Answer:
The answer to your question is y = -5x + 32 point-slope form
5x + y - 32 = 0 general form
Step-by-step explanation:
Data
(8, -8)
⊥ x - 5y - 6 = 0
Process
1.- Get the slope of the line given
x - 5y - 6 = 0
-5y = -x + 6
y = -x/-5 + 6/-5
y = x/5 - 6/5
slope = 1/5
slope of the new line -5, because the lines are perpendicular
2.- Get the equation of the new line
y - y1 = m(x - x1)
y + 8 = -5(x - 8)
y + 8 = -5x + 40
y = -5x + 40 - 8
y = -5x + 32 point-slope form
Equal to zero to find the general form
5x + y - 32 = 0 general form
Answer: Add the equations to eliminate k
Step-by-step explanation:
Adding the equations, you get 2b=18, which you can solve for b. Afterward, you can substitute this value of b back into either equation to solve for k.
Answer:
c = 17
Step-by-step explanation:
Since this is a right angle triangle we can use the Pythagoras theorem that states that 
(where c is the Solve for hypotenuse and "a" and "b" are the legs of the right angle triangle). From here we know that the answer to this question is....
Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.
One for 5.8 and one for 1.2
Hope this helps
