For this case we must simplify the following expression:
![(\frac {3} {4} + \frac {4} {5} i) - (\frac {1} {2} - \frac {3} {10} i) =](https://tex.z-dn.net/?f=%28%5Cfrac%20%7B3%7D%20%7B4%7D%20%2B%20%5Cfrac%20%7B4%7D%20%7B5%7D%20i%29%20-%20%28%5Cfrac%20%7B1%7D%20%7B2%7D%20-%20%5Cfrac%20%7B3%7D%20%7B10%7D%20i%29%20%3D)
By law of multiplication signs we have to:
![- * + = -\\- * - = +\\\frac {3} {4} + \frac {4} {5} i- \frac {1} {2} + \frac {3} {10} i =](https://tex.z-dn.net/?f=-%20%2A%20%2B%20%3D%20-%5C%5C-%20%2A%20-%20%3D%20%2B%5C%5C%5Cfrac%20%7B3%7D%20%7B4%7D%20%2B%20%5Cfrac%20%7B4%7D%20%7B5%7D%20i-%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%2B%20%5Cfrac%20%7B3%7D%20%7B10%7D%20i%20%3D)
We add similar terms:
![\frac {3} {4} - \frac {1} {2} + \frac {4} {5} i + \frac {3} {10} i =\\\frac {3 * 2-4 * 1} {4 * 2} + \frac {4 * 10 + 5 * 3} {10 * 5} i =\\\frac {2} {8} + \frac {55} {50} i =](https://tex.z-dn.net/?f=%5Cfrac%20%7B3%7D%20%7B4%7D%20-%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%2B%20%5Cfrac%20%7B4%7D%20%7B5%7D%20i%20%2B%20%5Cfrac%20%7B3%7D%20%7B10%7D%20i%20%3D%5C%5C%5Cfrac%20%7B3%20%2A%202-4%20%2A%201%7D%20%7B4%20%2A%202%7D%20%2B%20%5Cfrac%20%7B4%20%2A%2010%20%2B%205%20%2A%203%7D%20%7B10%20%2A%205%7D%20i%20%3D%5C%5C%5Cfrac%20%7B2%7D%20%7B8%7D%20%2B%20%5Cfrac%20%7B55%7D%20%7B50%7D%20i%20%3D)
We simplify:
![\frac{1}{4}+\frac{11}{10}i](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B11%7D%7B10%7Di)
Answer:
![\frac{1}{4}+\frac{11}{10}i](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B11%7D%7B10%7Di)
In order to solve this kind of problem, we must find the difference between two negative numbers describing elevation. Although when you have 2 negative numbers in a subtraction-elevation problem, the elevation difference won't be negative... It would be positive. -56 - (-14) would usually equal -42 feet but that would just describe a regular negative subtraction problem, so it becomes 42 feet. This answer is positive since it describe the distance between these integers.
Answer:
-8
Step-by-step explanation:
Use the formula for mid term and equate it with the mid points
Answer:
x 2 y -4
Step-by-step explanation:
13x = -54 -20y give it is A
-10x = 60 + 20y give it is B
A + B the sum of the left side of equation is equal to the sum of the right side of equation
13 + (-10x) = -54 -20y + 60 + 20y
3x = 60-54
3x = 6
x=2
so put the x value in A or B equation you can receive y value (B is easier)
y = -4
Answer:
True
Step-by-step explanation:
We use definitions to help us in this problem. The definition of an integer is a whole number that is not a fraction or has any fractional value. This definition includes all whole numbers, so we know that all whole numbers can be classified as integers. That's one condition done. The definition of a rational number is a number that can be written as a fraction. All whole numbers can be written as a fraction (i.e. 12/1, -3/1, 10000/1). This means that all whole numbers are also rational numbers, giving us our final answer of True.
FINAL ANSWER: True