Answer:
Step-by-step explanation:
y + 2 = 12(x - 3)
y + 2 = 12x - 36
y =12x - 38
The question is asking for the circumference
The equation for circumference is C=2(Pi)r<span>
</span>to find the radius, half the diameter 4/2=2
the equation is now C=2(Pi)2<span>
simplify the equation...
C=4(Pi)
Pi is </span>3.1415926535897932384626433832795
Now multiply 3.1415926535897932384626433832795 times 4 = 12.566370614359172953850573533118
Round to nearest tenth...
12.6 mi
Answer:
(4,4)
Step-by-step explanation:
y = 2x - 4 -------eqn 1
4y = x + 12 ------eqn 2
From eqn 1 y = 2x - 4; insert in eqn 2
4 (2x-4) = x + 12 (open the bracket)
8x - 16 = x + 12 (taking like figures to the same side, sign changes)
8x - x = 12 + 16
7x = 28
x = 28/7
x = 4
From eqn 1
y = 2x - 4
y = 2(4) - 4
y = 8 - 4
y = 4
(x,y) = (4,4)
We see that in these 3 terms, 6 is a common factor. So, let's factor out a 6:
We can set this equal to 0 and factor by using the quadratic formula which is:
So, let's do just that:
Note that the 6 goes away if you divide both sides by 6. In this case, a = 1, b = -1, and c = -2. Let's plug that into the quadratic equation:
So, we can write this as:
Notice that the 6 comes back because it was only temporarily mad. And that the roots have opposite signs in the parentheses because to find the roots, you need to set each parentheses equal to 0 and solve for n. With that in mind, your final answer is 6(n-1)(n+2). Hope I could help you!
Answer:
f(1)=16
Step-by-step explanation:
f(t)=-16t+32t
f(1)=-16(1)+32(1)
f(1)=-16+32
f(1)=16
