Hey there!
First, let's look at what perpendicular means. Imagine a cross, where there's all 90 degree angles. That's exactly what we're talking about when we say perpendicular. The given equation is in slope-intercept form, where we have:
y = mx + b
where m is the slope and b is the y-intercept.
When we're writing an equation with a perpendicular slope, we use the negative reciprocal of the given slope. Thus, we can make 0.3 1/3, and take the reciprocal to make 3, and make it negative 3 as it's the negative reciprocal. Now, we know we have a line with the slope of -3 and goes through (-3, 8). We can use the x and y values in this set of points, along with the slope, to create an equation to solve for b. That gives us:
8 = -3(-3) + b
8 = -9 + b
17 = b
Now, since we have slope and y-intercept, we can write our equation as:
y = -3x + 17
Hope this helps!
9514 1404 393
Answer:
-1 is in the domain of fºg
Step-by-step explanation:
Both functions are odd-degree polynomials (as written here), so both functions have a domain and range of "all real numbers."
-1 is in the domain of f(g(x))
Answer:
<em>Good Luck!</em>
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Step-by-step explanation:
Answer:
20
Step-by-step explanation:
10 percent = 2 (for this problem anyways)
So the remaining amount is 8, which leaves us with 12.
Answer:
Im going to use the Pythagorean theorem.
a^2+b^2=c^2
Line AB is A, line CB is B, and line AC is C.
4^2+2^2=c^2
4^2=16 and 2^2=4
16+4=20^2=4.5
4.5 shoudl be your answer.
-Seth
