1/27
Step-by-step explanation:
In attachment...
Write the correct answer. Euros are currency used in several European countries. On one day in October 2005, you could exchange $3 for about 2.5 euros. How many dollars would you have needed to get 6 Euros?
Answers
Answer: 7.2 $ will be needed to get 6 Euros.
Step-by-step explanation:
Given : 3$ could be exchanged for 2.5 euros
That means :
To get 2.5 euros , dollars needed are = 3$
By using Unitary method:
To get 1 euro , dollars needed are = [tex]\frac{3}{2.5}[/tex] $
To get 6 euros , dollars needed are = [tex]\frac{3}{2.5}\times 6=7.2[/tex] $
Thus 7.2 $ will be needed to get 6 Euros.
Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each lap in 1.5 minutes. Which inequality best represents the situation and represents x, the greatest number of laps Peter could run in a day?
Answers
Answer:
1.5x ≤ 60
Step-by-step explanation:
He wants to run no more than 60 minutes a day
No more than means Less than or equal to with the inequality sign of ≤
Each lap = 1.5 minutes.
The greatest number of laps Peter could run = x
Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day
1.5 × x ≤ 60 minutes
= 1.5x ≤ 60
Solving for x
1.5x ≤ 60
x ≤ 60/1.5
x ≤ 40 laps
Hence, the Greatest number of laps = x that he can run is 40 laps
Find the missing side length of the similar figures below:
Answers
Answer:
1) d 2) b
Step-by-step explanation:
1) 36÷24 = 1.5 15×1.5= answer
2) 4÷3.2= 1.25 7.5÷1.25= answer
Help please due now!
Answers
Answer:
8
Step-by-step explanation:
3(2)-2(1-2) / 3-2
6-2(-1) / 1
6 + 2 / 1
8 / 1
= 8
A novel has 13 times as many pages as a short story. The combined number of pages in the books is 448 pages. How many pages are in each book?
Answers
What sports do you think I play‼️ If you get it right you get a prize
Answers
Answer:
Honestly doing this bc im bored but i dont know baseball or football
Do you play baseball? did I get it right?
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun
one time, what is the probability that the result is a multiple of 3 and a multiple of 5
Answers
Answer:
7 / 15= 0.47
Step-by-step explanation:
What is 34.208 in terms of pi.
INCORRECT/SILLY ANSWER = REPORT!
Answers
Answer:
10.8887π.
Step-by-step explanation:
34.208 / π
= 10.8887π.
Gary spent 1/6 of his money on baseball cards, 3/10 of the remaining on candy and save the rest. If he spent $6 on baseball cards, how much money did he have in the beginning? Pls anwser
Answers
Answer: $36
Step-by-step explanation:
Let the total amount of money that he had in the beginning be represented by x.
Since Gary spent 1/6 of his money on baseball cards which was $6. This will then be solved further as:
1/6 × x = 6
1/6x = 6
x = 6 × 6
x = 36
The total amount of money that he had in the beginning was $36
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Answers
Answer:My best guess is B or C
Step-by-step explanation:
im not the best at solving this but I feel certain it’s either of those
555x777(1,456x9,643) x)256= my teacher crazy
Answers
Answer:
1.54998505 x 10 to 15 power
Step-by-step explanation:
Evaluate |bc|, given a = 5, b = -3, and c = -2.
Answers
Answer:
6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
|Absolute Value| - makes any number positiveStep-by-step explanation:
Step 1: Define
|bc|
a = 5
b = -3
c = -2
Step 2: Evaluate
Substitute: |-3 · -2|Multiply: |6|Evaluate: 6What is the y intercept of the following equation
3x-2y=4
Answers
Answer: y = -2 + 3/2x
Step-by-step explanation:
1. 3x - 2y = 4 (move the variable to the right of the equal)
1.1. -2y = 4 - 3x
2. y = -2 +3/2x (divide both sides by -2)
Is this congruent or not? And is it
SSS
SAS
SSA
AAS
HL
Answers
Triangle JHK is congruent to triangle JLK by SAS
HEEEELP PLEASE I NEED HELP DONT SAY "I DONT KNOW" PLEASE
Answers
Step-by-step explanation:
Time taken to complete the race
= Distance / Speed
= 56 miles / (14 miles/hr)
= 4 hours. (B)
Answer:
B. 4 hours
Step-by-step explanation:
If the distance is total of 56 miles and he travels 14 miles per hour,
divide 56/14
56/14=4
4 hours to complete the 56-mile race
Fiona and Diana are sisters. They each baked cookies. Fiona baked 15 more cookies than Diana. They baked a total of 75 cookies. How many cookies did each girl bake?
Answers
Answer: Fiona baked 45 cookies and Diana baked 30 cookies.
45 + 30 = 75 total cookies baked.
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Answers
Answer:
It's upside-down how do I answer it when its upside down
Step-by-step explanation:
Please make it face forward
Find the surface area of the cylinder. (no units-round to nearest tenth)
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5 m
Answers
Answer: 471.238898359 Or when rounded, 471.2
Step-by-step explanation:
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Answers
Answer:
x=-2/9
y=-46/9
Step-by-step explanation:
Y=-46/9
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Please answer ASAP!
-6=2x
Answers
Answer:
3
Step-by-step explanation:
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings
Answers
Answer:
Step-by-step explanation:
110.75=10.5h-16
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Answers
Answer:
c
Step-by-step explanation:
Answer:
x=30cm
Step-by-step explanation:
The sides are proportionate so you can solve this by using ratios 75/30=x/12
Cross Multiply
30x=900
x=30
During 24 hours a radio station spends 1/5 of the time playing rock music,2/3 playing hip hop, and the rest playing dance music.How much time is spent playing dance music?
Answers
Answer:
[tex]3.2\:\text{hours}[/tex] is spent playing dance music.
Step-by-step explanation:
Given: During [tex]24[/tex] hours a radio station spends [tex]\frac{1}{5}[/tex] of the time playing rock music, [tex]\frac{2}{3}[/tex] playing hip hop, and the rest playing dance music.
To find: How much time is spent playing dance music?
Solution:
We have,
Radio station spends [tex]\frac{1}{5}[/tex] of the time playing rock music.
Radio station spends [tex]\frac{2}{3}[/tex] of the time playing hip hop.
Radio station spends rest of the time playing dance music.
So,
Time spend on playing rock music [tex]=\frac{1}{5}\times24 = 4.8\:\text {hours}[/tex]
Time spend on playing hip hop [tex]=\frac{2}{3}\times24 = 16\:\text {hours}[/tex]
Now, total time radio station spends on all the three music is [tex]24[/tex] hours.
Therefore, rest of the time[tex]=24-(16+4.8)=3.2\:\text{hours}[/tex]
It is given that in the rest of the time, the radio station plays dance music.
Hence, [tex]3.2\:\text{hours}[/tex] is spent playing dance music.
(-2,-5) on a graph. I really need to know.
Answers
Answer:
Step-by-step explanation:
The blue dot is where (-2,-5) is on a graph. Hope this helps!