Right triangle = Pythagoras theorem.
a^2+b^2=c^2
there's already c and b so
10^2-8^2=a^2
100-64= 36
a^2=36
square root both sides
to get 6.
Answer: * = 36x^2
Note: Im guessing you're here for rsm struggles. That's how I found this question. I searched the web for the answer to this rsm problem, but I couldnt find it. I was happy to find this brainly link, but annoyed to find it was unanswered. I did the problem, and now i'll help future rsm strugglers out. Thanks for posting this question.
Step-by-step explanation:
Ok, so we know that trinomials like this are squares of binomials. this in mind, we know that it can also be written as (x+y)^2. (also brainly's exponents feature used to be better, if the exponents are confusing you, comment.) Using the (x+y)^2 equation, you know that by simplifying it, you get x^2+2xy+y^2. Basically we're looking for x^2. Using the middle term, 2xy, or 12x in this equation, we can find x. since we know the square root of 1 is 1, we know 12=2x. This is kinda confusing, but basically since the answer is 6, we know that the x-term is 6x. We square 6x and get 36x^2. guaranteed to work on the rsm student portal, i'm in rsm and i just answered this question.
Hope this helps! Also, im not usually too active on brainly unless im looking for HW answers, so if you understand this explanation and you see a confused comment, help out a friend and answer it. Happy holidays!
Answer:
y > (1/3)x - 3.
Step-by-step explanation:
The graph of a line can be written in y = mx + b form where b is the y-intercept and m is the slope.
In the image, the slope of the graph from the given points is 1/3.
In the image, the y-intercept is -3.
Therefore, the line is y = (1/3)x -3. However, we aren’t done yet! This is an inequality, not an equation!
We see the line isn’t dotted, so that means it must be > or <.
We substitute the point (0,0) into the line equation we got and find that 0 > (1/3)(0) - 3 = -3. Since (0,0) is part of the inequality, we have that y > (1/3)x - 3.
I hope this helps! :)
Answer:
Step-by-step explanation:
Given the function: 
f(x) =number of days it would take to complete the project
x =number of full-time workers.
The domain of a function is the complete set of possible values of the independent variable.
In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.
Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).
Tan(θ) = 3 tan(θ), 0° ≤ θ ≤ 360°
Solve for θ to the nearest degree.
tan(θ) = 3 tan(θ)
Subtract tan(θ) from both sides:
0 = 2 tan(θ)
Divide by 2 both sides:
tan(θ) = 0
If (x,y) is a point on the terminal ray of θ,
then tan(θ) = y/x = 0, and y = 0.
y = 0 ==> θ = 0°, 180°, or 360° in the interval 0° ≤ θ ≤ 360°.
