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alexdok [17]
2 years ago
9

What is an equation of a circle with center (2, -1) that passes through the point (3, 4)?

Mathematics
2 answers:
Svet_ta [14]2 years ago
4 0

Answer:

<em>(x - 2)^2 + (y + 1)^2 =  26</em>

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

=> The radius of this circle is OA which could be calculated by:

OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]

The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

    (x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2

<=>(x - 2)^2 + (y + 1)^2 = 26

Hope this helps!

pashok25 [27]2 years ago
3 0

Answer:

(x-2)²+(y+1)²=26

Step-by-step explanation:

(x-2)²+(y+1)²=26

distance formula for radius

√(3-2)²+(4--1)² = √26

(x-h)²+(y-k)²=r²

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Step-by-step explanation:

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2 years ago
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natulia [17]

Answer:

y= -2x +1

Step-by-step explanation:

<u>slope- intercept form</u><u>:</u>

y= mx +c, where m us the gradient and c is the y-intercept.

Let's find the value of m first using the gradient formula.

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m =  \frac{ - 3 - 3}{2 - ( - 1)}  \\ m =  \frac{ - 6}{2 + 1}  \\ m =  \frac{ - 6}{3}  \\ m =  - 2

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4 0
2 years ago
Find the diagonal of the rectangular solid with the given measures.
Vikki [24]

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<h2>7</h2><h2 />

Step-by-step explanation:

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6 0
3 years ago
Need help with solving both of these questions for geometry homework.
faltersainse [42]

Answer:

m<R = m<T = 80.5 deg

Step-by-step explanation:

3)

Since WXYZ is a square, <WXZ is formed with a diagonal of the square and has measure 45 deg.

m<WXZ = 8x - 19 = 45

8x - 19 = 45

8x = 64

x = 8

4)

Draw the kite. Make sure that segments QR and RS are not congruent. Fill in the given angle measures. Angles R and T are congruent opposite angles.

The sum of the measures of the interior angles of a convex, n-sided polygon is

180(n  2).

A kite is a quadrilateral, so n = 4.

180(4 - 2) = 180(2) = 360

The sum of the measures of the interior angles of a kite is 360 deg.

m<Q + m<R + m<S + m<T = 360

75 + m<R + 124 + m<T = 360

m<R + m<T + 199 = 360

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m<R = m<T, so we substitute m<T with m<R.

m<R + m<R = 161

2m<R = 161

m<R = 80.5

m<R = m<T = 80.5 deg

8 0
3 years ago
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