Circle A has center of (6, 7) and a radius of 4, and circle B has a center of (2, 4) and a radius of 16. What steps will help show that circle A is similar to circle B?
Translate circle A using the rule (x + 4, y + 3).
Rotate circle A 45° about the center.
Dilate circle A by a scale factor of 4.
Reflect circle A about the origin.
Answer:
c took quiz
Step-by-step explanation:
Circle A can be made similar to circle B by dilating circle A by scale factor 4.
Circles can be made similar by performing transformations such as dilations, translation, etc.
The given parameters are:
Circle A
[tex](x,y) = (6,7)[/tex] --- center
[tex]r=4[/tex] --- radius
Circle B
[tex](x,y) = (2,4)[/tex] --- center
[tex]r = 16[/tex] --- radius
To do this, we simply make both circles have the same radius.
Given that:
[tex]r_A=4[/tex] --- radius of A
[tex]r_B = 16[/tex] --- radius of B
Dilating the radius of A by 4 will make both circles have the same radius.
i.e.
[tex]R = r_A * 4[/tex]
[tex]R = 4 * 4[/tex]
[tex]R = 16[/tex]
Now, the new radius of A is 16; same as B
Both circles now have the same radius, means that the circles are similar.
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Graphing a linear inequality in the plane: Standard form
Answer:
attached
Step-by-step explanation:
draw line pass (-12,0) and (0,3), solution is the shaded part
Ben is playing a card game. The numbers of the cards in his hand are 2, 3, 4, 4, 5, 7, 9, and 10. Ben may only play one card at a time.
What is the probability the next card Ben plays will be an odd number?
343 fourths
121 half
383 eighths
14
Answer: Half
Step-by-step explanation:
x/5 - 12 = -8 equals what
A (1,4) B (-2,3) C (-4,5) 3 units right 4 units down
Step-by-step explanation:
can you send a picture so we can see at least?
The ratio of girls to boys is 8 girls to 4 boys.
If there are 4 girls, how many boys are there?
Answer:
4
Step-by-step explanation:
Can somebody plz help answer these word prob questions plz thanks! (Grade7math( btw :)
WILL MARK BRAINLIEST WHOEVER ANSWER FIRST :DDD
Answer:
3:1
8:5
Step-by-step explanation:
Write an expression for the total amount Carla has paid after a certain number of months
Answer:
$25.00+$36.00m
Step-by-step explanation:
Suppose you are driving. You notice that after driving for 4 hours, you are 135 miles from Seattle. You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. What is your rate? How far do you drive every 9 hours? How far from Seattle are you after driving for 17 hours?
Answer:
1,423
Step-by-step explanation:
Your average rate is 36.7 miles per hour over nine hours
What is Average speed?Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
In the first 4 hours, you've averaged 33.75 miles per hour, but this is apparently not sustainable, since at 9 hours you've only averaged 36.7 miles/hour.
You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. you've averaged 31.8 miles per hour
So the answer is that your average rate is 36.7 miles per hour over nine hours, although you did manage a faster burst of 50 mph for four hours once.
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#SPJ2
(9x - 18)°
find the value of x
Answer:
x=2
Step-by-step explanation:
Please help thank you
Answer:
x=25
Step-by-step explanation:
180-113=67
67-42 = 25
I NEED HELP!!!!
Physical therapists measure strength on a dynamometer, which uses a unit called a foot-pound. Suppose you increase the strength in your elbow joint from 90 foot-pounds to 125 foot-pounds. Find the percent of increase to the nearest percent.
A.
39%
B.
138.9%
C.
28%
Answer:
A. 39%
Step-by-step explanation:
(125-90)/(90)=(35)/(90)=0.3889 or 39%
To find the percent increase, we need to divide the amount of change by the original amount.
It’s really easy but I don’t know the steps can someone help?
Answer:
x=0
Step-by-step explanation:
1/2(40+2x)=20
20+x=20
x=0
(I believe that s is the bisector, please correct me if I am wrong)
Find the percent of change. Round to the nearest tenth, if necessary.
In the 2006 season, Tom Brady threw for 3,529 yards. In the 2007 season, he threw for 2,806 yards.
Answer:
20.487%
Step-by-step explanation:
divide the second number by the first. then do one minus that number
What is the complete factorization of x^2 + 2x − 63?
A. (x + 21)(x − 3)
B. (x − 9)(x + 7)
C. (x + 9)(x − 7)
D. (x − 21)(x + 3)
Answer:
C. (x+9)(x-7)
Step-by-step explanation:
(x*x)=x^2
(9*x)=9x
(-7*x)= -7x
(9*-7)= -63
x^2+9x-7x-63 = x^2+2x-63
Trigonometry
Pls help
Molly's hair was 20 inches long. Three years later it was 53 inches long. What was the percent increase, to the nearest hundredth, of Molly's hair length.
Find how much it grew:
53 - 20 = 33 inches.
Divide the amount it grew by the original length
33/20 = 1.65
Subtract 1:
1.65 - 1 = 0.65
Multiply by 100 for percent:
0.65 x 100 = 65%
The percent increase is 65%
56 cm
42 cm
What is the length of the hypotenuse?
C=
centimeters
Answer:
70
Step-by-step explanation:
56*56 = 3136
42*42 = 1764
3136+1764 = 4900
4900 squared is 70
Help me for brainlist please
Answer:
C 80in^2
Step-by-step explanation:
Multiply 12*3*2 for the area of both sides of the H to get 72
For the middle multiply 2*4 to get 8
72+8=80
A school band consists of 45 boys and 50 girls of total number of boy 18 play the drums what percent of boys in the band play the drums
Two snakes race the speed of the first is 24 1/2 inches per minute and the speed of the other is 26 inches per minute how far apart with they be in 3 min? 10 min?
Answer:
637, 245
Step-by-step explanation:
Speed is the rate of change in the position of an object. The distance between the two snakes after 10 mins is 15 inches.
What is the relation between speed, distance, and Time?We know that sped, distance, and time all are in a relationship to each other. this relationship can be given as,
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
Given to us
Two snakes race The speed of the first is 24 1/2 inches per minute The speed of the other is 26 inches per minute What is the distance between them after 3 mins?The relative speed between them, as they are moving in the same direction, therefore,
Relative speed = (26-24.5) = 1.5 inches per minute
[tex]\text{Distance between them after 3 mins}= \rm speed \times \rm time[/tex]
[tex]= 1.5 \times 3\ mins\\= 4.5\ inches[/tex]
Thus, the distance between the two snakes after 3 mins is 4.5 inches.
What is the distance between them after 10 mins?The relative speed between them, as they are moving in the same direction, therefore,
Relative speed = (26-24.5) = 1.5 inches per minute
[tex]\text{Distance between them after 10 mins}= \rm speed \times \rm time[/tex]
[tex]= 1.5 \times 10\ mins\\= 15\ inches[/tex]
Thus, the distance between the two snakes after 10 mins is 15 inches.
Learn more about Speed, distance, and Time:
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Determine the value of 3p if p =
6
Answer:
18
Step-by-step explanation:
Find x.
x = 4
x = 5
x = 6
Answer:
Given triangles are similar
[tex] \frac{9}{6} = \frac{x}{4} \\\frac{3}{2} = \frac{x}{4} \\ x = \frac{(3 \times 4)}{2} \\ \boxed{x = 6}[/tex]
Value of x is 6.