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White raven [17]
2 years ago
15

Solve the equation √x-6 +2=6

Mathematics
1 answer:
Dovator [93]2 years ago
8 0

Answer:

x = 22

Step-by-step explanation:

\sqrt{x-6} + 2 = 6 ( subtract 2 from both sides )

\sqrt{x-6} = 4 ( square both sides to clear the radical )

x - 6 = 4² = 16 ( add 6 to both sides )

x = 22

You might be interested in
6. Jessie sorted the coins in her bank. Shemade 7 stacks of 6 dimes and 8 stacksof 5 nickels. She then found 1 dime and1 nickel.
Leokris [45]
Lets write down the information that we know.

Jessie has 7 stacks of 6 dimes, so Jessie has a total of 6*7 dimes

Dimes=7*6=42dimes  

Jessie has 42 dimes, but then she found another one so lets add one more dime.

42+1=43 dimes

Jessie has 8 stacks of 5 nickels, so Jessie has 8*5 nickels

Nickels=8*5=40nickels

Jessie has 40 nickels, but then she found another one so lets add 1 to the total number of nickels.

40+1=41nickels

Now we can answer the question.

How many dimes and nickels does jessie have in all?

nickels+dimes=
41+43=84 coins

Jessie has 84 coins in total
3 0
3 years ago
Read 2 more answers
Evaluate the following expression<br> 1/5^-2
Kitty [74]

Answer:

25

Step-by-step explanation:

If (1/5)^2 equals 1/25, then (1/5)^-2 should be the opposite.

(1/5)^-2 equals 25

6 0
3 years ago
Help me in number 3!!!
Alecsey [184]
Answer: G

Explanation/Calculation:

You can clearly see that the white shapes are positive while the black shapes are negative. You can determine this because all (except F) claim that the 6 shapes are negative.

To make it easier, use elimination. It's definitely not J because you are not subtracting -6, but adding (as seen in the equation.) It is not F because 2(3)=6 when the equation needs -6.

So it is either G or H...

H claims that 12x+3+(-6) is what the model symbolizes; but this is incorrect. Unless x is a decimal, you can not have the large shape as the "purest" form (so to speak.) The "purest" state you can go in this model is a cube/square which=1.

Therefore, "G Jamey modeled 12 + 3x + (-6) and it is equivalent to 12x-3" is the correct answer.

Hope this helps you!
8 0
3 years ago
Enter the sum of numbers as a product of their GCF. 75 + 30 The sum of the numbers as a product of their GCF is
Oksanka [162]

Answer: 75+30 = 15 x 7

Step-by-step explanation:

The given expression is 75+30 (=105) which defines the sum of 75 and 30.

Prime factorization of 75 and 30 are as below:

75 = 5 x 5 x 3

30 = 5 x 3 x 2

GCD (75,30) = 5x 3 = 15  [Note: GCD = Greatest common divisor]

Consider 75+30 = (15 x 5) + (15 x 2)   [75 = 15 x 5 and 30= 15 x 2]

=  15 (5+2)   [taking 15 as common ]

= 15 x (7)

(=105)

So,  75+30 which is sum of the numbers and it is expressed as 15 x 7 which  a product of their GCF.

7 0
3 years ago
What is the simplest form of x²+5x-6/x²+9x+18
Lyrx [107]

Answer:

(x - 1) / (x + 3).

Step-by-step explanation:

x²+5x-6/x²+9x+18

Factoring top and bottom:

= (x + 6)(x - 1) / (x + 6)(x + 3)   (x + 6) is common, so:

= (x - 1) / (x + 3) (answer).

4 0
3 years ago
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