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Nataly_w [17]
3 years ago
14

Find an equation of the circle whose diameter has endpoints (5,−6) and (1,3)

Mathematics
1 answer:
enot [183]3 years ago
3 0

Answer:

x^2 + y^2 - 6x + 3y -13 =0

Step-by-step explanation:

we have formula when endpoints of diameter of circle are given.

(x-x1)(x-x2)+(y-y1)(y-y2)=0

put value of x1,x2 and y1 and y2.

=(x-5)(x-1) + {y-(-6)}(y-3)=0

=(x^2 -x - 5x +5) + ( y+6)(y-3)=0

=x^2 - 6x +5 + y^2 - 3y +6y - 18=0

=x^2 + y^2 - 6x + 3y -13=0

required equation..

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A bookshelf is 45 inches wide. How many 1 & 1/2 inch wide books will fit on the bookshelf? *
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Answer:

30 books

Step-by-step explanation:

bookshelf is 45 inches

each book is 1 1/2 inches

45 / 1 1/2 = 30

30 books can fit on the shelf

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2 years ago
Learning Task 1: Solve for n. Write your answer in your notebook.
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8 0
3 years ago
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An equation of the perpendicular bisector of the line segment with end points (3,0) and (-3,0) is
Norma-Jean [14]

Answer:

x = 0

Step-by-step explanation:

Given

(x_1,y_1) = (3,0)

(x_2,y_2) = (-3,0)

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

(x,y) = 0.5(x_1 + x_2, y_1 + y_2)

(x,y) = 0.5(3-3, 0+ 0)

(x,y) = 0.5(0, 0)

Open bracket

(x,y) = (0.5*0, 0.5*0)

(x,y) = (0, 0)

Next, determine the slope of the given endpoints.

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{0 - 0}{-3- 3}

m = \frac{0}{-6}

m = 0

Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

m_2 = -\frac{1}{m_1}

In this case:

m = m_1 = 0

So:

m_2 = -\frac{1}{0}

m_2 = unde\ fined

Since the slope is unde\ fined, the equation is:

x = a

Where:

(x,y) = (a,b)

Recall that:

(x,y) = (0, 0)

So:

a = 0

Hence, the equation is:

x = 0

5 0
3 years ago
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Morgarella [4.7K]

Number of game tokens is the label on x-axis.

<u>Step-by-step explanation</u>:

The equation is y = 0.5x + 3

Given,

  • Admission charge = $3
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Total cost = admission charge + cost for number of game token

where,

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7 0
2 years ago
What is absolute value?
pochemuha

Answer:

Absolute value means the distance between a number and 0.

Examples:

The absolute value of -7 is 7.

The absolute value of 5 is 5.

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The absolute value sign is |x|, where x is any real number.

The absolute value removes any negative sign in front of a number.

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3 years ago
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