Given:
The center of the circle = (-2,1).
Circle passes through the point (-5,3).
To find:
The equation of the circle.
Solution:
Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).
On further simplification, we get
The standard form of a circle is:
Where, (h,k) is the center of the circle and r is the radius of the circle.
Substitute h=-2, k=1 and .
Therefore, the equation of the circle is .
The area of a rectangle is length*width.
The length of this 3x and the width is 2x-3. This means that, to find the area, you need to multiply 3x and 2x-3.
Start by writing out this equation:
A=l*w
Then, plug in your given values:
A= 3x*2x-3 (you can also write it as A= 3*x*2*x-3)
Then, following the order of operations, you start by multiplying. This makes your equation become A = 6x^2 -3. (^2 means squared). It turns into this because 3 * 2 is 6 and x * x is x^2 and you still haven’t used the 3 yet.
After this, there is nothing more that you can do to simplify the equation. Therefore, the area is 6x^2 - 3.
I hope this helped!
Answer:
43cm
Step-by-step explanation:
96-10 (5 x2 sides)=86
86/2 sides=43 longest side
Answer:
1/12
Step-by-step explanation:
Okay, so this will be a compound probability question because there are two parts to the question.
Firstly, a die has 6 sides, and there is only one chance of getting a 1, so the probability would be 1/6.
Furthermore, there are 3 different even numbers on a 6-sided die, so that is 3/6, which can be simplified to 1/2.
Now, because this is a compound probability, we have to multiply 1/2 and 1/6 together, which would give us our answer of 1/12.
Answer: (7x + 1)(x + 7)
Step-by-step explanation:
