Answer: 90°
Step-by-step explanation:
As known ∡EGC=(arcEC+arcDF)/2
arcEC+arcDF=70°*2
5x+10+11x+2=140
16x+12=140
16x=128
x=128:16
x=8
So arcDF=11*x+2=11*8+2=90°
The inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
<h3>How to determine the inverse relation?</h3>
The function is given as
f(x)=1/3x^2-3x+5
Start by rewriting the function in vertex form
f(x) = 1/3(x - 9/2)^2 -7/4
Rewrite the function as
y = 1/3(x - 9/2)^2 -7/4
Swap x and y
x = 1/3(y - 9/2)^2 -7/4
Add 7/4 to both sides
x + 7/4= 1/3(y - 9/2)^2
Multiply by 3
3x + 21/4= (y - 9/2)^2
Take the square roots
y - 9/2 = √(3x + 21/4)
This gives
y = 9/2 + √(3x + 21/4)
Hence, the inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
Read more about inverse functions at:
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The answer to this problem is 0.055%
And you get that by doing 22/400
Answer: RI 18,823.14
Step-by-step explanation:
I guess that we want to find the 12.6% of Rl 149,390
First, we assume that Rl 149,390 is the 100%
Then we can write an equation like:
Rl 149,390 = 100%
Then if the amount X is the 12.6%, we also have the equation:
X = 12.6%
Then we have the two equations:
X = 12.6%
Rl 149,390 = 100%
If we take the quotient between these two equations we get:
(X/Rl 149,390) = (12.6%/100%)
Solving this for X we get:
X = (12.6%/100%)*(Rl 149,390) = RI 18,823.14
Answer:
Step-by-step explanation:
y + 4 = 2(x - 2)
y + 4 = 2x - 4
y = 2x - 8