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2 years ago

The expression 5x^6y^2/x^8y is equivalent to

1 answer:

8 0

$\text{Use:}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}\\\\..........................................\\\\\dfrac{5x^6y^2}{x^8y}=5x^{6-8}y^{2-1}=5x^{-2}y^1\\\\=\boxed{5x^{-2}y=\dfrac{5y}{x^2}}$

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Let a, b, c, and d be real numbers with a, c 6= 0. Prove that the lines y = ax+b and y = cx + d have the same x-intercept if and

Monica [59]

Step-by-step explanation:

We have got the lines :

$y=ax+b\\y=cx+d$

Both lines intercept the x-axis in the point :

$I = (i_{1} ,i_{2})$

In all point from x-axis the y-component is equal to 0.

$I=(i_{1},o)$

We replace the I point in the lines equations:

$0=a(i_{1})+b \\0=c(i_{1})+d$

From the first equation :

$0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}$

From the second equation :

$0=c(i_{1})+d\\ -d=c(i_{1})\\i_{1}=\frac{-d}{c}$

Then $i_{1}=i_{1}$

Finally :

$\frac{-b}{a}=\frac{-d}{c} \\\frac{b}{a}=\frac{d}{c} \\ad=bc$

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

8 0

3 years ago

Simplify: 3•6 - 42 ÷ 2

Romashka [77]

Answer:

-3

Step-by-step explanation:

3 x 6 - 42/2 =

18 - 42/2 =

18 - 21 =

-3

6 0

3 years ago

Read 2 more answers

What is the domain of f(x) = √x – 4 over the set of real numbers?

nikklg [1K]

Answer:

Step-by-step explanation:

Given the sqrt(x), x $\geq \\$ zero

So, given sqrt(x -4), x -4 $\geq \\$ 0

Now solve for x

x - 4 $\geq \\$ 0

x $\geq \\$ 4

6 0

2 years ago

Please help em!!! I need an answer fast

DerKrebs [107]

You divide the area and the base

3 0

3 years ago

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Kruka [31]

Answer:

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Step-by-step explanation:

hope this helps

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2 years ago