Answer:
-19
Step-by-step explanation:
|19|=19
-1 * 19=-19
The answer to this question is C
Answer:
P = 0.05
Step-by-step explanation:
12 months * 30 days each = 360 days
From 306 days, we have to select 8 days = 360C8 ways(Total ways)
We want each days from different month. First, we have to select 8 month from 12 month = 12C8 ways
---By selecting 8 month, we will select a days from each month. That can be done in = 30C1 * 30C1 * .................30C1 (8 ways) [From a month with 30 days, we can select a day in 30C1 ways = 30 ways]
Therefore P = Number of ways of selecting each days from different month / Total number of ways
P = 12C8 * 30^8 / 360C8
P = 495 * 656100000000 / 6469697679132645
P = 0.0501985588982791
P = 0.05
Hence the probability that each day is from a different month is 0.05
Answer:
x=
−4y+32
9
Step-by-step explanation:
Let's solve for x.
y=
−9
4
x+8
Step 1: Flip the equation.
−9
4
x+8=y
Step 2: Add -8 to both sides.
−9
4
x+8+−8=y+−8
−9
4
x=y−8
Step 3: Divide both sides by (-9)/4.
−9
4
x
−9
4
=
y−8
−9
4
x=
−4y+32
9
I think this is the right answer.
In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to
tan θ =m, where m is the slope of the equation
In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.
<span>y-2x=7
y = 2x+7
dy/dx = 2 =m
So,
tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
