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soldi70 [24.7K]
3 years ago
7

Plz help me with 1,2 , and 3 im giving 50 points for it!

Mathematics
2 answers:
butalik [34]3 years ago
7 0

Answer:

1: x > -5

2: n > 4

3: x > -2

Step-by-step explanation:

ANEK [815]3 years ago
5 0

Answer:

Step-by-step explanation:

1. x > -5

2. n > 4

3.x > -2

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What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE
maks197457 [2]

Given:

The equation of a line is:

2y+3x=10

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

2y+3x=10

For x=0,

2y+3(0)=10

2y+0=10

y=\dfrac{10}{2}

y=5

For x=2,

2y+3(2)=10

2y+6=10

2y=10-6

2y=4

Divide both sides by 2.

y=\dfrac{4}{2}

y=2

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

(x,y)\to (3x,3y)

Using this rule, we get

A(0,5)\to A'(3(0),3(5))

A(0,5)\to A'(0,15)

Similarly,

B(2,2)\to B'(3(2),3(2))

B(2,2)\to B'(6,6)

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-15=\dfrac{6-15}{6-0}(x-0)

y-15=\dfrac{-9}{6}(x)

y-15=\dfrac{-3}{2}x

Multiply both sides by 2.

2(y-15)=-3x

2y-30=-3x

2y+3x=30

Therefore, the equation of the line after the dilation is 2y+3x=30.

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2 years ago
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Luden [163]
We are asked to find the equivalent of the expression given:
(3m⁻² n)⁻³
-----------
6mn⁻²

Perform distribution of power using power rule such as shown below:
3⁻³ m⁻²*⁻³n⁻³
-----------------
6mn⁻²

Perform product and quotient rule such as shown below:
m⁶ n²
--------
3³ *6*m*n³

Simplify,
m⁵
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162n

The answer is m⁵/162n.
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What is the slope in this graph?​
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