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Lina20 [59]
2 years ago
8

Simplify (2x2−4x+5)+(x2+3x−7)and put in standard form.

Mathematics
2 answers:
elena-s [515]2 years ago
6 0

Answer:

3x^2 - x - 2 (simplified)

3x^2 - x = 2 (standard form)

Step-by-step explanation:

Pavlova-9 [17]2 years ago
3 0

Answer:

3x^2 - x - 2

Step-by-step explanation:

<u>Step 1:  Combine like terms</u>

(2x^2- 4x + 5) + (x^2 + 3x - 7)

2x^2 - 4x + 5 + x^2 + 3x - 7

(2x^2 + x^2) + (-4x + 3x) + (5 - 7)

3x^2 - x - 2

Answer:  3x^2 - x - 2

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Maksim231197 [3]
What does part a mean i dont understand
4 0
3 years ago
An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

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

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0
3 years ago
What is -3 -4 in integers
PolarNik [594]
They are intergers hoped this help
7 0
4 years ago
Read 2 more answers
88 inches per second into miles per day
Art [367]
88 inches per second =120 miles/ day
4 0
4 years ago
Read 2 more answers
Simplify the following 7 times the square root of 54 - 2 times the square root of 24
EleoNora [17]
The first step for solving this problem is to simplify the radical
7\sqrt{54 - 2} x 2√6
Calculate the product
14\sqrt{(54 - 2) X 6}
Subtract the numbers
14\sqrt{56 x 6}
Simplify the radical
14 x 2\sqrt{13 x 6}
Multiply the numbers
14 x 2√78
Finally,, calculate the product for your final answer
28√78
Let me know if you have any further questions
:)
4 0
4 years ago
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