General equation of a circle with centre (h, k) is given by:
Now, the origin is the centre and radius is 20, so substituting these points in yields:
Answer:
Step-by-step explanation:
first work what's in the brackets { 4 x 2 -10}^3
{4 x 2-1000}
4 x -998
Answer:
( x )² + ( y - 3 )² = 16
Step-by-step explanation:
The general format for circular equations is ( x - a )² + ( y - b )² = r²
Answer:
x = 1
Step-by-step explanation:
The two angles, ∠HGI & ∠IGF, when combined, will result in ∠HGF.
Note:
m∠IGF = 135x
m∠HGI = 26x
m∠HGF = 161°
Set the equation:
m∠IGF + m∠HGI = m∠HGF
Plug in the corresponding terms to the corresponding variables:
135x + 26x = 161
Combine like terms:
(135x + 26x) = 161
161x = 161
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 161 from both sides:
(161x)/161 = (161)/161
x = 1
1 is your answer.
~
x = 161/161 = 1
So much stuff at once...
I'm only going to give you the information needed to do this.
All of these involve the 4 main exponent laws.
1) Multiplying.
When you multiply two 'numbers' that share the same base, you add exponents and keep the base the same. (ex. 4g²(4g⁴) = 4g²⁺⁴ = 4g⁶)
2) Dividing.
When you divide two 'numbers' that share the same base, you subtract exponents and keep the base the same. (ex. 3a⁷ / 3a⁴ = 3a⁷⁻³ = 3a³)
3) To the power of 1.
Anything to the power of 1 is the same. (ex. 5a¹ = 5a)
4) To the power of 0.
Anything to the power of 0 = 1. (ex. 2d⁰ = 2(1) = 2)
This should help.
