What is the equation of the line that is parallel to the given line and passes through the point (2, 3)?

Mathematics

2 answers:

Kazeer [188]3 years ago

8 0

Answer:

Step-by-step explanation:

Ed2020

KonstantinChe [14]3 years ago

7 0

$\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{We have the points (-4, 0) and (4, -4)}\\\\\text{substitute:}\\\\m=\dfrac{-4-0}{4-(-4)}=\dfrac{-4}{8}=-0.5\\\\\text{therefore we have the equation of the given line in slope-intercept form:}\\y=-0.5x+b.\\\\\text{Parallel lines have the same slope.}\\\\\text{Therefore the line equation from question is y = -0.5x + b.}$

$\text{It passes through the point (2, 3).}\\\\\text{Substitute the coordinates of the given point to the equation of the line}:\\\\3=-0.5(2)+b\\3=-1+b\qquad|+1\\4=b\to b=4\\\\\text{therefore}\ y=-0.5x+4\qquad|+0.5x\\\\0.5x+y=4\qquad|\cdot2\\\\\boxed{x+2y=8\to B.)}$

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a simple dart target has two concentric circles. the larger circle has a radius of 4. the smaller circle has a radius of 2. the

Inessa05 [86]

The points awarded for striking the inner circle ought to be tripled.

What is the inner circle?

The face region of the circle determines the likelihood of landing an outrage there.
The formula for calculating a circle's area is: inner circle for the exterior circle, apply the formula to subtract the inner circle's value to determine the remaining area.

The formula for the area of a(one) circle is an inner circle for the external circle, use the formula also abate the value of the inner circle, to find the remaining area, which means that the area of the external circle is 3( three) times larger, making it 3( three) times more likely to hit the external circle.

Thus, The points awarded for striking the inner circle ought to be tripled.

$\pi r^2 A =\pi 2^2 = 12.566 A\\$