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Lunna [17]
4 years ago
10

The GCF of the following numbers. 32 and 40

Mathematics
1 answer:
Simora [160]4 years ago
4 0
The answer should be 8.
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Define direction of vector​
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Answer:

the direction of vector is the right

Step-by-step explanation:

6 0
3 years ago
If x = 5-2√6, find the value of:<br>(i) x + 1/x<br>(ii) x² + 1/x²<br>Please solve ASAP​
Vitek1552 [10]

Answer:

  1. x+(1/x) = 10 and
  2. x²+ (1/x²) = 98

Step-by-step explanation:

Given that :

x = 5-2√6

1/x = 1/(5-2√6)

The denominator = 5-2√6

The Rationalising factor of 5-2√6 = 5+2√6

On Rationalising the denominator then

⇛ 1/x = [1/(5-2√6)]×[(5+2√6)/5+2√6)]

⇛ 1/x = (5+2√6)/[5-2√6)(5+2√6)]

⇛ 1/x = (5+2√6)/[5²-(2√6)²]

Since (a+b)(a-b) = a²-b²

Where ,

  • a = 5 and
  • b = 2√6

⇛1/x = (5+2√6)/(25-24)

⇛ 1/x = (5+2√6)/1

⇛ 1/x = 5+2√6

Now,

x +(1/x)

⇛ 5-2√6+5+2√6

⇛ 5+5

⇛ 10

Therefore, x+(1/x) = <u>10</u><u>.</u>

On squaring both sides then

⇛ [x+(1/x)]² = 10²

⇛ x²+2(x)(1/x)+(1/x)² =100

⇛ x²+2+(1/x)² = 100

⇛ x²+(1/x²) = 100-2

⇛ x²+(1/x²) = 98

Therefore, x²+(1/x²) = <u>98.</u>

<u>Read </u><u>more</u><u>:</u>

Similar questions;

Check all that apply. 2(x + 2) + 2 = 2(x + 3) + 1 2x + 3(x + 5) = 5(x – 3) 4(x + 3) = x + 12 4 – (2x + 5) = 1/2 (–4x – 2) 5(x + 4) – x = 4(x + 5) – 1.....

brainly.com/question/24697983?referrer

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3 years ago
-2x^2-20x-46<br> How would you solve this?
asambeis [7]

Answer:

-2x^2-20x-46

Step-by-step explanation:

-2(x^2)-20x-46

-2(x^2) -2(10x)-46

-2(x^2)-2(10x)-2(23)

-2(x^2+10x)-2(23)

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The functions f(x) = (x + 1)2 − 2 and g(x) = −(x − 2)2 + 1 have been rewritten using the completing-the-square method. Is the ve
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Answer:

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The reasoning is the same in each case: the sign of the coefficient of the squared term indicates the direction the parabola opens. If it opens upward, the vertex is a minimum; if it opens downward, the vertex is a maximum.

f(x) -- the sign of the squared term is positive, so the vertex is a <em>minimum</em>.

g(x) -- the sign of the squared term is negative, so the vertex is a <em>maximum</em>.

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What is the maximum volume of water this aquarium can hold ?
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