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Oksi-84 [34.3K]
2 years ago
10

Do the following lengths satisfy the Pythagorean Theorem? Lengths =14, 50, 48. Yes No

Mathematics
1 answer:
seraphim [82]2 years ago
6 0

Answer:

  yes

Step-by-step explanation:

  14² +48² = 196 +2304 = 2500 = 50²

The three lengths (14, 48, 50) are a Pythagorean triple.

__

<em>Additional comment</em>

The two smaller numbers correspond to side lengths. The larger one corresponds to the hypotenuse length.

We typically write the numbers of a Pythagorean triple in increasing order, but the order doesn't really matter. As sides of a triangle, the triangle formed is a right triangle, regardless of the order.

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A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
Mamont248 [21]

9514 1404 393

Answer:

   2440

Step-by-step explanation:

The difference in fixed costs is ...

  37815 -16465 = 21350

The difference in variable costs is ...

  20.50 -11.75 = 8.75 . . . . per book

Then the number of books that must be produced for the difference in variable costs to be equal to the difference in fixed costs is ...

  21350/8.75 = 2440

For production of 2440 books, the costs of the two methods will be the same.

_____

<em>Additional comment</em>

You can write expressions for total cost of each production method. When you set them equal and solve for the number of books, you find the math you end up doing is the same as that shown above.

4 0
3 years ago
Pleas help me if you can
Helga [31]
Just use the word bank to fill in the blanks. Each letter they give you in the picture is the beginning of the words. So the first one to the left is a C______ and f_____ that would be Cold front.  Do the same for the others.
6 0
3 years ago
what do the following two equations represent? please help 4x+2y= 10 4x-2y= -10 a) the same line b) distance parallel lines c) p
Lady bird [3.3K]

Answer:

D

Step-by-step explanation:

The equations are

● 4x + 2y = 10 (1)

● 4x - 2y = -10 (2)

● 4x + 2y = 10

Add - 4x to both sides

● 4x + 2y -4x = 10 -4x

● 2y = 10 -4x

Divide both sides by 2

● 2y/2 = (10 - 4x)/2

● y = 5 - 2x

● y = -2x + 5 (1)

● 4x - 2y = -10

Add -4x to both sides

● 4x -2y -4x = -10 - 4x

● -2y = -10 - 4x

Divide both sides by -2

● -2y/-2 = (-10 -4x)/-2

● y = 10 + 2x

● y = 2x + 5 (2)

So the equation are

● y = 2x + 5

● y = -2x + 5

Graph them

The lines intersect at (0,5) but aren't perpendicular

So the answer is d

8 0
3 years ago
What’s 5+5 please help me on this question
Serjik [45]

Answer:

10

Step-by-step explanation:

5 adding 5=10

3 0
3 years ago
Can someone help me find an equation for both of these ❤️
Nitella [24]

Answer and Step-by-step explanation:

<u><em>First equation:</em></u>

y = -4x + 9

This equation has a negative slope (a slope that does downwards) and has a positive y-intercept (at (0, 9)).

<em><u>Second Equation:</u></em>

y = -4x - 4

This equation is parallel to the first line because it has the same slope. It also has a negative y-intercept (at (0, -4)).

<u><em>#teamtrees #PAW (Plant And Water)</em></u>

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3 years ago
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