First, let's turn this sentence into a mathematical expression:
The quotient of the opposite of 30 and 6 means we're dividing negative 30 by 6. The next part, "plus the opposite of 8" means we want to add -8 to whatever we get from -30/6. So we have:
Answer:
2i
Step-by-step explanation:
you have a positive and a negative. if -2i is the negative then you need the positive which is 2i.
Answer:
240
Step-by-step explanation:
To evaluate 19^2 - 11^2, we have to use a special product pattern. Since this expression is in the form a^2 - b^2, we use the pattern (a + b)(a - b).
Therefore, the answer is 240.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
We have this equation:
First, combine both logarithms using the multiplication property and simplify the expression.
Now, use the definition of logarithm to transform the equation.
Finally, use the quadratic formula to solve the equation.
With this, we can say that the solution set is:
We cannot choose x = -100 as a solution because we cannot have a negative logarithm. The only solution is x = 1.
Answer:
32 inches
Step-by-step explanation:
Assuming 76 inches is perimeter, we'll say that w is width
Length = 5w + 2
Perimeter = w + w + (5w+2) + (5w+2) = 76 inches
12w + 4 = 76
Subtract 4 on both sides
12w = 72
Divide 12 on both sides
w = 6
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If the width is 6, then 5w + 2 = 5(6) + 2 = 30 + 2 = 32
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Width - 6 inches
Length - 32 inches
Perimeter - 76 inches