Answer:
f(-2) = +2
Step-by-step explanation:
Let x = -2
So,
f(x) = 4x + 10
Substituting the value of x gives ,
f(-2) = 4 × (-2) + 10 = 10 - 8 = 2
Answer:
1) at ( 0,0) : y = x/2. at(-3-1) : y = -1. at(-3,3) : y = 2x +9
2) DNE ( does not exist )
Step-by-step explanation:
The general equation of tangent line
y - y1 = m( x - x1 )
attached below is the detailed solution on how i derived the answers above
Answer:
a:b = 2
Step-by-step explanation:
Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).
We have:
2a−b/6 = b/3
Lets sum b/6 in both sides:
2a−b/6 + b/6 = b/3 + b/6
2a = b/3 + b/6
Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:
2a = b/3*(2/2) + b/6
2a = 2b/6 + b/6
2a = 3b/6
2a = b/2, as 3/6 = 1/2
Now lets divide both sides by b to make an a/b appear:
2a/b = (b/2)/b
2a/b = 1/2
Finally, multiply both sides by (1/2) or divide by 2:
(2a/b)/2 = 2
a/b = 2
This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.
So the formula for the circumference of a circle is π x diameter
Since we know the the circumference already, we just divide that by π:
12π / π = 12
Now we halve the diameter to get the radius:
12 / 2 = 6
The area of a circle is π x radius²
So the area is:
·π x 6² = 36π· (or 113 not in terms of π)