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dalvyx [7]
3 years ago
12

Factor completely over the set of complex numbers using the factoring pattern. 25m^2 + 36

Mathematics
1 answer:
Oliga [24]3 years ago
4 0

Answer:

(5m+6)² - 60m

Step-by-step explanation:

Given:

25m² + 36

Find:

Factor

Computation:

25m² + 36

(5m)² + (6)²

a² + b² = (a+b)² - 2(a)(b)

So,

(5m)² + (6)² = (5m+6)² - 2(5m)(6)

(5m)² + (6)² = (5m+6)² - 60m

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X^2+4x+20=12x-5<br><br> Solve this equation
Scrat [10]

Answer:

4 + (or -) 3i

Step-by-step explanation:

Hi!

Alright, so we're going to move all of the variables and constants to one side. Then, using the quadratic formula, we'll find the answer.

1. Move 12x-5 to the left side of the equation by

  a. Subtracting 12x from both sides

  b. adding 5 to both sides.

1: x^2+4x+20-12x+5

2. Group the common terms

  x^2+4x-12x+20+5 --> x^2-8x+25

3. Look at the problem. We can't factor this.

Explanation for why this isn't factorable (you can skip this)

(1) 25 is positive, so its two factors will both be either positive or negative. We're looking for a negative 8, so let's go with negative.

(2) Factors of 25: 1 & 25, 5 &5

Seeing the problem? Ya, none of the factors of 25 sum to eight. So, instead, we're going to use the quadratic formula.

4.  So, the quadratic formula: \frac{-b+-\sqrt{b^2-4ac} }{2a}

Our equation is x^2-8x+25=0

a is the constant in front of the x^2

b is the constant in front of the x

c is the term without any x values

so, a=1, b=-8, and c= 25

Into equation:

\frac{8+-\sqrt{64-4(1)(25)} }{2a}=\frac{8+-\sqrt{64-100} }{2}=\frac{8+-\sqrt{-36} }{2}

8/2 = 4

sqrt(-36) = 6i

6i/2 = 3i (remember, we still have the two in the denominator)

4 + (or -) 3i

8 0
2 years ago
Read 2 more answers
Enter an
bekas [8.4K]

Answer:

9 - n

Step-by-step explanation:

could you make me brainliest if this helped? :)

6 0
2 years ago
what is the maximum volume of water a hamster bath can hold with a depth of 1 2/3, a length of 2 1/3 inches, and a width of 2 in
8_murik_8 [283]
The volume is 70/9 or 7 7/9.
=========================================
\frac{5}{3}  \times  \frac{7}{3}  \times  \frac{2}{1}  =  \frac{70}{9}
\frac{70}{9}  = 7 \frac{7}{9}
l \times w \times h = v
4 0
3 years ago
Read 2 more answers
How much more interest will Maria receive if she invests $1,000 for one year at x percent annual interest, compounded semiannual
notka56 [123]

Answer:

  $0.025x² . . . where x is a number of percentage points

Step-by-step explanation:

The multiplier for semi-annual compounding will be ...

  (1 + x/2)² = 1 + x + x²/4

The multiplier for annual compounding will be ...

  1 + x

The multiplier for semiannual compounding is greater by ...

  (1 + x + x²/4) - (1 + x) = x²/4

Maria's interest will be greater by $1000×(x²/4) = $250x², where x is a decimal fraction.

If x is a percent value, as in x = 6 when x percent = 6%, then the difference amount is ...

  $250·(x/100)² = $0.025x² . . . where x is a number of percentage points

_____

<u>Example</u>:

For x percent = 6%, the difference in interest earned on $1000 for one year is $0.025×6² = $0.90.

3 0
3 years ago
How do I solve this?
patriot [66]
You already know that y equals -4. It says that x equals 3, so multiply the -4 by 3 and because it has a negative number and a positive number it will equal -12. Remember anytime you see a letter after a number it means multiply. The complete problem should be -10 because 2 is a whole number you subtract it from -12. Hope that helped you out some.
6 0
3 years ago
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