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2 years ago

40 POINTS please answer me this question with an explanation

Mathematics

2 answers:

kkurt [141]2 years ago

7 0

Answer:

T(5 1/3, - 4)

Step-by-step explanation:

<u>You need to solve the system of linear equations to find the intersection:</u>

y = - 3/4x
y = 3/2x - 12

<u>Substitute and solve for x:</u>

- 3/4x = 3/2x - 12
- 3x = 6x - 48
6x + 3x = 48
9x = 48
x = 48/9
x = 5 1/3

y = -3/4 * 48/9 = - 4

user100 [1]2 years ago

4 0

Answer:

(16/3,-4)

Step-by-step explanation:

y=-3/4x & y=3/2x -12
then solve for x which means -3/4x=3/2x-12
then the value of x=16/3
put the x value in one equation
y=3/4(16/3)
then the value of y=-4

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Felicity the clown inflates two balloons in five minutes. Grumpy a clown ties five balloon animals in 12 minutes. They both work

Ilia_Sergeevich [38]

Answer:

24 balloons

Step-by-step explanation:

1 hour= 60 min

60 min/ 5 min= 12 min

12 min* 2 balloons= 24 balloons per hour

<h2>What about Grumpy?</h2><h3>Don't pay attention to Grumpy, it was just to confuse you. We are talking about how fast <u>Felicity</u> can inflate balloons.</h3>

8 0

3 years ago

Find dy/dx given that y = sin x / 1 + cos x

kobusy [5.1K]

Answer:

$\frac{1}{1 + \cos(x) }$

Step-by-step explanation:

$y = \frac{ \sin(x) }{1 + \cos(x) }$

<u>differentiating numerator wrt x :-</u>

(sinx)' = cos x

<u>differentiating denominator wrt x :- </u>

(1 + cos x)' = (cosx)' = - sinx

Let's say the denominator was "v" and the numerator was "u"

$(\frac{u}{v} )' = \frac{v. \: (u)' - u.(v)' }{ {v}^{2} }$

here,

since u is the numerator u= sinx and u = cos x
v(denominator) = 1 + cos x; v' = - sinx

$= \frac{((1 + \cos \: x) \cos \: x )- (\sin \: x. ( - \sin \: x) ) }{( {1 + \cos(x)) }^{2} }$

$= \frac{ \cos(x) + \cos {}^{2} (x) + \sin {}^{2} (x) }{(1 + \cos \: x) {}^{2} }$

since cos²x + sin²x = 1

$= \frac{ \cos \: x + 1}{(1 + \cos \: x) {}^{2} }$

diving numerator and denominator by 1 + cos x

$= \frac{1}{1 + \cos(x) }$

6 0

3 years ago

How do I get this answer?

Keith_Richards [23]

Answer:

Step-by-step explanation:

Several trig identities are involved in the proof of this. This is the order in which they are used.

cos(2x) = cos²(x) -sin²(x)
cos²(x) +sin²(x) = 1
cos(x) = 1/sec(x)

<h3>Proof</h3>

Starting with the left side, we can transform it into the right side.

$2\cos(2x)=2(\cos^2(x)-\sin^2(x)) = 2(\cos^2(x)-(1-\cos^2(x)))\\\\=2(2\cos^2(x)-1)=2\left(\dfrac{2}{\sec^2(x)}-\dfrac{\sec^2(x)}{\sec^2(x)}\right)\\\\=\boxed{\dfrac{4-2\sec^2(x)}{\sec^2(x)}}$

4 0

2 years ago

Can anyone help me with my homework

Gemiola [76]

Answer:

1: (0,3)

2: (-4,-2)

3: (-1,-5)

4: (4,0)

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A coat that usually costs $123 is marked 1/3 off.What is the sale price of the coat. Round to the nearest dollar

Brut [27]

Answer:

$82

Step-by-step explanation:

If the coat is 1/3 off then you pay 2/3 of the price. To find a sale price, multiply the cost by 2/3.

123(2/3) = 246/3 = 82

7 0

2 years ago