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3 years ago

Write the equation of a line that goes through (5,3) and is parallel to the line y=2x+7

Mathematics

1 answer:

oee [108]3 years ago

8 0

Answer:

y = 2x - 7

Step-by-step explanation:

Parallel lines have the same slope, so the line will also have a slope of 2

Plug in the slope and given point into y = mx + b to solve for b:

y = mx + b

3 = 2(5) + b

3 = 10 + b

-7 = b

Then, plug in the slope and b into y = mx + b

y = 2x - 7 is the equation of the line

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Help i’ll give brainliest

IceJOKER [234]

Answer:

Step-by-step explanation:

Y intercept = y value of point where the line passes the y axis

The line passes the y axis at (0,5) and the y value of that point is 5

Therefore y intercept = 5

3 0

3 years ago

Read 2 more answers

a farmer has 100m for fence avaibiable, with which he intends to build a pen for his sheep. he intends to create a rectangular p

Reika [66]

The perimeter of the area of the pen the farmer intends to build for his

ship includes the length of the permanent stone wall.

Response:

i) The length and width of the rectangular pen are; x, and $\dfrac{100 - x}{2}$ , therefore;

The area is; $A = \dfrac{1}{2} \cdot x \cdot (100 - x)$

$ii) \hspace{0.5 cm}\dfrac{dA}{dx} = 50 - x$

$\dfrac{d^2A}{dx^2} = -1$

iii) The value of x that makes the area as large as possible is x = 50

<h3>How is the function for the area and the maximum area obtained?</h3>

Given:

The length of fencing the farmer has = 100 m

Part of the area of the pen is a permanent stone wall.

Let x represent the length of the stone wall, we have;

2 × Width = 100 m - x

Therefore;

Width, w, of the rectangular pen, $w = \mathbf{\dfrac{100 - x}{2}}$

Area of a rectangle = Length × Width

Area of the rectangular pen, is therefore;

$A = x \times \dfrac{100 - x}{2} = \underline{\dfrac{1}{2} \cdot x \cdot (100 - x)}$

$ii) \hspace{0.5 cm} \mathbf{\dfrac{dA}{dx}}$ , and $\mathbf{\dfrac{d^2A}{dx^2} }$ are found as follows;

$\dfrac{dA}{dx} = \mathbf{\dfrac{d}{dx} \left( \dfrac{1}{2} \cdot x \cdot (100 - x) \right)} = \underline{50 - x}$

$\dfrac{d^2A}{dx^2} = \mathbf{ \dfrac{d}{dx} \left( 50 - x\right)} = \underline{-1}$

iii) The value of x that makes the area as large as possible is given as follows;

Given that the second derivative, $\dfrac{d^2A}{dx^2} =-1$ , is negative, we have;

At the maximum area, $\dfrac{dA}{dx} = \mathbf{0}$ , which gives;

$\dfrac{dA}{dx} = 50 - x = 0$

x = 50

The value of x that makes the area as large as possible is x = 50

Learn more about the maximum value of a function here:

brainly.com/question/19021959

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2 years ago

You are scheduling a new delivery route and you need to find out how long it would take a drive out to complete the route you st

larisa [96]

The delivery route took 4 hours and 15 minutes.

Because 9:50 + 4 hours is 1:50

1:50 + 15 minutes is 2:05

Hope this helps! Have a great rest of your day :)

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3 years ago

The opposite of a number is less than 12

barxatty [35]

-12 might be the answer

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I NEED HELP WITH MATH PLEASE FIND THE VALUE OF THE VARIBLE

Elina [12.6K]

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