Answer
SSS <span>Similarity </span><span>Postulate
hope it helps</span>
Step 1: Find f'(x):
f'(x) = -6x^2 + 6x
Step 2: Evaluate f'(2) to find the slope of the tangent line at x=2:
f'(2) = -6(2)^2 + 6(2) = -24 + 12 = -12
Step 3: Find f(2), so you have a point on y=f(x):
f(2) = -2·(2)^3 + 3·(2)^2 = -16 + 12 = -4
So, you have the point (2,-4) and the slope of -12.
Step 4: Find the equation of your tangent line:
Using point-slope form you'd have: y + 4 = -12 (x - 2)
That is the equation of the tangent line.
If your teacher is picky and wants slope-intercept, solve that for y to get:
y = -12 x + 20
The diagram of the ladder leaning on a wall is shown below
We will use the trigonometry ratio for cosine to solve for 'x'
We choose the cosine ratio because we have the angle, 61° and the side adjacent to the angle
, rounded to 2 dp
Answer:
B. y ≤ 1/2x + 3
Step-by-step explanation:
To write the equation of the inequality, use the linear equation form y = mx + b. The y-intercept is b and is where the line intersects the y-axis. Here b = 3. You can find the slope m by counting between points the vertical and horizontal distances. Here it is 1/2. Substitute m = 1/2 and b = 3.
y = 1/2x + 3
Since this is an inequality and a solid line has been used, you must use ≤ and ≥. To determine which is for this equation, test the point (0,0) in each.
y ≤ 1/2x + 3 y ≥ 1/2x + 3
0 ≤ 1/2(0) + 3 0 ≥ 1/2(0) + 3
0 ≤ 3 True 0 ≥ 3 False
Since (0,0) is a part of the set of solutions, the equation which is true is the correct equation.
Answer:
product, sum, difference, quotient
Step-by-step explanation:
product is the answer to a multiplication question
sum is the answer to an addition question
difference is the answer to a subtraction question
quotient is the answer to a division question