Answer:
The equation of the circle having centre (-5,-9) and radius r=3 is
x² + 10 x +y² + 14 y + 65 = 0
Step-by-step explanation:
<u>Explanation</u>:-
From graph The centre of the circle C( -5 , -7)
The radius of the circle r = 3cm from the centre of the given circle
The equation of the circle
From graph the centre ( h, k) = ( -5,-7) and r = 3cm
x² + 10 x +25 +y² + 14 y + 49 =9
x² + 10 x +25 +y² + 14 y + 49 -9=0
The equation of the circle
x² + 10 x +y² + 14 y + 65 = 0
I believe the answer would be c!
Answr 2.(1.3)^x
Step-by-step explanation:
Answer:
In order to understand exponential equations with a whole number and a fraction, we have to revisit the definition.
Exponentiation is just repeated multiplication. For instance, if we have 2^3, we can see that 2 * 2 * 2 = 8. The number keeps getting bigger.
Likewise, if we have (1/2)^3, 1/2 * 1/2 * 1/2 = 1/8. The number keeps getting smaller. Notice a pattern?
When we have a number greater than 1 as a base in an exponential function, the number keeps growing. This is called exponential growth.
In contrast, whenever we have a number less than 1 as a base (i.e. a fraction), the number keeps getting smaller. This is called exponential decay.
Hope this helps.
Answer:
y=4x-3
Step-by-step explanation:
Find the slope for your equation by calculating the change in y over change in x ∆y/∆x or (y2-y1)/(x2-x1)
13-5=8
4-2=2
8/2=4
We now need to use one of these coordinates to finish the equation y=4x+b
5=4(2)+b
5=8+b
b=-3
Now we rewrite our equation in slope int form as y=4x-3
You can check your work by using the other coordinate (4, 13) and see the equation balances.