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3 years ago

What is the equation of a line that contains the point (2.1) and is parallel to

Mathematics

2 answers:

nalin [4]3 years ago

7 0

D

Answer: the answer is (D)

atroni [7]3 years ago

3 0

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 4 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , so

y = 3x + c ← is the partial equation

To find c substitute (2, 1) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 3x - 5 ← equation of parallel line → D

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Give the equation of the circle centered at the origin and passing through the point (0,5)

Julli [10]

Answer:

$x^{2} +y^{2}=25$

Step-by-step explanation

The standard equation of a circle centered at origin is $x^{2} +y^{2} =r^{2}$

r = radius of the circle

The circle is passing through the point (0,5)

∴ radius $r=\sqrt{(0-0)^{2}+(5-0)^{2} }$

$r=\sqrt{0+25}$

$r=\sqrt{25}$

$r^{2}=25$

∴ The equation of the circle is

$x^{2} +y^{2} = 25$

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AURORKA [14]

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