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gavmur [86]
3 years ago
8

Find the length of the unknown leg of the right triangle.

Mathematics
1 answer:
Ainat [17]3 years ago
5 0

Answer:

Step-by-step explanation:

a² + b² = c²

side1² + side2²  = hypotenuse²      side 1 = 6.75       hypotenuse = 11.25

                                                        solve for     side 2 = ???

side2²  =  hypotenuse²  -  side1²

side2  =  \sqrt{hypotenuse^2 - side1^2}

          = √(11.25² - 6.75²)

          = √(126.56 - 45.56)

          = √(81)

side 2 = 9

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Y is inversely proportional to (x+2)² when x=1, y=2
REY [17]

Answer:

y = 18 / (x + 2)²

Step-by-step explanation:

Inversely proportional

y * (x + 2)² = k

when x=1, y=2

k = 2 * (1 + 2)²

k = 18

-----------------------

y * (x + 2)² = 18

Divide both sides by (x + 2)²

y = 18 / (x + 2)²

6 0
3 years ago
Parker is having a birthday party. He is inviting 8 of his friends. He wants to give each friends 2 stickers in their goodie bag
ch4aika [34]

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16

Step-by-step explanation:

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2 years ago
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The graph shows the dilation of ΔABC with the origin as its center. Which rule describes this transformation? A) (x, y) → (2x, 2
podryga [215]

<u><em>Note: Since, you have not added the graph. So, I will give you a general overview of the concept of dilation, the understanding of which will make you clear your concept.</em></u>

Step-by-step explanation:

We know that a dilation is the kind of transformation which produces an image which has the same shape as the original object, but having a different size.

Here are some key factors regarding dilation:

  • Enlargement occurs when a dilation does create a larger image.
  • Reduction occurs when a dilation does create a smaller image.
  • A dilation shrinks or stretches the original object.
  • If the scale factor > 1, the image will be a stretch (enlargement)
  • If the scale factor is between 0 and 1, the image will be shrunk (reduction)
  • If the scale factor = 1, the original object and the image will be congruent

Here is the impact of dilation when (x, y) → (2x, 2y):

  • Dilation with scale factor 2, will have the rule as (x, y) → (2x, 2y). The image will be a stretch (enlargement) as the scale factor > 1.
  • The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 2.

For example, the coordinates of the image of a point A(4, 8) will be A'(2×4, 2×8) or A'(8, 16) after the dilation of scale 2 at the origin.

Here is the impact of dilation when (x, y) → (0.5x, 0.5y):

  • Dilation with scale factor 0.5, will have the rule as (x, y) → (0.5x, 0.5y). The image will be shrunk (reduction) as the scale factor < 1.
  • The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 0.5.

For example, the coordinates of the image of a point A(4, 8) will be A'(0.5×4, 0.5×8) or A'(2, 4) after the dilation of scale 0.5 at the origin.

Keywords: dilation, transformation, enlargement, reduction

Learn more about dilation from brainly.com/question/13846651

#learnwithBrainly

8 0
3 years ago
Drag and drop numbers into the boxes so that the paired values are in a proportional relationship.
mezya [45]

Answer:

A=6 and B=4.5

Step-by-step explanation:

You are given table

\begin{array}{cccccc}x&2&4&[A]&7&9\\y&1&2&3&3.5&[B]\end{array}

If the paired values are in a proportional relationship, then

\dfrac{2}{1}=\dfrac{4}{2}=\dfrac{[A]}{3}=\dfrac{7}{3.5}=\dfrac{9}{[B]}.

Note that

\dfrac{2}{1}=\dfrac{4}{2}=\dfrac{7}{3.5}=2,

then

\dfrac{[A]}{3}=2\Rightarrow [A]=6,\\ \\\dfrac{9}{[B]}=2\Rightarrow [B]=\dfrac{9}{2}=4.5.

4 0
3 years ago
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