Answer:
-4
Step-by-step explanation:
Using a number line can help solve this problem
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 1
To add a positive number to a negative one, we are going to move that number of spaces to the right (We are adding positive 3 to negative 7, so we are moving 3 spaces to the right)
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 1
^ We start here at negative 7
-10 -9 -8 <em>-7</em><em> </em>-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 1
^ ^ ^ Then move three to the right
-10 -9 -8 -7 -6 -5 <u>-4</u> -3 -2 -1 0 1 2 3 4 5 6 7 8 9 1
So -4 is our answer
Please reformat your question so that I can try to help.
Answer:
1
Step-by-step explanation:
cotA = length of the adjacent side ÷ length of the opposite side
2√2÷2√2 = 1
Answer:
3-(1/3)^4 = 242/81
Step-by-step explanation
to raise a fraction to a power, raise the numerator and denominator to that power. Making it 3-1/81
then calculate the difference, making your answer 242/81 (or 2 wholes and 80/81)
We are given the expression x³ - 2y² - 3x³ + z⁴. We have to evaluate it at a given set of x, y, and z values. Before then, let's combine like terms.
x³ - 2y² - 3x³ + z⁴
= -2x³ - 2y² + z⁴ <-- by combining like terms
Now we evaluate for x=3 y=5 z = -3
= -2(3³) - 2(5²) + (-3⁴) <-- by putting in for x, y, z
= -2(27) - 2(25) + 81 <--- parentheses and exponents first in order of operations
= -54 - 50 + 81 <---- multiplication is next
= -4 + 81
= 77
Thus, we evaluate and it's 77.
