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marysya [2.9K]
3 years ago
6

X = A 21.6 B 12.9 C 9.1

Mathematics
2 answers:
Artist 52 [7]3 years ago
6 0

Answer:

B: 12.9

Step-by-step explanation:

If A B and C are the alternatives, the answer is B: 12.9

The reason is that the hypotenuse can't be smaller than one of its sides, that eliminates alternative C.

And also, the hypotenuse can't be bigger than segments AC + BC, since the side AC is bigger and AC measures 10.8, the hypotenuse would have to measure < 21.6

Any questions, comment.

Sever21 [200]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Using the sine ratio in the right triangle

sin57° = \frac{opposite}{hypotenuse} = \frac{AC}{AB} = \frac{12}{x} ( multiply both sides by x )

x × sin57° = 12 ( divide both sides by sin57° )

x = \frac{12}{sin57} ≈ 12.9 ( to 1 dec. place ) → B

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Answer:

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Step-by-step explanation:

Given that

vertex of the parabola is at the point (1,3)

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y=3(x-1)^2 + 3\\ \\y=3(x^2+1-2x) + 3\\\\y=3x^2+3-6x + 3\\\\y=3x^2-6x + 6....Eq1

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to find the vertex we use formula for x- coordinate as x=-b/2a

x=-(-6)/2(3)\\\\x=6/6\\x=1

to find y put x=1 in the Eq1, we get

y=3(1)^2-6(1)+6\\\\y=3-6+6\\\\y=3

vertex =(x,y) = (1, 3)

thus vertex of the parabola from the equation y=3(x-1)2 + 3 is (1,3), thus verified

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Step-by-step explanation:

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