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Ksenya-84 [330]
3 years ago
12

Please help with geometric mean!!

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0

The exact value of y is 4\sqrt{3}.

Solution:

The attached below shows how the formula is written.

Using geometric mean,

Total base length (p + q) = 8

q = 6

p = 8 – 6 = 2

Let us first find the height of the triangle.

h^2=pq

h^2=2\times6

h^2=12

Taking square root on both sides,

h=\sqrt{12}

Using Pythagoras theorem,

<em>In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>

y^2=(\sqrt{12})^2+6^2

y^2=12+36

y^2=48

y=4\sqrt{3}

The exact value of y is 4\sqrt{3}.

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Find an equation of the circle whose diameter has endpoints (-2, 3) and (-2, -6).
Pie

Answer:

( -5,-5 )

Step-by-step explanation:

3 0
3 years ago
Find the standard equation of the circle with center (5, -3
Mrac [35]

Answer:

○ C

Explanation:

Accourding to one of the circle equations, \displaystyle (x - h)^2 + (y - k)^2 = r^2,the centre of the circle is represented by \displaystyle (h, k).Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY <em>REALLY</em> ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:

Pythagorean Theorem

\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = r^2 \hookrightarrow 36 + 64 = r^2 \hookrightarrow \sqrt{100} = \sqrt{r^2} \\ \\ \boxed{10 = r}

Sinse we are dealing with <em>length</em>, we only desire the NON-NEGATIVE root.

Distanse Equation

\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-5 - 3]^2 + [3 + 3]^2} = r \hookrightarrow \sqrt{[-8]^2 + 6^2} = r \hookrightarrow \sqrt{64 + 36} = r; \sqrt{100} = r \\ \\ \boxed{10 = r}

Sinse we are dealing with <em>distanse</em>, we only desire the NON-NEGATIVE root.

I am joyous to assist you at any time.

5 0
2 years ago
Help me! i dont know this!
Serjik [45]
Answer: 7

Step-by-step explanation:
C = 9
B = 6
Wherever you see a c, you put a 9. Wherever you see a b, you put a 6. If there is already a number in front of the B, multiply it by 6
7 0
2 years ago
Read 2 more answers
4. The population of Bay Village is 35,000 today. Every year the
frosja888 [35]

Answer:

Linear Model:   y(x)=35,000+750x

Step-by-step explanation:

In principle <em>Linear Models </em>are employed when we want to define a relationship between an independent and a dependent variable. <em>Linear Models</em> are also known as<em> Functions </em>, where one variable is expressed as a function of <em>at least one</em> other variable. The most common example would be a dependent variable y that is directly linked as a response to any changes of an independent variable x. The most common expression of such relationship would be y=ax where a is the relationship factor between y and x and is also known as the <em>slope </em>of the function (representing a rate of change of that function).

In this question we are told that the population of Bay Village today is 35,000. So we know this is our constant variable, lets call it  b.

Next we know that every year the population is increased by 750 people. So we know that our variable and thus our independent variable is every year which we shall call x and our fixed factor is the 750 increment which we will call a.  

From that we can conclude that:

<em>Year 1 Population: 35,000</em>

<em>Year 2 Population: 35,000 + 750 = 35,750</em>

<em>Year 3 Population: 35,750 + 750 = 36,500 </em>

And so on and so forth.<em> </em>

So we want to express the above as a Linear Model of the form:

<em> y = ax + b   </em>Eqn(1).

Thus from Eqn (1) and all information given (i.e. pluging in values) we finally obtain:

y(x)=35,000+750x

Which for every different value of  x (i.e. every year) we can obtain the new and increased population  y(x).

7 0
3 years ago
(8v^2+6v+5)+(9v^2+v+6)​
lisabon 2012 [21]

Answer:

= 17 v^2 + 7v + 11

Step-by-step explanation:

Given that:

= (8v^2+6v+5)+(9v^2+v+6)

by removing brackets

= 8v^2 + 6v + 5 + 9v^2 + v + 6

Addin like terms:

= (8v^2 + 9v^2) + (6v + v)+ (5 + 6)

= 17 v^2 + 7v + 11

I hope it will help you!

4 0
3 years ago
Read 2 more answers
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