1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nexus9112 [7]
2 years ago
7

13. Given that y varies as x^2 and that y = 36 when x=3, find:

Mathematics
1 answer:
saw5 [17]2 years ago
3 0

Answer:

K=4

Y=16

X=4

Step-by-step explanation:

y = kx {}^{2}  \\ finding \: k \: when \:  y= 36 \: and \: x = 3 \\ 36 = k(3) {}^{2}  \\ 36 = 9k \\ dividing \: through \: by \: 9 \\  \frac{36}{9}  =  \frac{9k}{9}  \\ 4 = k \\ k = 4 \\ findnig \: y \: when \: x = 2 \\ y = 4(2) {}^{2}  \\ y = 4 \times 4 = 16 \\ finding \: x \: when \: y = 64 \\ 64 = 4 \times x  \\ 64 = 4x \\ dividing \: through \: by \: 4 \\  \frac{64}{4}  =  \frac{4x {}^{2} }{4}   \\ 16 = x {}^{2}  \\ square \: root \: bothsides \\  \sqrt{16}  = x {}^{2}  \\ 4 =  x \\ x = 4

You might be interested in
Simplify the radical expression by rationalizing the denominator. <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B%20%5Csq
Rashid [163]
\bf \cfrac{2}{\sqrt{42}}\cdot \cfrac{\sqrt{42}}{\sqrt{42}}\implies \cfrac{2\sqrt{42}}{(\sqrt{42})^2}\implies \cfrac{2\sqrt{42}}{42}\implies \cfrac{\sqrt{42}}{21}
6 0
3 years ago
12e^5 divided 3e^3 simplified
bonufazy [111]

Answer:

4 {e}^{2}

Step-by-step explanation:

\frac{12 {e}^{5} }{3 {e}^{3} } \\ 12 \div 3 \times  {e}^{5 - 3}   \\  = 4 {e}^{2}

hope this helps

brainliest appreciated

good luck! have a nice day!

6 0
3 years ago
Robin and Shaon got 5/6 and 4/5 of the total marks. Robin obtained 30 more marks than Shaon.What is the total marks?
Natasha2012 [34]

Answer:

Robin= 750

Sharon= 720

Step-by-step explanation:

let the total marks obtained be X

from question, Robin = 5X/6

Shaon= 4X/5

then, 5X/6= 4X/5+30

or, 5X/6= 4X+150/5

or 25X=24x+900

or,X= 900

therefore robin=750

Shaon = 720

3 0
2 years ago
One of the legs of a right triangle measures 15 cm and the other leg measures 10 cm. Find the measure of the hypotenuse. If nece
Olenka [21]

Answer:

18.0 (use 18 if 18.0 is not an answer choice)

Step-by-step explanation:

15²+10²=225+100 = 325

√325 = 18.028 or 18.0 (use 18 if 18.0 is not an answer choice)

6 0
3 years ago
Read 2 more answers
Can someone please help me
nadya68 [22]

Answer:

<u>Right</u><u> </u><u>option</u><u> </u><u>is</u><u> </u><u>B</u><u>.</u><u> </u>

Step-by-step explanation:

\sf  \longrightarrow \frac{ \sec x \sin( - x)  +  \tan( - x) }{1 +  \sec( - x) }  \\  \\  \sf \longrightarrow  \frac{ \sec x( -  \sin x) -  \tan x}{1 +  \sec x}  \\  \\  \sf  \longrightarrow   \frac{  - \frac{1}{ \cos x } \times  \sin x -  \tan x }{1 +  \sec x}  \\  \\  \sf  \longrightarrow \frac{ -  \tan x -  \tan x}{1 +  \sec x}   \\  \\  \sf  \longrightarrow  \frac{ - 2 \tan x}{1 +  \sec x}  \\  \\  \sf \longrightarrow   \frac{  \frac{ - 2 \sin x}{ \cos x} }{1 +  \frac{1}{ \cos x} }  \\  \\  \sf  \longrightarrow  \frac{  \frac{ - 2 \sin x}{ \cos x} }{ \frac{ \cos x + 1}{ \cos x} }  \\  \\     \boxed{  \sf{\longrightarrow \frac{ - 2 \sin x}{ \cos x + 1}  }}

4 0
1 year ago
Other questions:
  • If the eccentricity of an ellipse is 0.43 and the length of its major axis is 11 units, how far from the center are the foci loc
    14·2 answers
  • I need help with #3 plz
    13·1 answer
  • The sum of two numbers is 78. Their difference is 32. Write a system of equations that describes this situation. Solve by elimin
    9·1 answer
  • Amy mows 7 lawns in 4 hours. How long does it take
    13·2 answers
  • Samuel orders four DVDs from an online music store. Each DVD costs $9.11. He has a 25% discount code, and sales tax is 7%. Round
    13·2 answers
  • 4% of 50 is what number​
    13·2 answers
  • If vector v = ( 9 ) find -v and 3v <br> -6
    15·1 answer
  • Write a linear function f with f(4)=−3 and f(0)=−2.
    8·2 answers
  • Tommy is mowing lawns for a summer job. He charges an initial start up fee of $10 and then $15 an
    9·1 answer
  • Pls help me: A couple plans to have 4 children. The gender of each child is equally likely. Design a simulation involving 90 tri
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!