Important: If you're discussing squares, please express "the square of x" as x^2 (not as x2).
Please note that your y=x^2+3 is NOT a line. I will assume (probably incorrectly!) that you meant y=2x+3. The slope of this line is 2, so the slope of any line perpendicular to y=2x+3 is -1/2.
Now use the point-slope equation of a straight line:
y-8 = (-1/2)(x-1) (answer)
Answer:
The parametric equations for the tangent line are
:
x = Cos(10) - t×Sin(10)
y = Sin(10) + t×Cos(10)
z = 20 + 2t
Step-by-step explanation:
When Z=20:
Z=2t=20 ⇒ t=10
The point of tangency is:
r(10)= Cos(10) i + Sin(10) j + 20 k
We have to find the derivative of r(t) to get the tangent line:
r'(t)= -Sin(t) i + Cos(t) j + 2 k
The direction vector at t=10 is:
r'(10)= -Sin(10) i + Cos(10) j + 2 k
So, the equation of the tangent line is given by:
x = cos 10 -t×Sin(10)
y = sin 10 + t×Cos(10)
z = 20 + 2t
Answer:
Option D is the correct answer.
Step-by-step explanation:
Coefficients od dividend = (4, - 17, - 15)
Dividend 
Divisor x = 5 =>x-5= 0
Coefficients of Quotient = (4, 3)
Quotient 
Remainder = 0
Since,
Answer should be <span>Both Fred's and Victoria's proofs are correct.</span>
Answer:
Your answer would be (x-4)
Step-by-step explanation:
If you follow the steps of factoring, first you need to set it up. I always start with the term with the variable first.
(x+_)(x+_)
And since we already know one of the factors, we can put that in our expression.
(x+6)(x+_)
Now remember the trick FOIL.
You multiply the FIRSTS together, then the OUTSIDES, then the INSIDES, and finally the LASTS.
To figure out our last blank we us this trick, but backwards. To get the 24 at the end of your expression x^2+2x-24 you multiply the LASTS together. So 6*_=-24. (remember the subtraction sign stays as a negative with the 24) That answer is -4
Hope that makes sense, and good luck!
