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3 years ago

Can you please solve the garden question. It's question number 5.

Mathematics

1 answer:

harkovskaia [24]3 years ago

8 0

The answer is D. You just do 4 * 3/8 and simplify it to 1 1/2

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What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4

KatRina [158]

You can use the fact that a number raised to negative powers can be written as 1 divided by that number raised to positive number.

The value of the given expression when m = -5 and n= 3 is $-\dfrac{2}{5}$

<h3>How can we rewrite a number raised to negative power?</h3>

Suppose we've got $a^{-b}$ . then it can be rewritten as

$a^{-b} = \dfrac{1}{a^b}$

It is because $a^0 = 1$ for any a except 0, and that $\dfrac{a^0}{a^b} = a^{0-b} = a^{-b}$

If base are same and there is multiplication, then there will be addition in power.

Also, know the fact that if base are same and there is division, there will be subtraction in power(subtracting since that denominator when goes up, its power gets negated(gets negative sign to the existing power)

Thus,

$a^b \timesa ^c = a^{b+c}\\\\\dfrac{a^b}{a^c} = a^{b-c}$

<h3>Using above method to simplify the given expression before evaluating</h3>

The given expression is $\dfrac{2m^{-1}n^5}{3m^0n^4} = \dfrac{2n^5}{3m^0m^1n^4} = \dfrac{2n^5}{3mn^4} = \dfrac{2n^{5-4}}{3m} = \dfrac{2n^1}{3m} = \dfrac{2n}{3m}$

Putting m = -5 and n=3, we get:

$\dfrac{2\times 3}{3 \times -5} = -\dfrac{2}{5}$

Thus,

The value of the given expression when m = -5 and n= 3 is $-\dfrac{2}{5}$

Learn more about base and exponent(power) here:

brainly.com/question/847241

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3 years ago

Consider the point P = (3,8) and the line L, given by the equation y = 3x -4.

Fofino [41]

Answer:

A parallel y = 3x-1

B perpendicular y = -1/3x+9

Step-by-step explanation:

y = 3x-4 is written in slope intercept form (y=mx+b) so the slope is 3.

A. If the lines are parallel they have the same slope

m parallel is 3

Using point slope form

y-y1 = m(x-x1)

y-8 = 3(x-3)

Distribute

y-8 = 3x-9

Add 8 to each side

y-8+8 = 3x-9+8

y = 3x-1

This is slope intercept form

B If we want perpendicular lines, the slope is the negative reciprocal

m perpendicular is -(1/3) = -1/3

Using point slope form

y-y1 = m(x-x1)

y-8 = -1/3(x-3)

Distribute

y-8 = -1/3x+1

Add 8 to each side

y-8+8 = -1/3x+1+8

y = -1/3x+9

This is slope intercept form

3 0

3 years ago