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Triss [41]
3 years ago
15

Rewrite square root of 36 as a product of two square roots of perfect squares.

Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0

Answer:

Step-by-step explanation\sqrt{6  . \sqrt{6

You might be interested in
Find the domain of the rational function.<br><br> C(x) = x+9/X^2 -16
scoundrel [369]

Answer:

Domain = {x : x ≠ 4 , -4}  or  (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)

Step-by-step explanation:

<u>TO FIND :-</u>

  • Domain of C(x) = \frac{x + 9}{x^2 - 16}

<u>SOLUTION :-</u>

Domain of a function is a value for which the function is valid.

The function C(x) = \frac{x + 9}{x^2 - 16} is valid until the denominator is 0.

So make sure that the denominator must not be 0.

=> x^2 - 16 > 0

Find the values of x for which the denominator becomes 0. To find it , you'll have to solve the above inequality.

  • Add 16 to both the sides

=>x^2 - 16 + 16 > 0 + 16

=> x^2 > 16

=> x > \sqrt{16}

=> \boxed{x > 4} \: or \:\boxed{x > -4}

We can say that <u>4 & -4 can't be domains</u> because these values will make the function undefined.

Now try putting values of x such that -4 < x < 4. You'll observe that the function will be valid for all those values of x between -4 & 4.

<u>CONCLUSION :-</u>

The function will be valid for any value of 'x' except 4 & -4. So in :-

Interval notation , it can be written as → (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)

Set builder notation , it can be written as → {x : x ≠ 4 , -4}

6 0
3 years ago
10. Amina is currently twice as old as her younger brother,
maks197457 [2]

Answer:

When Amina is 18. Saad would be;

k. 14

Step-by-step explanation:

Let "x" represent Anita's current age and let "y" represent Saad's current age, we have;

Anita's age = 2 × Saad's age

Therefore;

x = 2 × y...(1)

In 4 years, we will get;

x + 4  = 1.5 × (y + 4)...(2)

Substituting the value of x in equation (1) into equation (2), we get;

2·y + 4 = 1.5·y + 1.5 × 4 = 1.5·y + 6

2·y + 4 = 1.5·y + 6

2·y - 1.5·y   = 6 - 4 = 2

0.5·y = 2

y = 2/0.5 = 4

Saad's current age = y = 4 years

From equation (1), we have;

x = 2 × y = 2 × 4 = 8

Amina's current age = x = 8 years

When Amina is 18, we have;

18 = 10 + 8 = 10 + x

Therefore, Amina would be 18 in 10 years time from now, from which we have;

Saad would be 10 years + y = 10 years + 4 years = 14 years in 10 years from now

Therefore, when Amina would be 18 years in 10 years from now Saad would be 14 years.

6 0
3 years ago
I don't understand help please :(
Sonbull [250]
This means that 10% of the total number of chickens Cam has is 11. If 10% of a number is 11, 100% of the chickens should be 110.
7 0
3 years ago
Part C
BabaBlast [244]

Answer:

The expression from part B is = (1 • 2) • (106 • 10-8).

Multiply the first factors.

1 • 2 = 2

Multiply the powers of 10 using this property of exponents: anam = an + m.

106 • 10-8 = 106 + (-8) = 10-2

The expression is 2 × 10-2.

Step-by-step explanation:

This is Plato and edmentumm sample response. Please paraphrase other wise you will get in trouble. I'm sorry if I'm late!

7 0
2 years ago
Please help!
svet-max [94.6K]

Answer:

B?, lmk if it's wrong lol

7 0
3 years ago
Read 2 more answers
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