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3 years ago

If f(x)=x²-2x , g(x) = x+9 ,f/g(x)

Mathematics

1 answer:

algol [13]3 years ago

3 0

Answer:

∴ $\frac{f}{g}(x)=\frac{x^{2}-2x}{x+9}$ where x $\neq$ -9

Step-by-step explanation:

Given data,

$f(x)=x^{2} -2x$ and $g(x)=x+9$

We know,

$\frac{f}{g}(x)=\frac{f(x)}{g(x)}$ where g(x) $\neq$ o and x∈R

$\frac{f}{g}(x)=\frac{x^{2}-2x }{x+9}$ where x+9 $\neq$ 0

x $\neq$ 0-9

x $\neq$ -9

∴ $\frac{f}{g}(x)=\frac{x^{2}-2x}{x+9}$ where x $\neq$ -9

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A submarine travels 6.6 km due West from its base and then turns and travels due South for 3.9

geniusboy [140]

Answer:

$7.7$ km

Step-by-step explanation:

The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of $6.6$ km and $3.9$ km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, $a^{2}+b^{2} =c^{2}$ , where $a$ and $b$ are the lengths of the triangle's legs and $c$ is the length of the triangle's hypotenuse. In this case, we know what $a$ and $b$ are, and we need to solve for c, so after substituting the given values of $a$ and $b$ into $a^{2}+b^{2} =c^{2}$ to solve for c, we get:

$a^{2}+b^{2} =c^{2}$

$6.6^{2} +3.9^{2} =c^{2}$ (Substitute $a=6.6$ and $b=3.9$ into the equation)

$43.56+15.21=c^{2}$ (Evaluate the squares on the LHS)

$58.77=c^{2}$ (Simplify the LHS)

$c^{2}=58.77$ (Symmetric Property of Equality)

$\sqrt{c^{2} } =\sqrt{58.77}$ (Take the square root of both sides of the equation)

$c=7.7,c=-7.7$ (Simplify)

$c=-7.7$ is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately $7.7$ km away from its base. Hope this helps!

7 0

3 years ago

The bases in a major league diamond are locate at the corners of a 900 yd^2 square as pictures below. a player throws a baseball

Licemer1 [7]

To answer this, you will use the area of 900 square yards to determine the distances between the bases. Each side of the square is 30 yards, so it will be 30 yards from 1st to home and from 1st to 2nd.

The distance from home to 2nd is a diagonal in the square (the hypotenuse).

You will use the Pythagorean Theorem to find this distance.

a^2 + b^2 = c^2
30^2 + 30 ^2 = c^2
900 + 900 + c^2
1800 = c^2

The square root of 1800 is approximately 42.4 yards.

The ball travels approximately 42.4 yards.

5 0

3 years ago

PLEASE HELP ASAP, this is due in 10 minutes

svetoff [14.1K]

Answer:

hii dont report answer but u never put the questionnn

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Write three thousand five hundred thirty nine in expanded form

tekilochka [14]