a.
The polynomial w^2+18w+84 cannot be factored
The perfect square trinomial is w^2+18w + 81
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The reason the original can't be factored is that solving w^2+18w+84=0 leads to no real solutions. Use the quadratic formula to see this. The graph of y = x^2+18x+84 shows there are no x intercepts. A solution and an x intercept are basically the same. The x intercept visually represents the solution.
w^2+18w+81 factors to (w+9)^2 which is the same as (w+9)(w+9). We can note that w^2+18w+81 is in the form a^2+2ab+b^2 with a = w and b = 9
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b.
The polynomial y^2-10y+23 cannot be factored
The perfect square trinomial is y^2-10y + 25
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Using the quadratic formula, y^2-10y+23 = 0 has no rational solutions. The two irrational solutions mean that we can't factor over the rationals. Put another way, there are no two whole numbers such that they multiply to 23 and add to -10 at the same time.
If we want to complete the square for y^2-10y, we take half of the -10 to get -5, then square this to get 25. Therefore, y^2-10y+25 is a perfect square and it factors to (y-5)^2 or (y-5)(y-5)
RP is 3 units long and its transformation R'P' is 1 unit long
R'P' = 1/3 * RP
so the scale factor is 1/3
Answer:
0.459 divided by 0.17 equals 2.7
Step-by-step explanation:
Answer:
what the question
Step-by-step explanation:
can you help me with my question The surface of the Gilded Age was of great prosperity, while the interior was corrupt; the "gilding" or good exterior of the Gilded Age came from which of the following? A. Rebuilding the nation from the left over money from the War B. The technological advancements of the industrial revolution C. The mass movement of people from the country into the cities D. New monuments and buildings built in honor of the war heroes
