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kaheart [24]
3 years ago
6

What is the following sum in simplest form? sqaure root 8+3 sqaure root 2+ sqaure root 32

Mathematics
1 answer:
Lynna [10]3 years ago
5 0

Answer:

9√2

Step-by-step explanation:

√8 + 3√2 + √32

2√2 + 3√2 + 4√2

√2(2 + 3 + 4)

√2(9)

<em><u>9√2</u></em>

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Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a
Vitek1552 [10]

Answer:

2ab - 6a + 5b - 15

Step-by-step explanation:

Given

2ab - 6a + 5b + \_

Required

Fill in the gap to produce the product of linear expressions

2ab - 6a + 5b + \_

Split to 2

(2ab - 6a) + (5b + \_)

Factorize the first bracket

2a(b - 3) + (5b + \_)

Represent the _ with X

2a(b - 3) + (5b + X)

Factorize the second bracket

2a(b - 3) + 5(b + \frac{X}{5})

To result in a linear expression, then the following condition must be satisfied;

b - 3 = b + \frac{X}{5}

Subtract b from both sides

b - b- 3 = b - b+ \frac{X}{5}

- 3 = \frac{X}{5}

Multiply both sides by 5

- 3 * 5 = \frac{X}{5} * 5

X = -15

Substitute -15 for X in 2a(b - 3) + 5(b + \frac{X}{5})

2a(b - 3) + 5(b + \frac{-15}{5})

2a(b - 3) + 5(b - \frac{15}{5})

2a(b - 3) + 5(b - 3)

(2a + 5)(b - 3)

The two linear expressions are (2a+ 5) and (b - 3)

Their product will result in 2ab - 6a + 5b - 15

<em>Hence, the constant is -15</em>

3 0
3 years ago
How many solutions does this system have?
BigorU [14]

12x - 4y = -8

y = 3x + 2

Rewrite the first equation

12x + 8 = 4y

3x + 2 = y

As you see, the first and second equation are actually the same, meaning there's an infinite number of solutions.

6 0
3 years ago
Read 2 more answers
Radius of 80 meters use 3.14 to find how far she skatws
telo118 [61]
20096m.

Since the radius is 80, the formula is x²×3.14.
80²=6400
6400×3.14=20096
m is the unit
Answer: 20096 meters
4 0
3 years ago
How many years will it take for $2000 to double at a simple interest rate of 8%? Explain how you found your answer​
Luda [366]

maybe a hundred or a thousand years idk so maybe 500 i dont actually know

8 0
2 years ago
If m =2 solve these 3m²-2m-7​
almond37 [142]

Answer:

1

Step-by-step explanation:

m=2

3m²- 2m- 7

3(2)² -2(2) -7

3(4)- 4- 7

12- 4- 7= 1

5 0
2 years ago
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