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podryga [215]
3 years ago
13

Can you find the area of a parralllogram with just the length of the diagonals

Mathematics
1 answer:
nekit [7.7K]3 years ago
8 0
No it is not. If you had two fixed diagonals which are attached in the center, when they move it creates different parallelograms. The area would be close to zero if they were parallel.
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A personnel director at a large company studied the eating habits of employees by watching the movements of a selected group of
Gnesinka [82]

Answer:

  1. c) an observational study
  2. c) convenience sample
  3. a) blocking for gender

Step-by-step explanation:

It is an abservational study because she is only watching and not asking the all or a group of employees to tell her their response to what she wants to know.

It is a convenience sample because subjects are selected because of their closeness to the researcher.

8 0
3 years ago
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
2 years ago
9x^2+ 8x + 3 = 0 solve using quadratic formula
pav-90 [236]
18x + 8x = -3
26x = -3
x = -3/26
3 0
3 years ago
HELP ME I MARK BRAIN THING
disa [49]

Answer:

your answer will be B

Step-by-step explanation:

have a nice day/night !!!

7 0
2 years ago
Read 2 more answers
Which of these numbers has the greatest absolute value-3 1 -9 5
Burka [1]
I believe it is the 9, with absolute values the number will always be positive so the absolute value of -9 is 9, which is the greatest out of all the options
3 0
3 years ago
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