Find the geometric mean of the pair of numbers. Give your answer in simplest radical form.

Mathematics

1 answer:

NARA [144]2 years ago

6 0

9514 1404 393

Answer:

10√5

Step-by-step explanation:

The geometric mean of two numbers is the square root of their product.

m = √(20×25) = √500 = √100 × √5

m = 10√5

The geometric mean of 20 and 25 is 10√5.

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Define $g$ by $g(x)=5x-4$. If $g(x)=f^{-1}(x)-3$ and $f^{-1}(x)$ is the inverse of the function $f(x)=ax+b$, find $5a+5b$.

Slav-nsk [51]

Answer:

Step-by-step explanation:

Given g(x)=5x-4 and g(x)=f^{-1}(x)-3

Substituting g(x) = 5x-4 into the second equation we have;

5x-4 = f^{-1}(x)-3

f^{-1}(x) = 5x-4+3

f^{-1}(x) = 5x-1

To get f(x), let us first make y to be equal f^{-1}(x)

y = 5x-1

expressing x in terms of y to get f(x), we have;

5x = y+1

x = y/5+1/5

replacing y with x, we will have;

y = x/5 + 1/5

F(x) = x/5 + 1/5

Comparing x/5 + 1/5 with ax+b, a = 1/5 and b = 1/5

5a + 5b = 5(1/5)+ 5(1/5)

5a+5b = 1+1

5a+5b = 2

8 0

2 years ago

110% OF WHAT NUMBER IS 880? SHOW EVERY STEP PLZ:)

Nookie1986 [14]

So 110% of x is 880 means 1.1x=880

so 1.1x=880
multiply both sides by 10
11x=8800
divide both sides by 11
8800=88 times 100 88=8 times 11
8800/11=800
x=800

5 0

3 years ago

Read 2 more answers

In △ABC, ∠ABC = 60○

Temka [501]

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Thus the value of PB is 8.0 units.

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Types of triangles include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the internal angles of any triangle is $180^{o}$ .