<u>ANSWER</u>=<u>5.2</u>
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<u>EXPLANATION</u>
This triangle shows a example of the Pythagorean Theorem, which means the equation is gonna be
a^2+b^2=c^2
The variables <u>a </u>and <u>b </u>are the straight sides of the triangle, while the variable <u>c </u> is the curved side on the triangle, or what we are trying to find in this question.
Firstly let’s take the two sides that already have a number shown, also known in the Pythagorean Theorem as sides <u>a </u>and <u>b</u>.
2^2+4.8^2=c^2
Now we want to square the two given numbers to get the equation
4+23.04=c^2
Now we add the two given numbers that we have now squared to get the equation
27.04=c^2
The final step will now be to take the number (27.04) and square root it, which should give you the answer, <u>5.2</u>
The Equation is y=+5
Why:
You want to find the equation for a line that passes through the point (-4,5) and has a slope of .
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was . So you can right away fill in the equation for a line somewhat to read:
y=x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-4,5). When x of the line is -4, y of the line must be 5.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 0 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,5).
So, why not plug in for x the number -4 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-4,5). y=mx+b or 5=0 × -4+b, or solving for b: b=5-(0)(-4). b=5.
The trick here is to not use sin and cos at all.
The -13/15 is the x coordinate of a line from the origin to the unit circle (the line with angle theta). That happens to be the cos(theta).
The y coordinate is the sin(theta).
You can draw this as a triangle where x^2 + y^2 = 1.
So y = √(1 - (13/15)^2) ≈ 0.49889. But your exact answer should be:
<span>|5x + 10| = 10.............</span>
