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3 years ago

What is the slope of a line parallel to the line whose equation is 4x - 2y = 7?

Mathematics

1 answer:

BARSIC [14]3 years ago

4 0

Answer:

Here the slope is 2.

Step-by-step explanation:

The first step here is to solve for y. This will lead us to the correct slope value. Subtracting 4x from both sides, we get -2y = 7 - 4x.

Dividing both sides by -2, we get y = -7/2 + 2x. The coefficient of x is the slope. Here the slope is 2.

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A boat sails on a bearing of 77 degrees for 135 miles and then turns and sails 207 miles on a bearing of 192 degrees. Find the d

Andrew [12]

Answer:

193.53 miles

Step-by-step explanation:

Please see the diagram for understanding of how the angles were derived,

Applying Alternate Angles, ABO =77 degrees

The bearing from B to C is 192=180+12 degrees

Subtracting 12 from 77, we obtain the angle at B as 65 degrees.

We want to determine the boat's distance from its starting point.

In the diagram, this is the line AC.

Applying Law of Cosines:

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6 0

3 years ago

0-6

dybincka [34]

<h3>Given :-</h3>

Pranav ran 20.3 km more than Branda

Pravin ran 38.6 km

$\\ \\$

To find :

No. of kilometers did Brenda run.

$\\ \\$

No. of kilometers ran by Brenda be x.

$\\ \\$

<h3>Solution:</h3>

$\\ \\$

Equation formed:-

$\\ \\$

Total distance covered by Pravan = More distance covered by Pravan + distance covered by Brenda.

Therefore:-

$\\ \\$

$\leadsto \sf38.6 = 20.3 + x$

Write the equation

$\\ \\$

$\leadsto \sf38.6 - 20.3 =x$

When we transfer 20.3 to left side the positive sign (+) will change into negative sign (–)

$\\ \\$

$\leadsto \sf x = 38.6 - 20.3$

Arrange the equation because x is always represented at left side.

$\\ \\$

$\leadsto \boxed {\pmb{\sf x = 18.3}}\star$

After subtracting 38.6 with 20.3 we will get result as 18.3 .

$\\ \\$

$\therefore \red{ \underline{ \pmb{\frak{Distance ~ covered ~by ~Brenda~ is ~equal ~to~18.3~kilometers}}}}$

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What is the slope of a line parallel to the line whose equation is 4x - 2y = 7?​

What is the slope of a line parallel to the line whose equation is 4x - 2y = 7?