<span>The slope of the line is equal to (y - 7) / (x - 4)
Then we can set up this equation:
(y - 7) / (x - 4) = 3
y - 7 = 3 * (x - 4)
y - 7 = 3x - 12
y = 3x - 5
This is the equation of the line.</span>
Answer:
Correct answer: V₁ boat = 16 km/h and V₂ current = 4 km/h
Step-by-step explanation:
If we take speed (velocity) of the boat as V₁ and speed of the current V₂
Let us form equations:
Traveling down the current V₁ + V₂ = 60/3 = 20 km/h
Traveling against the current V₁ - V₂ = 60/5 = 12 km/h
V₁ - V₂ = 12
V₁ + V₂ = 20
If we add up the left and right sides of the equations we get:
2 V₁ = 32 => V₁ = 32/2 = 16 km/h
from the second equation we get:
V₂ = 20 - V₁ = 20 - 16 = 4 km/h
V₂ = 4 km/h
God is with you!!!
Answer: Option 1
<u>Step-by-step explanation:</u>
Option 1 has a greater area than option 2.
Answer:
Step-by-step explanation:
We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:
Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:
We multiply the denominator of the fraction by . multiplied by itself is simply 2. Try it! We also want to multiply the numerator by , but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:
Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.
We can plug 2 in for the x in the numerator now:
2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of 
Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)
Answer:
see below
Step-by-step explanation:
12 banana muffins, 10 chocolate muffins, 6 blueberry muffins, and 7 vanilla muffins.
The total number of muffins is 35 muffins
P(vanilla) = number of vanilla/ total
= 7/35
= 1/5
This is not likely to occur so it is an unlikely event
