The solutions to the inequality y < −x + 2 are shaded on the graph. Which point is a solution?
1 answer:
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Answer:
The result after partial products of 89 x 38 is 3382
Step-by-step explanation:
We need to solve 89 x 38 using partial products.
In Partial products we divide each term such that 89 can be written as 80 and 9 while 38 can be written as 30 and 8
We will multiply each term with other and then find their sum.
Multiplication is shown in figure attached.
Now adding the results of each cell in the table:
2400+640+270+72= 3382
So, the result after partial products of 89 x 38 is 3382.
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Keywords: Partial products, product
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To find the gradient of the tangent, we must first differentiate the function.
The gradient at x = 0 is given by evaluating f'(0).
The derivative of the function at this point is negative, which tells us <em>the function is decreasing at that point</em>.
The tangent to the line is a straight line, so we will have a linear equation of the form y = mx + c. We know the gradient, m, is equal to -1, so
Now we need to substitute a point on the tangent into this equation to find c. We know a point when x = 0 lies on here. To find the y-coordinate of this point we need to evaluate f(0).
So the point (0, -1) lies on the tangent. Substituting into the tangent equation:
Focus of the parabola is (-5,5) and directrix is y = -1.
Let's assume a point (x,y) on parabola.
According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.
Hence, option D is correct, i.e. f(x) = one twelfth (x + 5)2 + 2.