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3 years ago

Write the equation of a line that goes through the point (3,-2) and is parallel to the line

Mathematics

1 answer:

Alborosie3 years ago

5 0

Answer:

y= -4/3x - 7

Step-by-step explanation:

A parallel equation means that slope will stay the same but you would use

y-y1 = m(x-x1)

using 3 as x1 and -2 as y1

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A 0.311 kg tennis racket moving 30.3 m/s east makes an elastic collision with a 0.0570 kg ball moving 19.2 m/s west. Find the ve

max2010maxim [7]

Answer:

The velocity of the tennis racket after the collision 14.966 m/s.

Step-by-step explanation:

An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same.

So, the total kinetic energy before collision = the total kinetic energy after collision.

For the given problem let the following:

m₁ = mass of tennis racket = 0.311 kg

m₂ = mass of the ball = 0.057 kg

u₁ = velocity of tennis racket before collision = 30.3 m/s

u₂ = velocity of the ball before collision = -19.2 m/s

v₁ = velocity of tennis racket after collision

v₂ = velocity of the ball after collision

Right ⇒east (+) , Left⇒ west (-)

v₁ = [ u₁ * (m₁ - m₂) + u₂ * 2m₂ ]/ (m₁ + m₂)

= ( 30.3 * (0.311 - 0.057) - 19.2 * 2 * 0.057 ) / ( 0.311 + 0.057)

= 14.966 m/s.

So, the velocity of the tennis racket after the collision 14.966 m/s.

5 0

3 years ago

Simplify: 3√5⋅√10+11√5⋅√10−√5 26√50 14√15−√5 14√50−√5 6√35

Leno4ka [110]

Answer:

When multiplying radical expressions with the same index, we use the product rule for radicals. If a and b represent positive real numbers,

Example 1: Multiply:

√2⋅√6

Solution: This problem is a product of two square roots. Apply the product rule for radicals and then simplify.

Step-by-step explanation:

Hope this helps . ;)

7 0

3 years ago

Which intervals show f(x) increasing? Choose two options.

k0ka [10]

Where are the options?

3 0

3 years ago

Decide whether the rates are equivalent 30 beats per 20 seconds, 90 beats per 60 seconds. Show your work.

siniylev [52]

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8 0

4 years ago

Read 2 more answers

The function p(x) = _2(x _ 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from

Valentin [98]

Answer:

Option (b) is correct.

The profit from sales if the price of the T-shirts were $15 a pieces is $28.

Step-by-step explanation:

Given : The function $p(x)=-2(x-9)^2+100$ is used to determine the profit on T-shirts sold for x dollars.

We have to find the profit from sales if the price of the T-shirts were $15 a pieces.

Consider the given profit function $p(x)=-2(x-9)^2+100$

For the profit, if the price of a t-shirt is $ 15

Put x = 15, we have,

$p(15)=-2(15-9)^2+100$

Simplify, we have,

$p(15)=-2(6)^2+100=-2\cdot 36+100$

Also, $p(15)=-72+100=28$

Thus, we get, The profit from sales if the price of the T-shirts were $15 a pieces is $28.

5 0

3 years ago

Read 2 more answers