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3 years ago

Find the slope of the line 7x-4y=10

Mathematics

1 answer:

Harman [31]3 years ago

5 0

Answer:

The slope is $m=(7/4)$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

$7x-4y=10$

Convert to slope intercept form

Isolate the variable y

$4y=7x-10$

$y=(7/4)x-(10/4)$

$y=(7/4)x-(5/2)$

The slope is $m=(7/4)$

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Read 2 more answers

A flagpole is supported by a wire fastened 60 feet from its base. The wire is longer than the height it reaches on the flagpole.

maxonik [38]

Answer:

135.5ft

Step-by-step explanation:

THIS COMPLETE THE QUESTION

flagpole is supported by a wire fastened 60 feet from its base. The wire is 14 feet longer than the height it reaches on the flagpole. Find the length of the wire.

Let X be the length of the wire

Let y be the height of the pole

X= Y + 14

Y= X -14

We can form a right angle triangle form this, where X denote the Hypotenose, Y is the Opposite, and 60feet is the Adjacent.(CHECK THE ATTACHMENT FOR THE TRIANGLE)

Using Pythagoras theorem

X²= 60² + Y²

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if we subsitute for Y we have

X² = 3600 + (X -14)²

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X= 3796/28

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