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3 years ago

Look at picture and plzz help

Mathematics

2 answers:

adoni [48]3 years ago

6 0

Answer:

a= 3 b=6 c= 5

Step-by-step explanation:

Neporo4naja [7]3 years ago

3 0

For this case we have the following expression:

$3 ^ {\frac {6} {5}}$

By definition of properties of powers and roots we have:

$\sqrt [c] {a ^ b} = a ^ {\frac {b} {c}}$

Then according to the given expression we have the following:

$a = 3\\b = 6\\c = 5$

Answer:

$a = 3\\b = 6\\c = 5$

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HELP TIMER Write the equation of a hyperbola centered at the origin with x-intercept +/- 4 and foci of +/-2(squareroot 5)

nikitadnepr [17]

Answer:

$\frac{x2}{a} - \frac{y2}{b2} = 1$

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

$\frac{X2}{16} - \frac{b}{4} = 1$

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

I don't feel like explaining so...

a. = 4

The foci c is at +/-2√5, using c² = a² + b²:

B = 2

Substituting the value of a and b to get the equation of the hyperbola:

$\frac{x2}{a2} - \frac{y2}{b2} = 1$

$\frac{x2}{16} - \frac{b2}{4} = 1$

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2 years ago

Show All Work

Angelina_Jolie [31]

The unit rate you're trying to find is pages per day(or p/d), so the equation needs to have both a unit for pages and for days.
The equation we have is:
$5,249 = 29d$
If they read 5,249 pages, then we can include the unit for pages in the equation.
Since we also know that d is the number of days it took, you can replace d with days.
The equation becomes:
$5,249\ pages=29*(x\days)$
Now that we have one variable, we can solve for p/d:
$\frac{5,249\ pages}{29}=x\ days\\\\181 = x$
Thus it took them 181 days to read it all.

If Johnny read 5,249 pages over 181 days and the unit rate is pages per day(p/d), then the equation for finding p/d is:
$\frac{p\ pages}{d\ days}=\frac{5,249\ pages}{181\ days}=\frac{29\ pages}{1\ day}\\\\29\ \frac{pages}{day}$
Johnny read 29 pages per day.

8 0

2 years ago