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Nikolay [14]
3 years ago
13

What is the value of x when 1/3x = 9 1/2​

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

I'll help.

\frac{1}{3}x = 9 \frac{1}{2}

x = ?

↓

\frac{1}{3} x =  \frac{19}{2}

x =  \frac{57}{2}

"How it can be 57 ?"

The number 19 is multiplied by the number 3 at the bottom left.

19 × 3 = 57.

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Write an equation in standard form of the hyperbola described.
marishachu [46]

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill

\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}

5 0
2 years ago
Find the degree measures of the next two positive and the previous two negative angles that are coterminal with the angle 75°.
AlladinOne [14]

9514 1404 393

Answer:

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  • -285°, -645°

Step-by-step explanation:

Add or subtract multiples of 360° to find coterminal angles.

<u>Positive</u>

  75° +360° = 435°

  75° +2×360° = 795°

<u>Negative</u>

  75° -360° = -285°

  75° -2×360° = -645°

5 0
3 years ago
Please help asap.<br><br> please don’t take advantage of the points.
Verdich [7]

The answer is c = .6x + 5  

In order to find the equation, note that the price per pound is contingent upon the weight in x. Therefore, we can multiply the two together.

We also need to add the constant, which is 5.

5 0
3 years ago
Read 2 more answers
WHICH SERIES OF TRANSFORMATIONS CAN BE USED TO SHOW THAT ABC~DEF?
elena-14-01-66 [18.8K]

Answer:

A) is correct

Step-by-step explanation:

7 0
2 years ago
A rope is 250 centimeters long. You need the rope to be 1 1/2 meters long. How many centimeters should you cut off?
Drupady [299]
If you would like to know how many centimeters should you cut off, you can calculate this using the following steps:

1 1/2 meters = 3/2 meters = 1.5 meters = 150 centimeters

250 centimeters - 1 1/2 meters = 250 centimeters - 150 centimeters = 100 centimeters = 1 meter

The correct result would be 100 centimeters. 
6 0
3 years ago
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