The cosine is -0.88
This is rounded from <span>-0.88387747318
The sine is .48.
This is rounded from </span><span>0.46771851834</span>
Answer:
The ball reached its maximum height of () in ().
Step-by-step explanation:
This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.
The first step in completing the square is to group the quadratic and linear term:
Now factor out the coefficient of the quadratic term:
After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:
Now take the balancing term out of the parenthesis:
Simplify:
The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:
Answer:
Step-by-step explanation:
x(x-2y)-(y-x)2
Final result :
-y2
Step by step solution :
Step 1 :
Equation at the end of step 1 :
x • (x - 2y) - (y - x)2
Step 2 :
2.1 Evaluate : (y-x)2 = y2-2xy+x2
Final result :
-y2
Not sure what we need to do for this question, as it appears that you have already completed it, but looking over your answer, the graphed relationship looks correct! And it would take 3 cups of flour to make 90 cookies, as per the table.
Answer:
Part A: The y-coordinate when x=0 is 6. So, the y-intercept is 6
Part B: The equation for a line is y = mx + b, where m is the slope and b is the y-intercept. For plant A, the slope is 1 and the y-intercept is 6. So, the equation for the line is y = x + 6.
Part C:The y-coordinate when x=0 is 4. So, the y-intercept is 4.
Part D:The equation for a line is y=mx+b, where m is the slope and b is the y-intercept. For plant B, the slope is 3/2 and the y-intercept is 4. So, the equation for the line is y= 3/2x+4.
Part E:The solution for the system of equations is (4,10). This solution is the same as the answer found graphically.
Answers straight from plato/Edmentum Hope this helps:) !