What is the slope of the line that passes through the points (10, 3) and
1 answer:
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We are given the function:
g(n) =
We need to find what g(-3) equals.
What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3.
g(-3) =
Remember back to the order of operations.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent.
Negative exponents make fractions FLIP. So our fraction will look like this:
Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this:
)
We ARE NOT done! We still have this left:
g(-3) =
Multiplying by 3 you get the following:
So what does g(-3) equal? This right here:
g(n) =
We need to find what g(-3) equals.
What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3.
g(-3) =
Remember back to the order of operations.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent.
Negative exponents make fractions FLIP. So our fraction will look like this:
Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this:
We ARE NOT done! We still have this left:
g(-3) =
Multiplying by 3 you get the following:
So what does g(-3) equal? This right here:
Answer:
Step-by-step explanation:
The tunnel, the ground and the depth of the tunnel form a right angle triangle.
The length of the tunnel is the hypotenuse of the right triangle that has been formed.
Let the length of the tunnel be .
Using the sine ratio, we obtain;
The length of the opposite side is
We substitute the given values to obtain;
We cross multiply to obtain;
Therefore the correct answer is C.
Answer:
Step-by-step explanation:
The triangle is a 30-60-90 right triangle.
The ratio of the lengths of the sides is:
The order of the sides in the ratio above is
short leg : long leg : hypotenuse
The long leg is sqrt(3) times the length of the short leg.
The hypotenuse is twice the length of the short leg.