Answer:
1/2
Step-by-step explanation:
For each two units that this line moves to the right, it rises one. This means that it has a slope of 1/2. Hope this helps!
There are 12 tickets needed. Just add all the 4's together.
Answer:
In 10 seconds, the garden hose will emit 15 quarts of water.
Step-by-step explanation:
The amount of water emitted by the garden hose over time can be expressed as a ratio: 9/6, or 9 quarts of water for every 6 seconds of time. We can then simplify this ratio to 3/2, or 3 quarts of water for every 2 seconds of time. Since the ratio will remain constant, or the same, over time, we can set up an equivalent ratio, or fraction to find the amount of water emitted in 10 seconds: 3/2 = x/10. We look at the denominators and see that 2 x 5 = 10. In order to make the ratios equivalent, we would also multiply the numerator by 5: 3 x 5 = 15, which gives us the amount of water emitted in 10 seconds.
Answer:
see explanation
Step-by-step explanation:
Using
= i, then i² = (
)² = - 1
and i³ = i² × i = - 1 × i = - i
also
= i² × i² = - 1 × - 1 = 1
We can surmise that i raised to any multiple of 4 will equal 1
Given
( note 35 = 32 + 3 and 32 is a multiple of 4 ), thus
= 
= 1 × i³ = - i
The slope of the line parallel to I is 1/2