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stira [4]
3 years ago
12

Which equation represents a line which is perpendicular to the line 5x + 2y = 12?

Mathematics
1 answer:
o-na [289]3 years ago
7 0

Answer:

<h2>          y = ²/₅ x - 3</h2>

Step-by-step explanation:

Changing to slope-intercept form:

5x + 2y = 12         {subtract 5x from both sides}

2y = -5x + 12         {divide both sides by 2}

y = -⁵/₂ x + 6

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y =-⁵/₂ x + 1    ⇒     m₁ =  -⁵/₂

-⁵/₂× m₂ = -1      ⇒   m₂ = ²/₅

So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅

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Roberto wants to display his 18 sports cards in an album . Some pages hold 2 cards and others hold 3 cards .
nexus9112 [7]

Answer:

Step-by-step explanation:

Assuming Roberto wants to completely fill each page that he puts cards in, this function describes the number of 2-card pages, a, and 3-card pages, b.

2a + 3b =18

Ricardo can fill up 9 2-card pages, and 6 3-card pages.

a=9, b=0

We must add 2 3-card pages at a time,so that we have an even number for the 2-card pages:

a=6, b=2

Add 2 to b once more:

a=3, b=4

One more time:

a=0, b=6:

Thus, Ricardo can display his figures in the following page combinations:

a=9, b=0

a=6, b=2

a=3, b=4

a=0, b=6

Remember that a= number of 2-card pages and b=number of 3-card pages

There are 4 different ways that Ricardo can arrange his figures in terms of what kind of pages he uses. 

3 0
3 years ago
I’m confused someone explain please
Naya [18.7K]

Answer:

3(x - 12)(x + 2)

Step-by-step explanation:

Given

3x² - 30x - 72 ← factor out 3 from each term

= 3(x² - 10x - 24) ← factor the quadratic

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 12 and + 2 , since

- 12 × 2 = - 24 and - 12 + 2 = - 10 , thus

x² - 10x - 24 = (x - 12)(x + 2) and

3x² - 30x - 72 = 3(x - 12)(x + 2)

3 0
3 years ago
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This is an acute triangle
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3 years ago
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melamori03 [73]

Answer:

x=54

Step-by-step explanation:

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2 = x - 52

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54 = x

7 0
3 years ago
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