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2 years ago

What is the domain of f in the equation F(x)=5/x2-18x+45

1 answer:

6 0

$f(x)=\dfrac{5}{x^2-18x+45}\\\\The\ domain:\\\\x^2-18x+45\neq0\\\\x^2-15x-3x+45\neq0\\\\x(x-15)-3(x-15)\neq0\\\\(x-15)(x-3)\neq0\iff x-15\neq0\ \wedge\ x-3\neq0\\\\\boxed{x\neq15\ \wedge\ x\neq3}\to\boxed{x\in\mathbb{R}-\{3,\ 15\}}$

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What is 6/10 divided by 2/5

babunello [35]

Answer:3/2

Step-by-step explanation:

6/10 ➗ 2/5

6/10 x 5/2

(6x5)/(10x2)

30/20=3/2

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2 years ago

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There are nine squares in a 3 x 3 square grid. Four of them will be painted white, how many will be painted black?

amid [387]

Answer:

5 squares will be painted black.

Step-by-step explanation:

There are 9 squares, and 4 of them will be painted white, so that means that the remaining squares will be painted black. 9-4=5, so 5 squares will be painted black.

Hope this helped! :)

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2 years ago

Find the measure of the exterior angle.

miss Akunina [59]

Answer:

120 degrees! (line) or 300.

Step-by-step explanation:

All lines are 180 degrees, this triangle is congruent, so all sides are 60 degrees. 180 minus 60 is 120.

If it's a measure of a 360 degree angle, using 2 lines from the triangle, then you take 60 away from 360. A circle formed with that angle at it's radius would be 300 degrees.

4 0

2 years ago

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Helpppp meeeee outttttt pleaseeeee ASAPPPP!!!!

Ilya [14]

Answer:

$\boxed{\sf sin\ C =\frac{40}{41}}$

Step-by-step explanation:

We need to find out the value of sinC using the given triangle . Here we can see that the sides of the triangle are 40 , 41 and 9 .

We know that the ratio of sine is perpendicular to hypontenuse .

$\sf\longrightarrow sin\theta =\dfrac{ perpendicular}{hypontenuse}$

Here we can see that the side opposite to angle C is 40 , therefore the perpendicular of the triangle is 40. And the side opposite to 90° angle is 41 . So it's the hypontenuse . On using the ratio of sine ,

$\sf\longrightarrow sinC =\dfrac{ p}{h}\\\\\sf\longrightarrow sin\ C =\dfrac{AB}{AC}$

Substitute the respective values ,

$\sf\longrightarrow \boxed{\blue{\sf sin\ C =\dfrac{40}{41}}}$

Hence the required answer is 40/41.

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2 years ago

Simplify the expression –8(12). A. 96 B. 20 C. 2 D. –96

Tanzania [10]

-96 is ur answer!!!!

7 0

1 year ago