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3 years ago

If x=5^a, find the value of 5x. How?

Mathematics

1 answer:

Yakvenalex [24]3 years ago

7 0

Answer:

$5x = 5^{(a+1)}$

Step-by-step explanation:

Here is a problem with the concept of properties of the exponent.

We are given $x = 5^{a}$ and we have to find the value of 5x.

Now, $5x = 5 \times 5^{a}$ {Since we are given that $x = 5^{a}$ }

⇒ $5x = 5^{1} \times 5^{a}$ {Since we can write $x = x^{1}$ }

⇒ $5x = 5^{(a+1)}$ {Since we know the formula of exponent as $x^{m} \times x^{n} = x^{(m + n)}$ }

(Answer)

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An automobile travels past the farmhouse at a speed of v = 45 km/h. How fast is the distance between the automobile and the farm

yulyashka [42]

Answer:

$\frac{ds}{dt} = 39.586 km/h$

Step-by-step explanation:

let distance between farmhouse and road is 2 km

From diagram given

p is the distance between road and past the intersection of highway

By using Pythagoras theorem

$s^2 = 2^2 +p^2$

differentiate wrt t

we get

$\frac{d}{dt} s^2 = \frac{d}{dt} (4 + p^2)$

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3 years ago

Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)

nekit [7.7K]

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in $y=mx+b$ form. In this for the following are:

$m$ is the slope of the line
$b$ is the y intercept

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Upon inserting our points into the equation, we get a slope of -1.

$\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1$

Creating The Equation

To create the equation in $y=mx+b$ form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

$y=-1x-2$

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!

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3 years ago

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The interest rate is also incorrect.

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1 year ago

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stellarik [79]

Answer:

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