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3 years ago

Y= 4x +3, 4x + y =3 are they parallel or perpendicular

Mathematics

2 answers:

gizmo_the_mogwai [7]3 years ago

6 0

Answer: Neither

Step-by-step explanation:

When two lines are parallel, their slopes are the same.

When two lines are perpendicular, their slopes are opposite reciprocals. Opposite reciprocals equal -1 when multiplied together.

Equation #1: y = 4x + 3

The equation is in the form y = mx + b, so the slope is 4.

Equation #2: 4x + y = 3

We need to put this equation in slope-intercept form.

1) Subtract 4x from both sides

y = -4x + 3

The slope is -4.

-4 and 4 are neither equal nor opposite reciprocals, so they aren't parallel or perpendicular.

FrozenT [24]3 years ago

5 0

Answer:

they are perpendicular

Step-by-step explanation:

because the slope are opposite which means the lines intersect.

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Answer:

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Step-by-step explanation:

using the quadric formula

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3 years ago

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3 years ago

Square root of 648.7209 by division method

SpyIntel [72]

Answer:

$25.47$

Step-by-step explanation:

This root can be rewritten as:

$\sqrt{\frac{6487209}{10000} }$

$\sqrt{\frac{6487209}{100^{2}} }$

$\frac{1}{100}\cdot \sqrt{6487209}$

Since 6487209 is a multple of 3, the expression can be rearranged as follows:

$\frac{1}{100}\cdot \sqrt{3\times 2162403}$

2162403 is also a multiple of 3, then:

$\frac{1}{100}\cdot \sqrt{3^{2}\times 720801}$

$\frac{3}{100}\cdot \sqrt{720801}$

720801 is a multiple of 3, then:

$\frac{3}{100}\cdot \sqrt{3\times 240267}$

240267 is a multiple of 3, then:

$\frac{3}{100}\times \sqrt{3^{2}\times 80089}$

$\frac{9}{100}\cdot \sqrt{80089}$

80089 is a multiple of 283, then:

$\frac{9}{100}\cdot \sqrt{283^{2}}$

$\frac{9\times 283}{100}$

$\frac{2547}{100}$

$25.47$

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3 years ago