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2 years ago

Write an equation of the line passing through point (3, -1) and perpendicular to y= -x+1

Mathematics

1 answer:

Valentin [98]2 years ago

4 0

am I supposed to do the picture one or the you type

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serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: $(x-4)^2+(y-8)^2=6.25$

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

The center is at; $(\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)$

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r=\sqrt{(4-4)^2+(10.5-8)^2}$

$r=\sqrt{0^2+(2.5)^2}$

$r=\sqrt{0^2+(2.5)^2}=2.5$

The equation of the circle in standard form is given by;

$(x-h)^2+(y-k)^2=r^2$

We substitute the center and the radius into the formula to get;

$(x-4)^2+(y-8)^2=2.5^2$

$(x-4)^2+(y-8)^2=6.25$

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2 years ago

Jackson hikes 220.2 meters up a mountain. If he is 60% of the way up, how tall is the mountain?

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2 years ago

What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9) Number line from negative 8 to

Triss [41]

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Step-by-step explanation:

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2 years ago

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fiasKO [112]

It is 4pi/7, or b. Just want to help ;)

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2 years ago

Write an equation of the line passing through point (3, -1) and perpendicular to y= -x+1​

Write an equation of the line passing through point (3, -1) and perpendicular to y= -x+1