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3 years ago

If K = {(x, y) | x - y = 5}, is Set K a function?

Mathematics

2 answers:

igomit [66]3 years ago

6 0

Yes it is young master

Marrrta [24]3 years ago

4 0

Answer:

Yes, set K is a function.

Step-by-step explanation:

Given K = {(x, y) | x - y = 5}

we have to find is above set is a function or not.

Functions are relations that give one output for each input, or one x- value gives only one value of y.

As, x-y=5

⇒ y=x-5

The above set is a function because every x-value produces a different y-value i.e K satisfies the definition of what it meant for a relation to be function.

Hence, set K is a function.

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3 years ago

PLEASE HELP HELP!!! PRECALC

brilliants [131]

Answer:

The base is 0.1

The base is less than 1 so the function is decreasing

The x intercept is (3,0)

Step-by-step explanation:

The base of a logarithm refers to the number that must be raised to the power of the number on the right hand side of the logarithmic equation in order to yield the number on the left hand side of the logarithmic equation. It is always written as a subscript below the log symbol. In this case, the base is 0.1.

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4 0

3 years ago

Triangle ABC is similar to triangle FED, find the measure of x. A. X = 9 B. X = 11 C. X = 110 D. X = 231

just olya [345]

Answer:

$A+B+C=130$

$F+E+D=273$

Step-by-step explanation:

From the question we are told that:

Dimension of ABC

A=9

B=11

C=110

Dimension of FED

D=231

Generally the equation for the similar triangles is mathematically given by

$\frac{A}{F}=\frac{B}{E}=\frac{C}{D}$

Therefore solving for F

$\frac{9}{F}=\frac{110}{231}$

$F=\frac{9*231}{110}$

$F=18.9$

Therefore solving for E

$\frac{11}{E}=\frac{110}{231}$

$E=\frac{11*231}{110}$

$E=23.1$

Measure of $\triangle ABC$

$A+B+C=130$

Measure of $\triangle FED$

$F+E+D=273$

5 0

3 years ago

Please help ASAP!!!!!!!!!

algol [13]

Answer:

A = 23.6 units^2

Step-by-step explanation:

Let the base be 8 (as shown).

Find the height of the triangle: Find the supplement of the 100 degree angle; it is (180 - 100), or 80 degrees. The side "opposite" this 80-degree angle is the height of the triangle:

height

sin 80 degrees = ---------------

and so the height of the triangle is h = 6 sin 80 degrees, or 5.91 units.

The area of the triangle is found using A = (1/2)(base)(height), which here amounts to:

A = (1/2)(8 units)(5.91 units), or

A = 23.64 units^2, or A = 23.6 units^2

3 0

3 years ago