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emmainna [20.7K]
3 years ago
5

Which of the following terms best describes the set of all points in a plane for which the difference between the distances of a

given point to two fixed foci equals a certain constant?

Mathematics
1 answer:
Gnoma [55]3 years ago
6 0

Answer:

HYPERBOLA

Step-by-step explanation:

We have the statement,

'The set of all points in a plane for which the difference between the distances of a given point to two fixed foci equals a certain constant'.

We know that,

Hyperbola is the set of points such that for point P anywhere on the curve, the absolute distance to the two fixed points is a constant.

i.e. From the figure, we see that, the difference of the distance of P from F_{1} and F_{2} is equal to constant 2a.

Thus, the term representing the given statement is HYPERBOLA.

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Answer:

5/2 =

<u>2.5</u>

Step-by-step explanation:

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What is the height of the prism if the surface area is 460 mm2?
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The answer of this question is B
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Please help me on this i don’t get it that well
NeX [460]

Answer:

13.75

Step-by-step explanation:

make a ratio between the original lengths, 11 : 5.5

then put the ratio of the enlarged lengths, 27.5 : __

now you divide 27.5 by 11 to find how many times you multiplied the lengths, 2.5.

now you multiply 5.5 by 2.5 giving you the answer of 13.75

7 0
3 years ago
Let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)
dlinn [17]

Answer:

(f - g)(x) = -x² + 3x + 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Function Notation
  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x + 5

g(x) = x²

(f - g)(x) is f(x) - g(x)

<u>Step 2: Find (f - g)(x)</u>

  1. Substitute:                   (f - g)(x) = 3x + 5 - x²
  2. Rewrite:                       (f - g)(x) = -x² + 3x + 5
7 0
2 years ago
83 POINTS FOR WHOEVER ANSWERS THESE QUESTIONS:<br><br> PICTURES
motikmotik

Answer:

y=sqrt((x+a)/-2b))

F=(5/9)C+32

Can't read the rest

Step-by-step explanation:

-2by^2=x+a

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F-32=(5/9)C

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NOTE: The other pictures cannot be opened.



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