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Dmitrij [34]
4 years ago
8

How do you find the geometric mean between 2√ 8 and 5√ 2

Mathematics
2 answers:
Komok [63]4 years ago
8 0

Answer:

2\sqrt{10}

Step-by-step explanation:

The geometric mean of a and b is

\sqrt{ab}

Here a = 2\sqrt{8} and b = 5\sqrt{2}, thus

ab = 2\sqrt{8} × 5\sqrt{2} = 10\sqrt{16} = 10 × 4 = 40, then

\sqrt{ab} = \sqrt{40} = \sqrt{4(10)} = \sqrt{4} × \sqrt{10} = 2\sqrt{10}

creativ13 [48]4 years ago
4 0

Answer:

2√10

Step-by-step explanation:

√(2√8 × 5√2)

√(10√16)

√40

2√10

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What are the solutions of the equation (x - 6) (x - 8) =8
enot [183]

Answer:

x=4  x=10

Step-by-step explanation:

(x - 6) (x - 8) =8

We need to multiply out the left side

x^2 -8x -6x+48 = 8

x^2 -14x +48 = 8

Subtract 8 from each side

x^2 -14x +48-8 = 8-8

x^2 -14x+40 =0

We need to factor the left side.  What two numbers multiply to give 40 and add to give -14

-4*-10 = 40

-4+-10 = -14

(x-4) (x-10) =0

Using the zero product property

x-4=0  x-10 =0

x=4  x=10


8 0
3 years ago
* TRUE or FALSE: The absolute value of an integer is ALWAYS a positive number.​
inn [45]

Answer:

TRUE

Step-by-step explanation:

Absolute value refers to a point's distance from zero or origin on the number line, regardless of the direction. The absolute value of a number is always positive

3 0
3 years ago
Henry wants to earn more than $68 trimming trees. He charges $6 per hour and pays $4 in equipment fees. What are the possible nu
nexus9112 [7]
68>6t+4 when ever the number is per something(the 6) you put the variable with it and 4 is the constant

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5 0
4 years ago
John is driving to his office to attend a meeting. In the first 10 minutes, he covers a distance of 1 mile every minute. Then he
Georgia [21]

Answer:

The total distance cover by John is 15 min to reach his office .

Step-by-step explanation:

Given as ;

In the first 10 minutes , the distance cover is 1 miles every minutes

So, for 10 minutes , total distance cover by John = 10 × 1 = 10 miles

Again ,

John cover distance of 0.5 miles for every minutes , he travel for next 10 min

So, for next 10 min, total distance cover by John = 10 × 0.5 = 5 miles

So, The total distance cover by john = 10 miles + 5 miles = 15 miles

Hence The total distance cover by John is 15 min to reach his office . Answer

5 0
4 years ago
If f(x)=2x²+5√(x-2) , complete the following statement: f(3)=___
aliya0001 [1]
F(x)=2x²+5√(x-2)

f(3)=2(3)²+5√(3-2)
= 2 (9) + 5√1
= 18 + 5
= 23.
4 0
4 years ago
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