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UNO [17]
3 years ago
9

Real numbers $x$ and $y$ satisfy the equation $x^2 + y^2 = 10x - 6y - 34$. What is $x+y$?

Mathematics
1 answer:
nadya68 [22]3 years ago
8 0

Answer:

2

Step-by-step explanation:

The equation can be rewritten as ...

... (x -5)² + (y +3)² = 0 . . . . . . a circle of radius 0 centered at (5, -3)

This is the equation of the point (5, -3). So, ...

... x + y = 5 - 3 = 2

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I need to know the distance between points x and y
USPshnik [31]

Answer:

Step-by-step explanation:

Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 − x1)2 + (y2 − y1)2 {Distance formula} 2. Distance of a point P(x, y) from the origin is given by d(0,P) = √ x2 + y2.

8 0
2 years ago
△ABC∼△DEF , △ABC has a height of 14 centimeters, and △DEF has a height of 6 centimeters. What is the ratio of the area of △ABC t
Kamila [148]
Since triangle ABC is similar to triangle DEF then the ratio of the corresponding sides is constant.
The ratio of the corresponding lengths is referred to as the linear scale factor.
Considering the heights of the two triangles;
L.S.F = 14/6
          = 7/3
The ratio in area (A.S.F) is given by (L.S.F)²
Therefore, A.S.F = (7/3)² = 49/9
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8 0
3 years ago
Read 2 more answers
What is the average rate of change of the function
Reptile [31]

Answer:

Average rate of change =-35.7084

Step-by-step explanation:

Given function is f(x)=480(0.3)^x and we need to find average rate of change of the function from x=1\ to\ x=5.

Average rate of change =\frac{f(b)-f(a)}{b-a}

So,

here\ b=5\ and\ a=1\\f(5)=480(0.3)^5\\=480\times0.00243=1.1664\\and\\f(1)=480(0.3)^1\\=480\times0.3=144

Average rate of change

=\frac{f(b)-f(a)}{b-a}\\\\=\frac{f(5)-f(1)}{5-1}\\\\=\frac{1.1664-144}{5-1}\\\\=\frac{-142.8336}{4}= -35.7084

Hence, average rate of change of the function f(x)=480(0.3)^x over the intervel x=1\ to\ x=5 is =-35.7084.  

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3 years ago
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If there are 4 hunting 7 fishing 6 hiking 3 camping how many outdoor expedition are possible
finlep [7]

Answer:

20

Step-by-step explanation:

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3 years ago
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