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2 years ago

Solve the inequality. graph the solution given below 2 < -y/5

Mathematics

1 answer:

user100 [1]2 years ago

6 0

Answer:

$y$

Step-by-step explanation:

$2$

Switch sides

$\frac{-y}{5} >2$

Multiply both sides by 5

$\frac{5(-y)}{5}>2*5$

Simplify

$-y>10$

Multiply both sides by -1 (reverse the inequality)

$(-y)(-1)$

Simplify

$y$

Graph down below.

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When flying from Florida to the Philippines island why does the shortest route pass through Alaska?

seraphim [82]

Because the earth is round, the distance seen on a flat map is a lot further than the distance on a globe, because of distortion. So following the circle that goes through these 3 points ( Florida, Alaska and the Philippines) it is a shorter distance to fly over Alaska.

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3 years ago

The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 26 cm. What are the dime

iris [78.8K]

Let w and l be the length and height of the rectangle.

We know that:

$\begin{cases}l = 2w-5\\2(l+w)=26\end{cases}$

Substitute the first equation in the second:

$2(l+w)=26 \iff l+w=13 \iff 2w-5+w=13 \iff 3w = 18 \iff w=6$

Use the first equation to compute the length:

$l=2\times 6 - 5 = 12-5=7$

So, length = 7 cm; width = 6 cm

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3 years ago

Describe the image D first reflected across line I then across line m.

AleksAgata [21]

Answer:

Please check the attached figure to determine the new orientation of image D after first reflecting across line l and then across line m.

Step-by-step explanation:

Describe the image D first reflected across line I then across line m.

In mathematics, a reflection can be termed as just a "flipping" or an "overturn "of an object over a certain axis or line - commonly known as the line of reflection - without altering the shape and size of the original object, though facing in opposite directions.

First Step: 

After the first reflection of letter D across the line l, it would again be a letter D. But the letter D would be a "turned D" letter, though having the same size but locating itself to the right side of the line l as shown in figure. The letter "Turned D" will have its curved side facing the left.

Hence, after the first reflection of letter D across the line l, the "turned D" will have its curved side facing the left, would be having same size but locating to the right side of the line l and also having located to the left side of line m as shown in figure.

Second Step: 

After the second reflection across the line m, it would again convert, flip or overturn the the letter to the original object or letter, and its curved side again facing the right (original shape) , but now it would be locating itself to the right side of the line m as shown in figure.

So, new orientation of the image D is attached below.

Keywords: reflection, reflection across line

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