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3 years ago

Find the value of x and y in the diagram below.

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

4 0

Answer:

D) x=6√3, y=3√3

Step-by-step explanation:

Given both triangles are 30-60-90 triangles, this means that the length of y will be 9/√3=√81/√3=√(81/3)=√27=3√3

This also means that x will be twice the length of y which means x=2y=2(3√3)=6√3

This means that the correct answer is D) x=6√3, y=3√3

Refer to the diagram below to understand where I got these lengths.

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Given the function g(x) = 4(3)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.

LenaWriter [7]

Easy peasy

the average rate of change in section A is the slope from (1,g(1)) to (2,g(2))
the average rate of chagne in section B is the slope from (3,g(3)) to (4,g(4))

A.

section A
g(1)=4(3)^1=12
g(2)=4(3)^2=4(9)=36
slope=(36-12)/(2-1)=24/1=24

section B
g(3)=4(3)^3=4(27)=108
g(4)=4(3)^4=4(81)=324
slope=(324-108)/(4-3)=216/1=216

section A has an average rate of change of 24
section B has an average rate of change of 216

3 0

3 years ago

Question 6 Unsaved Identify the slope and y-intercept of the graph of the equation. Then graph the equation. y = −5/4x+1

Lena [83]

Slope = -5/4
y intercept = 1

The slope is always attached to x. The intercept is the number attached on the end.

4 0

4 years ago

In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion

lys-0071 [83]

$\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k$

-------------------------------------------------------------

$\displaystyle
(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\
n=5\\
k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10$

It's 10.

----------------------------------------------------

$\displaystyle
(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\
n=5\\
k=4\\\\
\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90$

It's 90

6 0

4 years ago

Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. Wh

umka21 [38]

Answer:

Step-by-step explanation:

Silvia: 2 pages to 5 minutes

into...

Silvia: 1 page to __ minutes

Find Unit Rate : 5/2= 2.5

Unit Rate for Silvia is 2.5

Written out : 2 pages x 2.5 = 5 minutes

Example : 1 page to 2.5 minutes

What we found : ___ pages to 60 minutes(60 divided by 2.5) is

<h2>24 pages to 60 minutes</h2>

Silvia's sister: 3 pages to 6 minutes

into...

Silvia's sister: 1 pages to ___ minutes

Find Unit Rate : 6/3= 2

Unit Rate for Silvia is 2

Written out : 3 pages x 2 = 6 minutes

Example : 1 page to 2 minute

What we found : ___ pages to 60 minutes(60 divide by 2) is

<h2>30 pages to 60 minutes </h2>

Final Step : 30 - 24 = 6

7 0

3 years ago

John made $20 for 2 hours of work. Sally made $50 for 4 hours of work. How do John and Sally's hourly pay rate compare?

olchik [2.2K]

20/2= 10

John makes 10 dollars an hour.

50/4= 12.5

Sally makes 12.50 dollars an hour.

Sally makes more than John.

I hope this helps!
~kaikers

6 0

4 years ago

Read 2 more answers