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Zarrin [17]
3 years ago
11

Find the equation of a circle with a center at (7, 2) and a point on the circle at (-2, -5).

Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer:

(x-7)^2 + (y-2) ^2 = 130

Step-by-step explanation:

We need to find the length of the radius

the length of the radius is found by using the distance formula

r = sqrt(  ( -2-7)^2+( -5 -2)^2)

    sqrt(  ( -9)^2+( -7)^2)

    sqrt( 81+49)

    sqrt(130)

The formula for a circle is

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

where (h,k) is the center and r is the radius

(x-7)^2 + (y-2) ^2 = 130

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grandymaker [24]
-3(2)(-4)+4(2)-3=24+8-3=29

The value is 29
4 0
3 years ago
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A rectangle has a length of 5^3 units and a width of 5^2 units. What is the area of the​ rectangle? Write your answer as a power
katen-ka-za [31]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
If $a$, $b$, $c$, and $d$ are replaced by four distinct digits from $1$ to $9$, inclusive, then what's the largest possible valu
Alexxx [7]

Answer:

70

Step-by-step explanation:

  • for the value of difference to be largest, the minuend should be maximum(most possibly) and the subtrahend should be minimum

[in A-B=X, A is minuend and B is subtrahend ]

  • so, $a.b should be maximum. as there is a condition that 4 digits should be distinct, the product will be maximum if we choose 2 maximum valued numbers from the given numbers. so, one of them should be 9 and the other should be 8.

therefore, $a.b=9*8=72

  • as mentioned above, c.d$ should be minimum. this will be possible only when we choose  2 minimum valued numbers from the given numbers. so, one of them should be 1 and the other should be 2.

therefore, c.d$ = 1*2 = 2

  • hence, the difference = 72-2 = 70
  • thus,  the largest possible value of the difference $a.b - c.d$ = 70
7 0
3 years ago
Kate wants to divide 20,000 peso savings between her 2 cousins. If she divides it in the ratio 2:3 between Maria and Ana, respec
lara [203]

Maria: 2x

Ana: 3x

2x + 3x = 20000

5x = 20000

x = 20000/5

x = 400

Maria: 2x

2× 400

8000

Anna: 3x

3 × 400

12000

8 0
2 years ago
PLEASE HELP WILL MARK BRAINLIEST<br> -SEE ATTACHMENT-
yuradex [85]

ANSWER

(x - 5) ^{5}  =  {x}^{5}  - 25 {x}^{4} + 250 {x}^{3}   - 1250 {x}^{2} + 3125x- 3125

EXPLANATION

From the Pascal's triangle,

The coefficients are :

1, 5, 10,10, 5,1

Because of the negative sign, the expansion will alternate sign.

(x - y) ^{5}  =  {x}^{5}  - 5 {x}^{4} y + 10 {x}^{3}  {y}^{2}  - 10 {x}^{2}  {y}^{3}  + 5x {y}^{4}  -  {y}^{5}

We now put y=5 into the expansion to get,

(x - 5) ^{5}  =  {x}^{5}  - 5 {x}^{4} (5) + 10 {x}^{3} ( {5}^{2})  - 10 {x}^{2}  ({5})^{3}  + 5x( {5})^{4}  - {5}^{5}

(x - 5) ^{5}  =  {x}^{5}  - 25 {x}^{4} + 250 {x}^{3}   - 1250 {x}^{2} + 3125x- 3125

3 0
3 years ago
Read 2 more answers
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