slope = 13
the slope of the tangent is f'( 4)
given f(x) = x² + 5x , then f'(x) = 2x + 5
and f'(4) = ( 2 × 4 ) + 5 = 13
Answer:
7.845 Hope this helps! :)
Step-by-step explanation:
Answer:
Step 1: x^2 + 8x + 15 + 1 = 0 + 1
Step 2: x^2 + 8x + 16 = 1
Step 3: (x + 4)^2 = 1
Step-by-step explanation:
You want the constant on the left to be the square of half the x-coefficient.
(8/2)^2 = 4^2 = 16
You already have a constant that is 15, so you need to add 1 to both sides of the equation. That is the <em>Step 1</em> shown here. <em>Step 2</em> is simplifying the result of <em>Step 1</em>. <em>Step 3</em> is rewriting the trinomial as the square of a binomial.
-6z = 72
Divide both sides by -6
-6z = 72
/-6 /-6
z = -12
9514 1404 393
Answer:
m = (5x -6)/(43y -4)
Step-by-step explanation:
Subtract 4m+6 to separate m-terms from other terms.
5x +4m -(4m +6) = 43my +6 -(4m +6)
5x -6 = 43my -4m
5x -6 = m(43y -4) . . . . factor out m
(5x -6)/(43y -4) = m . . . . divide by the coefficient of m
