the greater of two numbers is 1 more than twice smaller. three times greater exceeds 5 times the smaller by 10. find the three n
1 answer:
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9514 1404 393
Answer:
P(x) = -1/2(x -3)²(x +3)
Step-by-step explanation:
When q is a root of the polynomial, (x-q) is a factor. This polynomial will be ...
P(x) = a(x -3)²(x +3)
For x=0, the y-intercept will be ...
P(0) = 27a = -13.5
Then the value of a is ...
a = -13.5/27 = -1/2
The formula for P(x) is ...
P(x) = -1/2(x -3)²(x +3) . . . . . . factored form
P(x) = -0.5x³ +1.5x² +4.5x -13.5 . . . . standard form
Answer:
The height of the mast is 8√2 feet
Step-by-step explanation:
In this question, we are asked to calculate the height of the mast given the information in the question.
Please check the attachment for diagrammatic representation.
From the diagrammatic representation, we can conclude that we are asked to calculate the value of the third side of a right angled triangle, given the length of the two other sides.
Using the pythagoras’s theorem;
Square of hypotenuse = square of opposite + square of adjacent
From the diagram, we can see that the length of the cable represents the hypotenuse.
Hence;
AB^2= BC^2 + AC^2
12^2 = 4^2 + AC^2
144 = 16 + AC^2
AC^2 = 144 - 16
AC^2 = 128
AC = √128
AC = 8√2 feet
