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3 years ago

Find two functions defined implicitly by the given relation y^2-64x^2=64

Mathematics

1 answer:

Reil [10]3 years ago

8 0

Answer: The two functions are

f(x) = sqrt(64x^2+64)

g(x) = -sqrt(64x^2+64)

Graphing these together forms a hyperbola

To get these two functions, we need to solve for y

y^2 - 64x^2 = 64

y^2 = 64x^2 + 64

y = sqrt(64x^2 + 64) or y = -sqrt(64x^2 + 64)

The last line is similar to how x^2 = 9 has two solutions (x = plus or minus 3)

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2x - 3y = 12 x = 4y + 1

aliya0001 [1]

Answer:

x = 9, y = 2 is the solution of the given system.

Step-by-step explanation:

Here, the given set of equation is :

2 x - 3 y = 12

x = 4 y + 1

Now, from equation (2) we see that x = 4 y + 1.

Substitute the value of y from (2) in the first equation. we get:

2 x - 3 y = 12 ⇒ 2 (4 y + 1) - 3 y = 12

or, 8 y + 2 - 3 y = 12

or, 5 y = 12- 2 = 10

or, y = 10/ 5 = 2

or, y = 2

Now, x = 4 y + 1 ⇒ x = 4(2) + 1 = 8 + 1 = 9, or x = 9

Hence, x = 9, y = 2 is the solution of the given system.

5 0

3 years ago

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanke

Gnesinka [82]

Answer:

Step-by-step explanation:

Given that Darcie wants to donate minimum 3 blankets to donate to a homeless shelter. No of days left =60

No of days to complete one blanket = 1/(1/15) = 15 days

Hence in 60 days she has to complete ≥3 blankets

No of days she has to utilize for this will be ≥3(15)=45

No of days she can skip crocheting ≤15

Let x be the no of days crocheted and y no of days skipped

Then x+y≤60

See the graph attached as x axis for days crocheted and y for days skipped

No of blankets can be either 3 or 4.

4 0

3 years ago

Read 2 more answers

I NEED HELP PLEASE, THANKS! :)

ICE Princess25 [194]

Answer: G ∩ M = {Anael, Max}

G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}

Step-by-step explanation:

intersection ∩ - items found in BOTH sets

union U - the joining of the sets. include EVERYTHING in the sets.

G = (Acel, Acton, Anael, Carl, Dario, Max}

S = {Anael, Barek, Bay, Carlin, Kai, Max}

G ∩ S: Anael and Max are found in both sets

G = (Acel, Acton, Anael, Carl, Dario, Max}

S = {Acton, Anael, Barek, Carlin, Dario, Kai}

G U S: include everything in G and everything in S. If found in both sets, only list it once.

G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}

Notice that Acton and Anael are in both sets but we only list them once.

8 0

3 years ago

The sum of the angles of a triangle is Select one: a. 360 b. 180 c. 90 d. 60

e-lub [12.9K]

Answer: b. 180

Step-by-step explanation:

The sum of the angles of a triangle is 180°.

8 0

3 years ago

Read 2 more answers

Will mark brainliest, please answer:)

BartSMP [9]

Answer:

√135

Step-by-step explanation:

3^2+b^2=12^2

9+b^2=144

9-9+b^2=144-9

b^2=135

√135=b

3 0

3 years ago