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defon
3 years ago
6

The numbers 45 28 53 form a pythagorean triple true or false

Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0
You can verify this by plugging the numbers into the Pythagorean theorem, a^2+b^2=c^2, where c is the hypotenuse (the longest side, in this case 53).

So it would be: 28^2 + 45^2 = 53^2
The equation is true.
2809 = 2809

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3 years ago
4x + 2y = -12 3x + y = -10 please help system by substitution.
padilas [110]

Answer:

(-4, 2)

Step-by-step explanation:

4x+2y=-12

3x+y=-10

Start by dividing the first equation by 2 to simplify it...

2x+y=-6

Then, subtract -2x from both sides to isolate y...

y=-2x-6

Substitute -2x-6 for y in the second equation...

3x-2x-6=-10

Combine like terms...

x-6=-10

Add 6 to both sides

x-6+6=-10+6

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Plug -4 in for x to solve for y:

3(-4)+y=-10

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Add 12 to both sides

-12+12+y=-10+12

y=2

(x,y)=(-4,2)

3 0
3 years ago
Please help first person to answer correctly gets 50 and marked as brainly
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2 years ago
Look at picture <br>y=_<br><br>the height of the baseball after 5 seconds is ___ feet​
Wittaler [7]

Answer:

  • y = -2(x -3)² +24
  • 16 feet

Step-by-step explanation:

We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...

  y = a(x -3)² +b

Filling in the values from the first two table points, we get

  For (x, y) = (0, 6):

     6 = a(0 -3)² + b       ⇒   9a +b = 6

  For (x, y) = (2, 22):

     22 = a(2-3)² +b       ⇒   a +b = 22

Subtracting the second equation from the first gives ...

  (9a +b) -(a +b) = (6) -(22)

  8a = -16 . . . . . . collect terms

  a = -2 . . . . . . . . divide by 8

The second equation above tells us ...

  b = 22 -a = 22 -(-2) = 24

So, our equation for y is ...

  y = -2(x -3)² +24

__

The value of y for x=5 is ...

  y = -2(5 -3)² +24 = 16

The height of the ball after 5 seconds is 16 feet.

5 0
3 years ago
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