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slega [8]
3 years ago
15

Help please and thank you!!

Mathematics
1 answer:
Virty [35]3 years ago
5 0

Answer:

30 and 17

Step-by-step explanation:

Using Pythagoras' theorem, that is

The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides, thus

(1)

c² = 18² + 24² = 324 + 576 = 900

Take the square root of both sides

c = \sqrt{900} = 30

(2)

c² = 8² + 15² = 64 + 225 = 289

Take the square root of both sides

c = \sqrt{289} = 17


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Translate the sentence into an inequality. Twice the difference of a number and 8 is at least 26 . Use the variable w for the un
Olin [163]
"At least" refers to greater than or equal to (≥).
This is because "at least" means:
- it can't be less than
- it can be equal to
- it can be greater than
This is basically like saying no less than.
If you must have at least 10 oranges for some recipe, then you must have 10 oranges, but you can also have more.

"Twice the difference of a number and 8"
This means that 2 times a number minus 8.
This can be written as 2(w - 8), since w is unknown and it's the difference between w and 8.
The 2 is being multiplied by this because it's 2 times this difference.

"At least 26"
This means ≥ 26.

Now for the actual inequality.
"Twice the difference of a number and 8"
translates to 2(w - 8)
"is at least 26"
translates to ≥ 26
Now put them together.
2(w - 8) ≥ 26

So the answer is 2(w - 8) ≥ 26.

Hope this helps! :)
7 0
3 years ago
Five less than twice the value of a number is equal to three times the quantity of four more than one-half the number. What is t
Artyom0805 [142]

Answer:

2x - 5 = (1/2)

 

4x - 10           [multiply by 2]

 x - 10 = -13                 [subtract 3x from both sides]

  x = -3                        [add 10 to both sides]

Step-by-step explanation:

8 0
3 years ago
Quadrilateral P Q R S is shown. Diagonals are drawn from point Q to point S and from point P to point R and intersect at point M
kobusy [5.1K]
Your anwser for your question is QP Qr and Qrs
7 0
3 years ago
Read 2 more answers
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gulaghasi [49]
So you would add 12 to the other side of the equation, and 9+12=21, so x=21.
7 0
3 years ago
Need help!!! Thank you to whoever answers
djyliett [7]
<h3>Answer:  D)   y+3</h3>

==========================================================

Explanation:

Point A is located at (3,1). Point A' is located at (-5,4)

To move from A to A', we'll do two things:

  • Move 8 units to the left
  • Move 3 units up

The "8 units to the left" portion has us go from x to x-8

The "3 units up" part involves y becoming y+3

So that's how we get the translation rule (x,y) \to (x-8,y+3). The x-8 portion is already filled in for us. The missing part is y+3 which is the final answer (choice D).

Let's try this translation rule on point B to see if we arrive at the proper location of B'

B is at (2,6) which means

(x,y) \to (x-8,y+3)\\\\(2,6) \to (2-8,6+3)\\\\(2,6) \to (-6,9)\\\\

which matches up what the diagram shows. I'll let you verify that the rule also works for point C.

3 0
3 years ago
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