Answer: UW= 9√3
Step-by-step explanation:
This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.
The hypotenuse is 18. We can figure out the length of x.
2x=18
x=9
Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.
9√3
We can check our answer by using Pythagorean Theorem.
9²+(9√3)²=18²
81+243=18²
324=324
Since they are equal, we know we have the right answer.
The slope of the line of the equation given is -2 (by solving for y, you get y = -2x+4).
So, in order to be perpendicular, you must take the negative reciprocal.
The slope would be -1/2.
Answer:
x = 2
Step-by-step explanation:
Rearrange terms
Subtract from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
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where I got this
The equation in y = mx+b form is y = -450x+2745
where,
x = number of hours that have passed by
y = distance to destination in miles
The y intercept is 2745 since this is the initial starting y value, aka the starting distance. Therefore b = 2745.
The slope is -450 or -450/1 since for each hour, the distance goes down by 450. You can think of it as
slope = (change in y)/(change in x)
slope = (change in distance)/(change in time)
slope = (-450 miles)/(1 hour)
slope = -450
Answer:
T^75
Step-by-step explanation:
3 times 5 = 15
5 times 15 = 75
