Answer:
Perpendicular Slope: 8/5
Parallel Slope: -5/8
Step-by-step explanation:
First, let's rewrite the line into slope intercept form.
-5x - 8y = 3
-8y = 5x + 3
y = -5x/8 + -3/8
Okay, so now we know the slope, -5/8, and the y-intercept, -3/8.
For a line to be perpendicular, the slope needs to be opposite of the given line's slope. This will cause the two lines to cross at a 90-degree angle, and therefore be perpendicular.
So a perpendicular line could be as follows:
y = 8x/5 + -3/8
So the perpendicular slope would be 8/5.
For a line to be parallel, the slope needs to be the same so that the two lines will never cross.
So a parallel line could be as follows:
y = -5x/8 + 1
So the parallel slope would be -5/8.
Cheers.
The answer is 25 because of the Pythagorean theorem. 49+576=625 625 squared=25
Answer:
12
Step-by-step explanation:
5^2 + x^2 = 13^2
x = 12
Answer:
w^2 + 13w + 39
Step-by-step explanation:
Multiplying Polynomials (FOIL- Firsts, Outs, Inners, Lasts)
(w+9) (w+4) Multiply- Firsts (w*w) Outs (w*4) Inners (9*w) Lasts (9*4)
w*w + w*4 + 9*w + 9*4 Multiply the FOIL
w^2 + 4w + 9w + 36 Combine like terms (same variables, numbers)
w^2 + 13w + 39
For this case we have the following fraction:
(1-cos ^ 2 (θ)) / (sin ^ 2 (θ))
We must take into account the following trigonometric identity:
cos ^ 2 (θ) + sin ^ 2 (θ) = 1
Therefore rewriting we have:
sin ^ 2 (θ) = 1 - cos ^ 2 (θ)
Substituting in the given fraction we have:
(1-cos ^ 2 (θ)) / (sin ^ 2 (θ))
= (sin ^ 2 (θ)) / (sin ^ 2 (θ))
= 1
Answer:
1