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Over [174]
3 years ago
15

40y^14/10y^8 simplify radicals and use properties of rational exponents

Mathematics
1 answer:
Vadim26 [7]3 years ago
7 0

Answer:

4y^6

Step-by-step explanation:

Take out the constants:

40y^14/10y^8

= 40/10 * y^14 / y^8

= 4 * y^(14-8)

= 4 * y^6

= 4y^6

Hope this helped you :3

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What is the slope of a line that is perpendicular to the line whose equation is 7x−3y=107x−3y=10?
Verdich [7]
This is the concept of algebra, to get the slope of the line we need to rewrite the equation in slope intercept form y=mx+c, where m=slope, c=y-intercept.
Therefore re-writing our expression in slope-intercept form we get:
7x-3y=10
-3y=-7x+10
y=7/3x-10/3
The slope=7/3
hence we conclude that the slope of the line perpendicular to this is -3/7


4 0
3 years ago
What is the equation of y = x^3 with the given transformations? Vertical stretch by a factor of 3, horizontal shift 4 units to t
givi [52]

Answer:

y = 3(x - 4)^3 - 3

Step-by-step explanation:

A vertical stretch factor 3 is given by 3x^3.  Horizontal shift 4 to the right is given by 3(x - 4)^3. Finally we  add -3 to this function to move it 3 units down.

Answer is y = 3(x- 4)^3 - 3

4 0
3 years ago
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ELEN [110]

Answer:

Since the base is the same, we can just multiply the exponents, and when we do so we get y^6.

7 0
3 years ago
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Find the distance from point A (4,2) to point B (9,7).
Nataliya [291]

Answer:

11

Step-by-step explanation:

3 0
3 years ago
Find the domain of the rational expression: x-4/2x-6
marin [14]

Answer:

All real numbers except 3

Step-by-step explanation:

Given

\frac{x - 4}{2x - 6}

Required

Determine the domain

We start by writing the following inequality

2x - 6 \neq  0

Add 6 to both sides

2x -6 + 6 \neq = 0 + 6

2x \neq  6

Divide both sides by 2

\frac{2x}{2}\neq  \frac{6}{2}

x \neq  \frac{6}{2}

x \neq = 3

<em>As such, the domain of x is all real numbers except 3</em>

4 0
3 years ago
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