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lyudmila [28]
3 years ago
10

For which pair of functions is the vertex of k(x)7 units below the vertex of f(x)?

Mathematics
1 answer:
kvv77 [185]3 years ago
3 0

Answer: Option C

f(x) = x^2;\ k (x) = x ^ 2 -7

Step-by-step explanation:

Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

k (x) = f (x) + b

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units down.

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.

In this case we have

f (x) = x ^ 2

We know that this function has its vertex in point (0,0).

Then, to move its vertex 7 units down we apply the transformation:

k (x) = f (x) - 7\\\\k (x) = x ^ 2 -7.

Then the function k(x) that will have its vertex 7 units below f(x) is

k (x) = x ^ 2 -7

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Answer:

The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.

Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.

We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.

We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.

Solving for "h", we get h = LSA / (s1+s2+s3)

For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

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3 years ago
X - 14= -7.96<br>I couldnt find the correct answer lol I need help​
kotykmax [81]

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Answer:

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Step-by-step explanation:

The ladder is the hypotenuse of the triangle with legs of 3 m and 10 m.

<u>The length of the ladder is:</u>

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Add blank to each side of x^2-8x=9
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Step-by-step explanation:

To complete the square, take half of the second coefficient, square it, then add the result to both sides.

(-8/2)² = (-4)² = 16

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3 years ago
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