9514 1404 393
Answer:
y = 4x + 16
Step-by-step explanation:
You can replace the point coordinates in the given point-slope form to get ...
y - 32 = 4(x -4)
Then rearrange to put this into slope-intercept form.
y = 4x -16 +32 . . . . eliminate parentheses, add 32
y = 4x +16 . . . . . . . . simplify
= (1 - tan^2 (x)) / (1 + tan^2 (x))
= (1 - (-4/3)^2) / (1 + (-4/3)^2)
= (1 - (16/9)) / (1 + (16/9))
= (9 - 16) / (9 + 16) [By multiplying numerator and denominator with 9]
= (-7) / (25)
= -7/25
Answer:
<u>After factorizing the equation on the numerator, we simplify and the answer is: x + 2</u>
Step-by-step explanation:
1. Let's simplify the following expression:
x squared plus 3 x plus 2 over x plus 1
(x ² + 3x + 2) / (x + 1)
Now, we are going to factorize the numerator, this way:
(x + 2) (x + 1) / ( (x + 1)
x * x = x ²; 2x + x = 3x ; 2 * 1 = 2 ⇒ x² + 3x + 2
We simplify (x + 1) both in the numerator and in the denominator and we have:
<u>x + 2</u>