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mario62 [17]
3 years ago
6

If two circles intersect, do they only intersect at only one point?

Mathematics
2 answers:
prisoha [69]3 years ago
8 0
Itś basically the same thing as a compare and contrast circle graph when they intersect with eachother
Anton [14]3 years ago
4 0
No, if they are a traditional circle it has two points of intersection
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Given f(x) = 4x^4 find f^-1(x) Then state whether f^-1(x) is a function.
sdas [7]

Answer:

  • f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}
  • f^{-1}(x) \quad\text{is not a function}

Step-by-step explanation:

To find the inverse function, solve for y:

x=f(y)\\\\x=4y^4\\\\\dfrac{x}{4}=y^4\\\\\pm\sqrt[4]{\dfrac{x}{4}}=y\\\\f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}

f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.

___

A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.

The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.

__

Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.

_____

The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.

5 0
3 years ago
A submarine starts at sea level and travels to a position that is a little lower than −24 feet. Use the drop-down menus to compl
Black_prince [1.1K]

Answer:

  1. The submarine's position means the distance it traveled is greater than 24 feet
  2. A possible position of the submarine is -27 feet

Step-by-step explanation:

Distance is generally a positive number. (Displacement, or position may be negative, as in this case.) If the sub started at 0 feet and went lower than -24 feet, it traveled a distance of more than 24 feet (greater than 24 ft).

Of the numbers listed, the only one lower than -24 is -27.

7 0
3 years ago
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5 0
3 years ago
the roof at the tennis stadium opens 421 inches in 50 seconds how many inches does the roof open per secound
Basile [38]

Answer:

8.42 inches per second

Step-by-step explanation:

421 divided by 50 i hope this helps

3 0
3 years ago
State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.
never [62]

Answer:

Triangles ABC and MNO are similar by SSS

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional

In this problem

If this problem the corresponding sides are

AB and MN

BC and NO

AC and MO

Verify if the corresponding sides are proportional

\frac{AB}{MN}=\frac{BC}{NO}=\frac{AC}{MO}

substitute the given values

\frac{5}{7.5}=\frac{5}{7.5}=\frac{8}{12}

0.67=0.67=0.67 ----- is true

so

When two triangles have corresponding sides with identical ratios , the triangles are similar by SSS Similarity

therefore

Triangles ABC and MNO are similar by SSS

8 0
3 years ago
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