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zhannawk [14.2K]
3 years ago
6

How are slopes and y intercepts to the number of solutions of a system of the liner

Mathematics
1 answer:
Leona [35]3 years ago
7 0
We assume a linear system with 2 variables.


If the slopes are the same, and y-intercepts are different, there are 0 solutions.

If the slopes are different, there is 1 solution.

If the slopes are the same, and the y-intercepts are the same, there are ∞ solutions.
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Are a and c the same?
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9. Khalid drove 66 miles on 3 gallons of gasoline. Which is the number of miles he could drive on 12 gallons of gasoline?
IrinaK [193]

Answer:

264 miles

Step-by-step explanation:

Find the unit rate (mpg):

 66 miles

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On 12 gallons he could drive (22 mpg)(12 gallons) = 264 miles

8 0
3 years ago
A girl ran from her home to a store at the rate of 6 mph, and she walked back home at the rate of 4 mph. if it took 15 minutes f
viva [34]

Home is 0.6 miles away from the store

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed x Time

Given:-

Total time taken by girl to complete the trip = 15 minutes = \frac{1}{4} hours

Speed while riding going = 6 miles per hour

Speed while coming back = 4 miles per hour

Total time taken by girl  =

Time taken while going +   Time taken while coming back      - (1)

  Let x be distance from home to store

       \frac{x}{6} =  Time taken while going

\frac{x}{4} = Time taken while coming back

    Substituting in (1) we get

      \frac{1}{4} =  \frac{x}{6} + \frac{x}{4}

      \frac{1}{4} =  \frac{2x + 3x}{12}

       \frac{1}{4} =  \frac{5x}{12}

      x= \frac{12}{20}

    x = 0.6 miles

Thus home is 0.6 miles away from the store

Learn more about time related  here :

brainly.com/question/12759408

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6 0
1 year ago
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
wolverine [178]

Answer:

y=3/2x+1

Step-by-step explanation:

y-4= -⅔(x-6)

y-4=-⅔x+4

y=-⅔x+4+4

(equation of line 1) y= -⅔x+8 gradient= -⅔

(line 2)gradient=3/2

note* the gradients of perpendicular lines multiplied result to -1

gradient=<u>y²-y²</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>x²-x¹

<u>3</u><u> </u>=<u>y</u><u>+</u><u>2</u>

<u> </u><u> </u>2. x+2

multiply both sides by 2(x+2)to remove the denominators

3(x+2)=2(y+2)

3x+6=2y+4

3x+6-4=2y

3x+2=2y

divide all sides by 2

3/2x+1=y

y=3/2x+1

8 0
3 years ago
The following histogram shows the number of items sold at a grocery store at various prices:
monitta

Answer:

<h2><u><em>its B</em></u></h2>

Step-by-step explanation:

8 0
3 years ago
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