Find the surface area of the triangle in person be sure to include the correct unit in your answer

What type of conic is given by the equation 4x^2+9y^2=36

zvonat [6]

Answer:

This is equation of ellipse

Step-by-step explanation:

we are given

$4x^2+9y^2=36$

We can see that right side is 36

so, we can make right side as 1 by dividing both sides by 36

$\frac{4x^2+9y^2}{36} =\frac{36}{36}$

$\frac{4x^2+9y^2}{36} =1$

$\frac{4x^2}{36}+\frac{9y^2}{36} =1$

we can simplify it

$\frac{x^2}{9}+\frac{y^2}{4} =1$

we can rewrite it as

$\frac{x^2}{3^2}+\frac{y^2}{2^2} =1$

now, we can compare it with standard equation of ellipse

$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2} =1$

we can see that both equations are similar

so, this is equation of ellipse

8 0

3 years ago

5,10,5,20,5 what is the mean

Ksivusya [100]

Work: 5,5,5,10,20
Add
5+5+5+10+20
10+5+10+20
15+10+20
25+20
45
÷ by the amount of numbers
45÷5=9
Ansser: mean=9

7 0

3 years ago

Read 2 more answers

What two integers are between the square root of 62

riadik2000 [5.3K]

Answer:

The two integers the square root of 62 falls between are 7, and 8.

Step-by-step explanation:

the square root of 62 is 7.874.... so the numbers that it is between are 7 and 8 because its more than 7 but less than 8

4 0

3 years ago

20 points!<br> I need help (asap!!)

EastWind [94]

Answer:

Step-by-step explanation:

We know that the medians of the triangle divides in a ratio of 2:1. Therefore we have the equation:

$\dfrac{9x-9}{2x+8}=\dfrac{2}{1}$ <em>cross multiply</em>

$1(9x-9)=2(2x+8)$ <em>use distributive property a(b + c) = ab + ac</em>

$9x-9=(2)(2x)+(2)(8)$

$9x-9=4x+16$ <em>add 9 to both sides</em>

$9x=4x+25$ <em>subtract 4x from both sides</em>

$5x=25$ <em>divide both sides by 5</em>

$\boxed{x=5}$

$OB=9x-9\to OB=9(5)-9=45-9=\boxed{36}$

$OE=OB:2\to OE=36:2=18\to BE=BO+OE\to BE=36+18=54$

8 0

3 years ago

Bo and Brica are yoga instructors. Between the both of them, they teach 46 yoga classes each week. If Brica teaches 11 fewer tha

PtichkaEL [24]

Bo teaches 19 classes and Brica teaches 27 classes per week

Step-by-step explanation:

Bo and Brica are yoga instructors

They teach 46 yoga classes each week
Brica teaches 11 fewer than twice as many as Bo

We need to find how many classes each instructor teaches per week

Assume that Bo teaches x classes per week

∵ Bo teaches x classes per week

∵ Brica teaches 11 fewer than twice as many as Bo

∵ Twice means times 2 and 11 fewer is - 11

- Multiply x by 2 and subtract 11 from the product

∴ Brica teaches 2x - 11 classes per week

∵ They teach 46 classes per week

- Add the number of their classes and equate the sum by 46

∴ x + 2x - 11 = 46

- Add the like terms in the left hand side

∴ 3x - 11 = 46

- Add 11 to both sides

∴ 3x = 57

- Divide both sides by 3

∴ x = 19

∵ Bo teaches x classes per week

∴ Bo teaches 19 classes per week

∵ Brica teaches 2x - 11 classes per week

∴ Brica teaches 2(19) - 11 = 27 classes per week

Bo teaches 19 classes and Brica teaches 27 classes per week

Learn more:

You can learn more about the linear equations in brainly.com/question/11306893

#LearnwithBrainly

5 0

3 years ago