Adding fractions:
Lets say you have two fractions like 1/2 and 1/3. To add them, you have to make the denominator the same. So we find the least common multiple of 2 and 3, which is 6, so we multiple 1/2 by 3/3 so we have 3/6 without changing the value, and we multiple 1/3 by 2/2 to have 2/6. Then we add the numerators and have 5/6.
Subtraction fractions:
Same thing as adding, just subtracting instead.
Both need to make sure you have the same denominator.
Multiplying fractions:
This is the most simple. All you do is multiply the numerators and the denominators. So if you have 5/6 and 3/4, you multiply the numerators to have 15, the denominators to have 24, and so you have 15/24, simplified to 5/8.
Dividing fractions:
If you have 5/6 divided by 3/4, you flip the 3/4 to 4/3, and you multiply that with 5/6.
Answer:
2√5
Step-by-step explanation:
The Pythagorean theorem tells you how to find the distance from the origin.
d = √((-2)² +4²) = √20 = 2√5
The vector's magnitude is 2√5 ≈ 4.47214.
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Answer:
6 3/11
Step-by-step explanation:
Subtract the whole numbers: 10 - 4 = 6
Subtract the fractions: 5/11 - 2/11 = 3/11
10 5/11 - 4 2/11 = 6 3/11
Answer:
Step-by-step explanation:
Given: The snow started melting at a rate of 0.75 inches per hour and it is known that 4 hours after the storm ended, after the storm ended, the depth of snow was down to 9 inches.
Snow melted in 4 hours = 
Initial depth of snow = 9 + 3 inches = 12 inches.
Now, depth of snow on Tristan's lawn = Initial depth -0.75(Number of hours)
Let S(t) be the depth of snow on Tristan's lawn, in inches, t hours after the snow stopped falling.
Then,
