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EleoNora [17]
3 years ago
11

Find the distance between A(-2,3) and B(11,-15)

Mathematics
1 answer:
WITCHER [35]3 years ago
6 0
U need to draw the orthonormal system to indicate
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A swimming pool holds 250,000 gallons of water and is being drained at 200 gallons per minute. How many gallons remain in the po
seropon [69]

Answer:

After 5 minutes, the pool will hold 249,00 gallons of water.

After 20 minutes, the pool will hold 246,000 gallons of water.

6 0
2 years ago
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Which of the following equations describes the graph?
san4es73 [151]

Answer:

Option D  y=-3x^2 +4

Step-by-step explanation:

This is the correct answer because the graph is going down which shows that it is negative and the y intersect is +4

7 0
3 years ago
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ASAP! Due tomorrow! 25 points! Read the word problem. Write an equation to represent the word problem. Solve the equation. Durin
Marrrta [24]
What you gotta take from this problem:

What Joe got during break = 2t+2

What his sister gave him = 3t

What he has total = 10 tadpoles.


Now to assemble this equation:

2t+2+3t=10

Now combine like terms to get 5t+2=10

Subtract 2 on each side of the equation to get 5t=8

Now you would divide 5 on each side and get t=1.6 , however since you can't have a .6 of a tadpole, you would have to round it up to 2.
7 0
3 years ago
Please help. Don’t understand this math problem!
oksian1 [2.3K]

Answer:

  { 4 }

Step-by-step explanation:

First you need to solve the equation. Then you need to write the solutions as a set.

__

I like to use a graphing calculator to solve equations involving roots. That helps avoid extraneous solutions. Here, the graph of the left side intersects the graph of the right side at x=4. There is exactly one solution, so the solution set is ...

  { 4 }

__

Solving this algebraically, you would isolate the radical, then "undo" it by squaring both sides of the equation. Then solve the resulting quadratic. That will have 2 solutions, only one of which will work in the original equation.

  √(5x +16) -2 = 3x -8 . . . . given

  √(5x +16) = 3x -6 . . . . . .  add 2

  5x +16 = (3x -6)^2 . . . . .  square both sides

  5x +16 = 9x^2 -36x +36 . . . . expand the square

  9x^2 -41x +20 = 0 . . . . . . subtract (5x+16) to put into standard form

Factors of 9·20 = 180 that have a sum of 41 are 5 and 36, so we can rewrite this equation as ...

  9x^2 -36x -5x +20 = 0

  9x(x -4) -5(x -4) = 0 . . . . . . factor by pairs

  (9x -5)(x -4) = 0

The values of x that make this equation true are the values that make the factors be zero: 5/9 and 4. Trying these in the equation, we find ...

  √(5(5/9) +16) -2 = 13/3 -2 = 2 1/3 . . . . value of the left side for x = 5/9

  3(5/9) -8 = -6 1/3 . . . . . . value of the right side for x=5/9; not the same

  x = 5/9 is NOT A SOLUTION

__

  √(5(4)+16) -2 = √36 -2 = 4 . . . . value of the left side for x = 4

  3(4) -8 = 12 -8 = 4 . . . . . . value of the right side for x=4. These are the same, so ...

  x = 4 is a solution

The set of solutions is then ...

  { 4 } . . . . . solution set

5 0
3 years ago
A statement and portions of the flowchart proof of the statement are shown.
Sedaia [141]

In box 1, the reason that justifies the statement, m∠BAD = m∠BAC + m∠CAD, is: angle addition postulate.

<h3>What is the Angle Addition Postulate?</h3>

The angle addition postulate states that the measure of a larger angle equals the sum of smaller angles that make up the larger angle.

∠BAD comprises of ∠BAC and ∠CAD.

Therefore, based on the angle addition postulate, m∠BAD = m∠BAC + m∠CAD.

The missing reason in box 1 would be: angle addition postulate.

Learn more about angle addition postulate on:

brainly.com/question/24782727

#SPJ5

8 0
1 year ago
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