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PtichkaEL [24]
3 years ago
8

4x-5(x-2)=12x+4-x ??????????????

Mathematics
1 answer:
Anestetic [448]3 years ago
6 0
     4x - 5(x - 2) = 12x + 4 - x
4x - 5(x) - 5(-2) = 12 - x + 4
    4x - 5x + 10 = 11x + 4
            -x + 10 = 11x + 4
          <u>+ x             + x       </u>
                    10 = 12x + 4
                    <u>- 4            - 4</u>
                      <u>6</u> = <u>12x</u>
                     12    12
                   0.5 = x
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What is the correct standard equation of a circle with center (5,-1) and radius 12
Charra [1.4K]

The equation for a circle is

(x-h)² + (y-k)² = r²

h = your given x

y = your given k

Let's plug everything in!

(x - 5) ² + (y - (-1)) ² = 12²

Your final equation is

(x - 5) ² + (y + 1) ² = 144

<em>Hope I helped! Comment or message me if you have any questions :) </em>

6 0
3 years ago
I don't need you to work it out, just theorem(s) i need to reach the answer :)
VikaD [51]
Not sure why such an old question is showing up on my feed...

Anyway, let x=\tan^{-1}\dfrac43 and y=\sin^{-1}\dfrac35. Then we want to find the exact value of \cos(x-y).

Use the angle difference identity:

\cos(x-y)=\cos x\cos y+\sin x\sin y

and right away we find \sin y=\dfrac35. By the Pythagorean theorem, we also find \cos y=\dfrac45. (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if \tan x=\dfrac43, then (by Pythagorean theorem) \sec x=\dfrac53, so \cos x=\dfrac35. And from this, \sin x=\dfrac45.

So,

\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}
7 0
3 years ago
A farmer knows that a crop she is growing requires 24 kg of fertilizer throughout the season. She has a measuring flask which wh
Papessa [141]

Answer:

48 times

Step-by-step explanation:

From the above question, we know that:

2 times = 1 kg of fertilizer

A crop requires 24 kg of fertilizer

Hence:

1 kg of fertilizer = 2 times

24 kg of fertilizer = x

Cross Multiply

x = 24 kg × 2 times/1 kg

x = 48 times

She need to fill the flask 48 times to make the required amount of fertilizer for the crop

8 0
3 years ago
A number n is no less than -3. what is the inequality
vazorg [7]

Answer:

n ≥ -3

Step-by-step explanation:

If n can be <em>no less than</em> -3... then we know that n has to be bigger than or equal to -3.

This could also be said as <em>greater than or equal to</em> -3

Conveniently enough... there is a sign for <em>greater than or equal to</em> and it is ≥

6 0
3 years ago
Which number is not the same type of number as the others in the list? 5.85, 63.4, 8.52624, 27.5
Darya [45]

8.52624 is not the same as 5.85, 63.4 , and 27.5.

Hope this Helps!!

6 0
3 years ago
Read 2 more answers
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