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3 years ago

Simplify x^3 y ^4 / 3y^4

Mathematics

1 answer:

hjlf3 years ago

3 0

We can cancel out the y^4 on the top and bottom of the fraction.

this gives us...

(x^3)/3

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What is the dimension of a rectangle if the perimeter is 198

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Answer:

Length = 49.5 unit and width = 49.5 unit

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Given as , Perimeter of rectangle = 198 unit

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Or, $\frac{198}{2}$ = length + width

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3 years ago

Line b passes through the Point(-3, -4) and has a slope of -1/2. What is the equation of Line b in standard form?

Anna11 [10]

Answer:

$x+2y=-11$

Step-by-step explanation:

Slope intercept form of a line is given by:

$y=mx+b$

Where

m is the slope and b is the y-intercept

Given slope is $-\frac{1}{2}$

We can write:

$y=-\frac{1}{2}x+b$

Now to find b, we replace x with -3 and y with -4, given, so we have:

$y=-\frac{1}{2}x+b\\-4=-\frac{1}{2}(-3)+b\\-4=\frac{3}{2}+b\\b=-5.5$

So, the equation is:

$y=-\frac{1}{2}x-\frac{11}{2}$

Now,

The standard form is given by:

$Ax+By=C$

So, we take x and y to left side and the constant to right side. Rearranging, we get:

$y=-\frac{1}{2}x-\frac{11}{2}\\2y=-x-11\\x+2y=-11$

The first answer choice is right.

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3 years ago