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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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A pitcher can hold 5. 2 liters of water. How many 0. 4 liter glasses of water can be poured from the pitcher?
gogolik [260]

The number of 0.4 liter glasses of water that will be poured in the pitcher is 13

From the information given, we are being told that a pitcher can hold a maximum amount of 5.2 liters of water.

If we are to use a 0.4 liter of glass to pour water in the pitcher, then the number of times we will use the glass to pour water in the pitcher can be estimated as:

Number of glass that can fill the pitcher = 5.2 liters/ 0.4 liters

= 13 glass

Learn more about solving word problems in mathematics here:

brainly.com/question/2121480?referrer=searchResults

7 0
2 years ago
the annual income of Sam is $37,368 . what is his monthly income if he earns an equal amount every month​
max2010maxim [7]

Answer:

\huge\boxed{\sf  \$ 3,114}

Step-by-step explanation:

Annual Income of Sam = $37,368

To find the monthly income (given that he earns an equal amount of money every month), we can divide the annual income by 12. (Each year has 12 months)

<u>Monthly Income:</u>

= $37,368 / 12

= $3,114

\rule[225]{225}{2}

7 0
3 years ago
Y=2x<br> y=12-x<br><br> systems of equations
Charra [1.4K]

Answer:

x=4 y=8

Step-by-step explanation:

y=2x

y=12-x

Substituiting y value from first equation into second equation.

2x=12-x

3x=12

x=4

y=2(4)=8

y=12-4=8

6 0
3 years ago
Homework help...Last question: Estimate the product of 15.217 × 9.54. Round each number to the nearest whole number.
neonofarm [45]
I rounded it to 150.

You could round 15.217 down to 15 and 9.54 up to 10 and then multiply 15 x 10 = 150. But you could also multiply 15.217 x 9.54 to get 145.17018 and round that up to 150 because any number that ends with 5 or higher rounds up.

7 0
4 years ago
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