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3 years ago

Write an equation of the line that passes through the given point and is parallel to the given line.

Mathematics

1 answer:

saveliy_v [14]3 years ago

3 0

the equation of line passing through given point parallel to y = -2x+7 is: $y = -2x+9$

Step-by-step explanation:

Given equation of line is:

$y = -2x+7$

As the given line is in slope intercept form, the coefficient of x is the slope

Let m1 be the slope of given line

$m_1 = -2$

Let m2 be the slope of second line then

$m_2= -2$

The equation of line is given by:

$y= m_2x+b$

Putting the value of slope

$y = -2x+b$

Putting the point (4,1) in the equation

$y = -2x+b\\1 = -2(4)+b\\1= -8+b\\b = 1+8\\b = 9$

Putting the value of b in the equation

$y = -2x+9$

Hence,

the equation of line passing through given point parallel to y = -2x+7 is: $y = -2x+9$

Keywords: Slope, intercepts

Learn more about slope at:

#LearnwithBrainly

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Numbers 4,5,6 !! Please help

aleksandrvk [35]

Answer:

4) VW= 23

5) VW= 12

6) VW= 75

Step-by-step explanation:

VU= 31

WU= 8

subtract 8 from 31

VW= 23

UW= 18

UV= 6

subtract 6 from 18

VW= 12

UV= 30

WU=45

add 30 and 45

VW= 75

7 0

3 years ago

Solve these for points I5 - 9I = I5I - I9I =

Aleksandr-060686 [28]

|5-9| = 4

|5| - |9| = -4

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3 years ago

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Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet. If th

RideAnS [48]

Answer:

C. 31.83 feet.

Step-by-step explanation:

We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.

First of all, we will find the surface area of dog pen using surface area of cylinder.

$\text{Surface area of cylinder}=2\pi rh$ ,where,

r = Radius of cylinder,

h = Height of cylinder.

$\text{Surface area of cylinder}=2\pi r*5$

$\text{Surface area of cylinder}=10\pi r$

Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.

Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.

$1000=10\pi r$

Upon dividing both sides of our equation by 10 pi we will get,

$\frac{1000}{10\pi}=\frac{10\pi r}{10\pi}$

$31.8309886=r$

$r\approx 31.83$

Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.

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3 years ago

The weekly sales of Honolulu Red Oranges is given by q = 990 − 22p. Calculate the price elasticity of demand when the price is $

elena55 [62]

Answer:

E = -2. The demand is going down by 2% per 1% increase in price at that price level.

The price that gives a maximum revenue is $22.5. The maximum revenue is $9112.5

Step-by-step explanation:

The overall demand formula: Q = aP + b

Q = 990 - 22P

Demand elasticity:

At P = $30, the Q = 990 - 22×30 = 330. a = $\frac{dQ}{dP}$ = -22

The formula for demand elasticity: E = $\frac{dQ}{dP}$ × $\frac{P}{Q}$

Demand elasticity at $30: E = -22 × $\frac{30}{330}$ = -2

So, The demand will be going down by 2% if 1% increase in price.

Revenue:

R = P×Q = P×(990 - 22P) = -22P² - 990P

R' = -44P - 990. The revenue is maximum when R' = 0

⇔0 = -44P - 990 ⇔ P = $22.5

At the P = $22.5, the Q = 990 - 22×22.5 = 495.

The maximum revenue = $22.5×495 = $11,137.5

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3 years ago

Someone please help me I’ll give out brainliest please don't answer if you don’t know

Reika [66]

Answer:

4xy + 6x

Step-by-step explanation:

2xy + 2x + 4x + 2xy

combine like terms:

4xy + 6x

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3 years ago

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