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KiRa [710]
2 years ago
6

which of the following correctly gives the center and radius of the circle defined by the equation (z-7)^2 = 10?

Mathematics
1 answer:
ANEK [815]2 years ago
5 0

Answer:

Center (7,2); Radius - Square Root of 10

Step-by-step explanation:

Equation for a Cricle:

(x−h)^2 + (y−k)^2 = r^2

Where:

h = x-coordinate of the center of the circle

k = y-coordinate of the center of the circle

r = radius of the circle

For this problem, your h = 7, k = 2, and r = square root of 10

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Are the associative properties true for all integers
Ymorist [56]
Associative property works in addition and multiplication.
Associative property in Addition: (a + b)+ c = a + (b + c)
Associative property in Multiplication: (a x b) x c = a x (b x c)
Associative property in Subtraction: (a - b) - c is not equal to a - (b - c)
Associative property in Division: (a divided by b) divided by c is not equal to a divided by (b divided by c).
Thus, associative property is not true for all integers.
3 0
3 years ago
find the equation for the line that passes through the point (5, 2), and that is parallel to the line with the equation x=-4
BabaBlast [244]
Y-y1=m(x-x1)
y-2=-4(x-5)
y-2=-4x+20
y-2+2=-4x+20+2
y=-4x+22
6 0
3 years ago
PLEASEEEE EHELP ILL MARK BRANILIZES
horsena [70]

Answer:

Below

Step-by-step explanation:

First, find the difference. You would do

-19 - (-9) = -10

-9 - 1 = -10 and so on...

The difference is -10

Now you need to find what number will make 11 when added to -10.

11 - (-10) = 21

The equation:

y = -10x + 21

8 0
3 years ago
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.
Vesna [10]

Answer:

b. an = 2 • (-3)^(n - 1)

Step-by-step explanation:

Before we test a solution or two, we can easily discard most of them.

We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign).  <u>That already excludes answers A and C.</u>

Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.

We can test both D and B with n = 2, to obtain -6

Let's test answer D before:

a_{2} = 2 * (-3)^{2+1} =  2 * (-3)^{3} = 2 * -27 = -54

The result is -54, not -6... so it's not the right result.

Let's test answer B then:

a_{2} = 2 * (-3)^{2-1} =  2 * (-3)^{1} = 2 * -3 = -6

Right!  Let's verify with n=5 to get 162:

a_{5} = 2 * (-3)^{5-1} =  2 * (-3)^{4} = 2 * 81 = 162

Confirmed, answer is B. an = 2 • (-3)^(n - 1)

3 0
3 years ago
Which natural phenomenon is the best example of periodic behavior?
aleksandr82 [10.1K]

Answer:

B.The high temperature for a given city.

5 0
2 years ago
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