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2 years ago

Write the equation of a circle whose center is at (-1,5) and radius is 8

Mathematics

1 answer:

labwork [276]2 years ago

6 0

Answer:

X²+y²+2x-10y+18=0 is the equation of circle

Step-by-step explanation:

Eqn of circle is: (x-h) ²+(y-k)²=r²

At (h, k) =(-1,5) and r=8 where h, k are center and r is radius.

Eqn is :(x+1)²+(y-5)²=8²

Or, x²+2x+1+y²-10y+25=8

Or, x²+y²+2x-10y+18=0 is the equation of circle

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How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?

MAVERICK [17]

Answer: The correct option is

(E) 70.

Step-by-step explanation: We are given to find the number of triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.

To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

$n_t=^7C_3=\dfrac{7!}{3!(7-3)!}=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}=35.$

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

$n_q=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.$

Therefore, the total number of triangles and quadrilaterals is

$n=n_t+n_q=35+35=70.$

Thus, option (E) is CORRECT.

8 0

3 years ago

Rename 3/4 and 9/10 using the least common denominator.

klio [65]

Answer:

15/20 and 18/20

Step-by-step explanation:

Least common denomintor of 3/4 and 9/10 = least common multiple of 4 and 10

multiples of 4: 4, 8, 12, 16, 20

multiples of 10: 10, 20

Least common denominator = 20

Rewrite fractions: 15/20 and 18/20

7 0

4 years ago

A 263 kg motorcycle moves with a velocity of 5 m/s. What is its kinetic energy? ______ joules

Andreyy89

$K.E= \frac{1}{2} mv^2$

K.E= Kinetic Engery
M=Mass
V=Velocity
m=263kg
v=5m/s

Plug the given info into the formula:
$K.E= \frac{1}{2} (263)(5)^2$

Final answer: <span>3287.5J </span>

7 0

3 years ago

Can I please get some help on this question ?

FrozenT [24]

Answer:

Step-by-step explanation:

I will help u if you help me????

7 0

3 years ago

Different ways to solve x+4=13

faltersainse [42]

One way is to move the 4 to other side so it would be x = 13 - 4 and that's x = 9

5 0

3 years ago