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Brut [27]
3 years ago
11

Find soluton to x^2-14x+49=25

Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0

\boxed{x=12 \ and \ x=2}

<h2>Explanation:</h2>

In this exercise, we have the following equation:

x^2-14x+49=25

We can write this Quadratic Equation in Standard Form as follows:

x^2-14x+49=25 \\ \\ Subtract \ 25 \ from \ both \ sides: \\ \\ x^2-14x+49-25=25-25 \\ \\ x^2-14x+24=0 \\ \\

So this is a Non-perfect Square Trinomial. To factor out this, let's choose two numbers such that:

  • The sum is -14
  • The product is 24

Those numbers are:

  • -12 and -2
  • SUM: -12-2 = -14
  • PRODUCT: (-12)(-2)=24

So we can write this as:

x^2 + (a + b)x + ab=(x + a)(x + b) \\ \\ a=-12 \\ b=-2 \\ \\  x^2-14x+24=(x-12)(x-2)=0 \\ \\ So \ the \ solutions \ are: \\ \\ \boxed{x=12 \ and \ x=2}

<h2>Learn more:</h2>

Quadratic Ffrmua: brainly.com/question/10188317

#LearnWithBrainly

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Which is the graph of the linear equality 2x-3y&lt;12
WINSTONCH [101]

Answer:

The graph below shows the answer to

2x - 3y < 12

Also shown as

-3y < -2x + 12

Step-by-step explanation:

You can rearrange the inequality by subtracting 2x from both sides to isolate the y.

You now have -3y < 12 -2x

which can be put into the standard linear equation form of

-3y < -2x + 12

Then you divide both sides by -3 to get singular value of y, which is something like

-3/-3y < -2/-3x + 12/-3

which is

y > 2/3x -4

Note: I switched direction of the inequality because you are dividing both sides by a negative value.

7 0
3 years ago
Jonathan put ice cream in the freezer, and the ice cream remained frozen.
Phantasy [73]

Answer:

C- Based on the data, this is an example of causation

Step-by-step explanation:

This is because by him putting the ice cream into a freezing area, the ice cream remained frozen. Imagine if he put in in a warm area, it would melt. Hope this helps!

8 0
3 years ago
Read 2 more answers
234.A<br><br> 124/B<br><br> 136.B<br><br> 156.D
makvit [3.9K]
I think it’s D. 156 degrees
7 0
3 years ago
Please help<br><br>answer choices are:<br><br>A. 46°<br><br>B. 67°<br><br>C. 115°<br><br>D. 134°​
bekas [8.4K]

Answer:

134°

Step-by-step explanation:

∠BAC = ∠BCA because it is an isosceles triangle

∠XCA = ∠XAC .  Congruent angles

∠XAC = 1/2(46) = 23° .  because CE bisects ∠ C

∠XCA = 23°

180° - 23° - 23° = 134° .  Sum of all angles in a triangle is 180°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

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