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Ira Lisetskai [31]
3 years ago
9

Find the difference x/25x-125-1/x^2-5x

Mathematics
1 answer:
lozanna [386]3 years ago
4 0
The difference of <span> x/25x-125-1/x^2-5x

</span> (x/25x-125)-1/(x^2-5x)=  x / 25(x-5)   -  1/ x(x-5) = (1/x-5)(x/25-1/x) factorized by 1/x-5, and (1/x-5)(x/25-1/x) = (1/x-5)(x²-25/25x)= <span>(1/x-5)  [(x-5)(x+5) / 25x]
</span>= (x+5) / <span>25x  simplified by x-5
</span><span>so the final answer is 
</span> x/25x-125-1/x^2-5x = (x+5) / <span>25x</span>
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The equation of a parabola is shown.
WARRIOR [948]
The axis of symmetry for this parabola is the x-axis. The general form of the equation is:
4p(x-h) = (y-k)^2
where the focus has the coordinates of (h+p,k)

Manipulating the given equation to the general form:
4(1/3)(x-7)^2 = (y - 0)^2

Therefore the coordinates of the focus is:
(7+(1/3),0)

The answer is A.) (71/3,0)


5 0
3 years ago
Triangle A C D is shown. A line is drawn from point D to point B on side A C to form a right angle. Line A D is labeled s. The l
devlian [24]

Answer:

s = 17units

Step-by-step explanation:

For this problem, we are trying to find a specific unknown side length.

We're actually given some extraneous information (information that is not needed to solve the problem):  <em>It isn't necessary to know that BC is 5.</em>

If the side AD with the unknown length is part of a right triangle (the triangle in red in the attached diagram), we can use the Pythagorean Theorem to solve for AD.

It isn't clear if the diagram you were provided gives ∠ABD as a right angle,  if it only gives ∠CBD as a right angle, or if it gives both as a right angle.  Below, we prove that it doesn't matter, because regardless, both must be right angles.

<u>Is Triangle ABD a "right triangle"?</u>

Since B is between A and C, then the two angles ∠ABD & ∠CBD form a linear pair, and by the linear pair postulate are supplementary.  Since they are supplementary, their measures add to 180°.  Using the fact that all right angles are 90°, substitution, the subtraction property of equality, arithmetic, the measure of ∠ABD is also 90°, and thus must be a right angle.  Thus, based on the given information, both ∠ABD & ∠CBD must be right angles.

Consequently, triangle ABD is a right triangle, by definition (it is a triangle that has a right angle).

<u>Pythagorean Theorem</u>

Since triangle ABD is a right triangle, the Pythagorean Theorem can be applied.

The Pythagorean Theorem states that a^{2} +b^{2} =c^{2} where "c" is the hypotenuse (the side across from the right angle) and "a" and "b" the the lengths of the two other sides (called legs) of the right triangle.  (<em>Aside: Because of the commutative property of addition, it doesn't matter which of the two legs' lengths is used for a, and which is used for b.  The only thing that is required is that "c" be the length of the hypotenuse</em>)

In our triangle, side AD, with unknown length "s" is the length of our hypotenuse, and sides AB and BD are the two legs.  Substituting values into the Pythagorean Theorem equation, we can solve for the unknown "s":

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

(8)^{2} +(15)^{2} =(s)^{2}

64 +225 =s^{2}

289 =s^{2}

Applying the square root property...

\pm \sqrt{289} =\sqrt{s^{2}}

s=17 \text{ or } s=-17

<u>Final Solution</u>

We discard the negative solution we obtained, since s represents the length of the side of a triangle.

s = 17units

7 0
2 years ago
Find measures of each exterior angle of a regular polygon with 16 sides
Maksim231197 [3]
The measure of each exterior angle = the measure of each central angle.
each angle = 360 / 16 = 22.5
3 0
3 years ago
Read 2 more answers
Geometric Models help please:)<br> please give the exact answer <br> picture down below
marta [7]
To make the pattern it only uses a horizontal translation and a 180 rotation, so the second one.

Hope this helps.
8 0
3 years ago
Samantha loves to download new music. She originally had 52 songs but plans to purchase 2 new songs each week. She wants to know
aleksley [76]

Answer:

Step-by-step explanation:

a93 = 93 + 2(52 − 1)

a93 = 93 + 2(52 + 1)

a93 = 52 + 2(93 + 1)

a93 = 52 + 2(93 − 1)

Originally 52 - Get rid of the first 2

a93 = 52 + 2(93 + 1)

a93 = 52 + 2(93 − 1)

2 each week. - Annoying. That doesn't help.

a93 = 52 + 2(93 + 1)

a93 = 52 + 2(93 − 1)

We're not buying any new ones in the first week, so purchases are one down.

a93 = 52 + 2(93 − 1)

I think we made it.

5 0
3 years ago
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