Answer:
D. Y+5=-(1/2)*(x+3)
Step-by-step explanation:
Perpendicular Lines are those with the following condition:
y=a*x+b (1)
y=c*x+d (2)
Where 'a' and 'c' are the respective slope
If These two lines are perpendicular, then
a=- 1/c
Equation (1) for our case is written as y=2x-8, meaning that a=2 and b = -8
Using those principles we have that the slope for our needed line ('c') has to be -(1/2).
Now we most use the given point to find the remaining term of the equation (d) so, evaluate (-3,-5) in eq (2) to have this:
-5=(-1/2)*(-3)+d
resulting that d=-5-(3/2)
Eq (2) is written now as the following: y= (-1/2)*x - (5+3/2)
Rearranging terms, we have the following:
y+5=(-1/2)*x-(3/2)
where you can obtain a more pretty expression:
y+5=(-1/2)*(x+3)
We want our exponential function to look like
y = ab^x.
Let a = the initial y-value.
Our initial value is the first number given for f(x). So, a = 3.
Let b = the number that is needed to go from 3 to 6 to 12 to 24 to 48.
We find b by division.
So, b = the next number divided by the previous.
So, b = 6/3 = 2.
We now plug in our values into the general formula above.
y = ab^x
Answer: y = (3)(2)^x
Answer:
The answer is 0.268 or to be exact: 0.51768716422
Step-by-step explanation:
Since the square root of 0.268 is 0.268 itself, that is also a correct answer. If you're teacher wants you to find out the exact amount, it is 0.51768716422.
Cheers!
You must always use the order of operations also known as PEMDAS meaning multiplication and division come before adding and subtracting for example when solving 2+2÷2 if not follwing PEMDAS it is 2 When you do it the correct way using PEMDAS it will be 3
Answer:
V= 113.1
Step-by-step explanation:
V=4/3πr^3=4/3·π·3^3≈ 113.09734