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3 years ago

Which linear inequality is represented by the graph?

Mathematics

1 answer:

Serga [27]3 years ago

7 0

Answer:

A. y ≤ 1/2x + 2

Step-by-step explanation:

Well look at the graph,

It is a solid line with it shaded down,

meaning it is y ≤,

So we can cross out B. and D.

So the y intercept is 2, we know this because the y intercept is the point on the line that touches the y axis.

now the slope can be found by seeing how far away each points are from each other,

Hence, the answer is A. y ≤ 1/2x + 2

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xeze [42]

Answer:

about 46

Step-by-step explanation:

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2 years ago

Read 2 more answers

Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 meters ×80 meters

hjlf

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight, we have to find the sum of length of both edges

Let $R_E$ be the distance of route around edges

$R_E = 80+60 = 140\ meters$

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

$H^2 = P^2 + B^2$

In the given scenario

P = 60

B = 80

Now

$H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters$

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

$= 140-100 = 40\ meters$

Hence,

The route across the park is 40 meter shorter than the route around its edges.

7 0

2 years ago

Jake has two pet guinea pigs named fluffy and scruffy. Fluffy is8 1/8 inches long. Scruffy is 10 1/4 inches long. How much longe

miss Akunina [59]

Answer:

Scruffy is $2\frac{1}{8}$ inches longer than Fluffy.

Step-by-step explanation:

Length of Scruffy = $10\frac{1}{4}$ inches

Length of Fluffy = $8\frac{1}{8}$ inches

We have to calculate how much Scruffy is longer than Fluffy.

Difference of their lengths = $10\frac{1}{4}-8\frac{1}{8}$

= (10 - 8) + $(\frac{1}{4}-\frac{1}{8})$

= 2 + $(\frac{2-1}{8})$

= 2 + $\frac{1}{8}$

= $2\frac{1}{8}$ inches

Therefore, Scruffy is $2\frac{1}{8}$ inches longer than Fluffy.

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2 years ago

A store is instructed by corporate to put the markup of 43% on all items. An item costing 7$ is displayed by the manager at sell

Shalnov [3]

Answer:

Selling rice is $10.00

Step-by-step explanation:

The manager put what the markup of $3.00 was to be added onto what the item cost.

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2 years ago

A rectangle has a perimeter of 30 and a length of 10. Find the width.

bonufazy [111]

Answer:

Step-by-step explanation:

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2 years ago