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Tamiku [17]
2 years ago
14

The difference of a number divided by 3 and 9 is equal to 8 .

Mathematics
1 answer:
padilas [110]2 years ago
8 0
<span>two divided by the difference of a number and 3 minus 4 divided by a number plus 3, equals 8 times the reciprocal of the difference of the number squared and 9.

let x=number
2/(x-3)-4/(x+3)=8/(x^2-9)=8/(x+3)(x-3)

LCD: (x+3)(x-3)
2(x+3)-4(x-3)=8
2x+6-4x+12=8
-2x+18=8
-2x=-10
x=5</span>
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Endpoint: (9,-10), midpoint: (4,8)
Alika [10]

Answer:

( -1 , 26)

Step-by-step explanation:

So since you need to find the other endpoint, you would follow these steps:

1.) 4 = \frac{9 + x}{2\\}

2.) 8 = 9 + x  ( you just multiplied the 2 to the 4 to get 8)

3.) -1 = x  (just solve it like a regular equation, so just subtract 9 on both sides                  to get rid of it and that leaves you with -1 = x)

You took the x values of both points and put them in the equation.

And its the same for y

1.) 8 = \frac{-10 + y}{2}

2.) 16 = -10 + y

3.) 26 = y   (you added the 10 on both sides because the 10 was negative and that took the 10 out and so it left you with 26 = y)

5 0
3 years ago
Use a inequality symbol to compare -3x+7 -10-2
abruzzese [7]
Hey there,

Let's remember that a (inequality symbol) is things like (<), (>), (≤),(≥), (≠).

So, I believe that (-3x+7) and (-10-2) are separate. So we will find that out :)

Let's first do (-3x+7). As simplifying this expression here, we take that "x" of for a while and just stick to (-3+7). 

    -3
+   7
______
     4

Let's bring that "x" back, and the answer would be 4x for a while.

So far, 4x is the answer.
_____________________________________________________________

Now, Let's work on the other side.

We are talking about (<span>-10-2)

    -10
-      2
_______
</span>     -12

So, by solving the answer to (-10-2), we got -12.

So, let's determine what is greater . . . . . 

What \ is \ greater?

-12 or 4.

-12 is on the negative side, and the number 4 is positive. This would conclude that 4 is great than -12.

Your correct answer would look like . . . 

<span>(-3x+7) > (-10-2)
</span>
I really hope this helps you alot.

~Jurgen

8 0
2 years ago
Read 2 more answers
X &lt; -4.8
Kamila [148]

Answer:

D & E

Step-by-step explanation:

4 0
2 years ago
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The bottom of a rectangular swimming pool has a perimeter of 62 meters. Its area is 220 square meters. What are the dimensions o
Dahasolnce [82]

Answer:

13640cubicmeter........

6 0
2 years ago
Find cos(2*ABC) 100POINTS
juin [17]

Answer:

-\dfrac{7}{25}

Step-by-step explanation:

<u>Trigonometric Identities</u>

\cos(A \pm B)=\cos A \cos B \mp \sin A \sin B

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Using the trig ratio formulas for cosine and sine:

  • \cos(\angle ABC)=\dfrac{3}{5}
  • \sin(\angle ABC)=\dfrac{4}{5}

Therefore, using the trig identities and ratios:

\begin{aligned}\implies \cos(2 \cdot \angle ABC) & = \cos(\angle ABC + \angle ABC)\\\\& = \cos (\angle ABC) \cos (\angle ABC) - \sin(\angle ABC) \sin (\angle ABC)\\\\& = \cos^2(\angle ABC)-\sin^2(\angle ABC)\\\\& = \left(\dfrac{3}{5}\right)^2-\left(\dfrac{4}{5}\right)^2\\\\& = \dfrac{3^2}{5^2}-\dfrac{4^2}{5^2}\\\\& = \dfrac{9}{25}-\dfrac{16}{25}\\\\& = \dfrac{9-16}{25}\\\\& = -\dfrac{7}{25} \end{aligned}

7 0
2 years ago
Read 2 more answers
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