The term that could be put in the blank is x^2y^2
<h3>How to complete the polynomial?</h3>
The polynomial is given as:
8x^3y^2 - ___ + 3xy^2 - 4y^3
From the above expression, we can see that each term has a decreasing power of x from x to 0.
The missing power of x in the expression is 2
So, the term that completes the expression must have x^2
Hence, the term that could be put in the blank is x^2y^2
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10-7=3, 7-5=2 so the pattern is -3,-2
Part b the answer is 6 mins because if you use the pattern -3,-2 and add it up minus 3 mins equals 2, and another 3 mins past and it’s -2 and 3 plus 3 is 6
Part C: 3 mins before she came the tank was full because if you switch the subtraction to addition it would be 7+3=10
Answer:
h(x) = (1/2)(x - 3)^2 + 2
Step-by-step explanation:
Start with y = x^3.
Multiply x^3 by the dilation factor (1/2); this compresses the graph vertically.
Next, replace the x in x^3 with (x - 3). This shifts the graph 3 units to the right.
Last, starting with your g(x) = (1/2)(x - 3)^2, add 2
You will end up with h(x) = (1/2)(x - 3)^2 + 2.
Graph the two points and you'll see that the radius is 3.
C=2(pi)r
C = 2(3.14)(3)
C = 18.84
Let the height be h
According to the Pythagoras Theorem,
h= root 15^2-5^2
= root 225-25
= root 200= 14.14
Thus, the ladder reaches approximately 14.14 feet from the base of the house