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HACTEHA [7]
3 years ago
8

Given the equation (x−13)2+y2=64, identify the center and radius. Do not enter any spaces when typing your answers.

Mathematics
1 answer:
Darya [45]3 years ago
3 0

Answer:

centre = (13,0)

radius = 8

Step-by-step explanation:

The standard equation of the circle is

(x-x0)^2 + (y-y0)^2 = r^2 ...............(1)

where

(x0,y0) is the centre,

r is the radius.

For

(x-13)^2 + y^2 = 64  ..............(2)

we rewrite (2)

(x-13)^2 + (y-0)^2 = 8^2 ...............(3)

and compare (3) with (1)

to identify

x0 = 13, y0 = 0, and r = 8

Therefore

centre = (13,0)

radius = 8

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cluponka [151]

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write the first three terms in the following sequences. Identify them as arithmetic or geometric
vaieri [72.5K]

Answer:

A(1)=9

A(2)=4

A(3)=-1

Arithmetic sequence

Step-by-step explanation:

We are given that

A(n+1)=A(n)-5 \;for\;n\geq 1 A(1)=9

We have to find first three terms and identify the sequence is geometric or arithmetic.

Substitute n=1

Then, we get

A(2)=A(1)-5=9-5=4

For n=2

A(3)=A(2)-5=4-5=-1

For n=3

A(4)=-1-5=-6

d_1=A_2-A_1=4-9=-5

d_2=A_3-A_2=-1-4=-5

d_3=A_4-A_3=-6+1=-5

d_1=d_2=d_3=-5

When the difference of consecutive terms are constant then the sequence is arithmetic sequence.

Therefore, given sequence is arithmetic sequence.

8 0
3 years ago
The value of y varies directly with x. When y = 75, 7 = 1. What is the value of y when x is 272
kow [346]
I’m assuming that 7 means x, and honestly all you have to do is multiply. x= 1 , y= 75.. so just multiply 75 and 272. The answer is 20,400.
8 0
3 years ago
Triangle abc (a- 12cm b- 6cm) is similar to ayz, whats the value of x​
GrogVix [38]

Answer:

26cm

Step-by-step explanation: we want a triangle with shorter sides (smaller perimeter) and we got 2 similar triangles , since triangles are similar the corresponding sides would be in ratio.

To get triangle of shorter perimeter we have to use the longest side of

△

A

B

C

put 6cm side corresponding to 12cm side.

Let

△

A

B

C

~

△

D

E

F

6cm side corresponding to 12 cm side .

therefore,

A

B

D

E

=

B

C

E

F

=

C

A

F

D

=

1

2

So the perimeter of ABC is half of the perimeter of DEF .

perimeter of DEF =

2

×

(

3

+

4

+

6

)

=

2

×

13

=

26

c

m

answer 26 cm.

3 0
3 years ago
HELP GEOMETRY!!!!!! The newest feature at the Great Park is the big orange balloon. The volume of this perfectly spherical ballo
WITCHER [35]

Answer: 8.3 ft

Step-by-step explanation:

Here, The volume of this perfectly spherical balloon is approximately 2361.7 cubic feet.

Since, the volume of a sphere, V= \frac{4}{3} \pi r^3

Where r is the radius of the sphere.

Here V= 2361.7 cubic feet

Therefore, 2361.7=\frac{4}{3} \pi r^3

⇒ r^3= \frac{21\times 2361.7}{88}

⇒r= 563.5875^{1/3}=8.2601344693≈8.3 feet

Thus, the radius of the sphere = 8.3 feet




7 0
3 years ago
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