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Vlada [557]
3 years ago
5

Identify an equation in slope-intercept form for the line perpendicular to y = –1/2x + 11 that passes through (4, –8).

Mathematics
1 answer:
Sophie [7]3 years ago
6 0

Answer:

y = 2x - 16

Step-by-step explanation:

perpendicular lines = have negative-reciprocal slope

slope: -1/2 => negative-reciprocal => 2                                               ↓ slope

substitute (4, -8) and the slope 2 into the slope-intercept form(y = mx + b) to find b:

=> -8 = 2(4) + b => b = -16

plug in the slope 2 and b = -16 to the slope-intercept form:

y = 2x - 16

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Answer:

D.) rational numbers are associative under subtraction

Step-by-step explanation:

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rational numbers are associative under subtraction

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5 0
2 years ago
PLZ HELP QUICK-------------->
sveticcg [70]
<h2>>>> Answer <<<</h2>

Let's check which polynomial is divisible by ( x - 1 ) using hit , trial and error method .

A ( x ) = 3x³ + 2x² - x

The word " divisible " itself says that " it is a factor "

Using factor theorem ;

Let;

=> x - 1 = 0

=> x = 1

Substitute the value of x in p ( x )

p ( 1 ) =

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3 ( 1 ) + 2 ( 1 ) - 1

3 + 2 - 1

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4

This implies ;

A ( x ) is not divisible by ( x - 1 )

Similarly,

B ( x ) = 5x³ - 4x² - x

B ( 1 ) =

5 ( 1 )³ - 4 ( 1 )² - 1

5 ( 1 ) - 4 ( 1 ) - 1

5 - 4 - 1

5 - 5

0

This implies ;

B ( x ) is divisible by ( x - 1 )

Similarly,

C ( x ) = 2x³ - 3x² + 2x - 1

C ( 1 ) =

2 ( 1 )³ - 3 ( 1 )² + 2 ( 1 ) - 1

2 ( 1 ) - 3 ( 1 ) + 2 - 1

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0

This implies ;

C ( x ) is divisible by ( x - 1 )

Similarly,

D ( x ) = x³ + 2x² + 3x + 2

D ( 1 ) =

( 1 )³ + 2 ( 1 )² + 3 ( 1 ) + 2

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8

This implies ;

D ( x ) is not divisible by ( x - 1 )

<h2>Therefore ; </h2>

<h3>B ( x ) & C ( x ) are divisible by ( x - 1 ) </h3>
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3 years ago
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Step-by-step explanation:

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7 0
2 years ago
A book store has twice as many history books as science books. The store has 81 history and science books altogether how many of
atroni [7]

let h= history books

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