Answer:
Step-by-step explanation:
The rule to know and follow is:
You can add, subtract, multiply or divide by anything so long as the same thing is done to both sides of the equals sign;
5a + b = 14
If we want to get: "a = ...", then we use the rule to isolate the variable a on one side of the equation;
Firstly, we subtract b from both sides:
5a + b - b = 14 - b
5a = 14 - b
Then, divide both sides by 5:
Answer:
-6
Step-by-step explanation:
6a - 5 = 7 + 8a
6a - 8a = 7 + 5
-2a = 12
a = 12/-2
a = -6
Hope it helps:)
<span>The equation of a circle with center C=(h,k) and radius r is:
(x-h)^2+(y-k)^2=r^2
In this case the center is the point C=(a,b)=(h,k)→h=a, k=b, then:
(x-a)^2+(y-b)^2=r^2
We can apply the Pythagorean Theorem to find the distance between any point of the circle P=(x,y) and the Center C=(a,b). This distance must be equal to the radius of the circle:
A^2+B^2=C^2, where A and B are the legs of the triangle and C is the hypothenuse.
In this case, according with the figure: The legs of the triangle are:
A=x-a
B=y-b
And the hypothnuse C=r
Then replacing in the Pythagorean Theorem:
(x-a)^2+(y-b)^2=r^2
Equal to the equation of the circle </span>(x-a)^2+(y-b)^2=r^2
