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slamgirl [31]
2 years ago
15

What is the radius of the circle: (x+1)^2+(y-12)^2=25

Mathematics
2 answers:
Flauer [41]2 years ago
7 0
Radius= 5 radius=5 radius= 5 radius= 5
lidiya [134]2 years ago
4 0

Answer:

radius = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here r² = 25 ( take the square root of both sides )

r = \sqrt{25} = 5

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g The tangent plane to z=f(x,y) at the point (1,2) is z=5x+2y−10. (a) Find fx(1,2) and fy(1,2). fx(1,2)= Number fy(1,2)= Number
murzikaleks [220]

Answer:

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Approximation at points (1.1,1.9) is 0.7

Step-by-step explanation:

Given:

Tangent plane to  a surface z=5x+2y-10 as the function at point (1,2)

To find :

f(x,y) at (1,2)

partial derivatives of function w.r.t. (x and y) and value of that function at given points.

Solution:(refer the attachment also)

Now we know that

the equation of tangent plane at given points to the surface is given by,

f(x1,y1,z1) and z=f(x,y)

z-z1=Fx(x1,y1)*(x-x1)+Fy(x1,y1)*(y-y1)

here Fx(x1,y1) and Fy(x1,y1) are the partial derivatives of x and y.

now

taking partial derivative w.r.t. x we get

Fx(x1`,y1)=\frac{d}{dx} (5x+2y-10)

=5.

Then w.r.t y we get

Fy(x1,y1)=

\frac{d}{dy}(5x+2y-10)

=2.

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Using the Linearization or linear approximation we get

L(x,y)=f(x1,y1)+Fx(x,y)*(x-x1)+Fy(x,y)(y-y1)

=-1+5(x-1)+2(y-2)

=5x+2y-10

Approximation at F(1.1,1.9)

=5(1.1)+2(1.9)-10

=5.5+3.8-10

=0.7

Approximation at points (1.1,1.9) is 0.7

6 0
3 years ago
A random sample of eighty-five students in Chicago city high schools takes a course designed to improve SAT scores. Based on the
erica [24]

Answer:

(B) The correct interpretation of this interval is that 90% of the students in the population should have their scores improve by between 72.3 and 91.4 points.

Step-by-step explanation:

Confidence interval is the range the true values fall in under a given <em>confidence level</em>.

Confidence level states the probability that a random chosen sample performs the surveyed characteristic in the range of confidence interval. Thus,

90% confidence interval means that there is 90% probability that the statistic (in this case SAT score improvement) of a member of the population falls in the confidence interval.

7 0
3 years ago
7x+6= 5(x+2)<br>help me​
Zigmanuir [339]

\huge \pink{solution}

Given :7x+6=5(x+2)

Now We will use the distributive property to multiply 5 by x+2.

→7x+6=5x+10

We will Subtract 5x from both sides.

→7x+6−5x=10

We will Combine 7x and −5x to get 2x.

→2x+6=10

We will Subtract 6 from both sides.

2x=10−6

We will Subtract 6 from 10 to get 4.

2x=4

We will Divide both sides by 2.

x= 4/2

At last,We Divide 4 by 2 to get 2.

x=2

7 0
3 years ago
Read 2 more answers
How do you write a real world scenario using equations​
olga2289 [7]

Answer:

You will need an unknown value at first. Let that value be X.

Step-by-step explanation:

So let's say that Sandra earns 5 dollars per hour and already has 30 dollars. Now lets use this form

y-mx+b(Easy way to write one)

y=5x+30    

X Is Number of hours while y is the money gained

6 0
3 years ago
A segment in the coordinate plane has an endpoint with coordinates (1,2) and midpoint with coordinates (4,3). What are the coord
Serga [27]

Answer:

(7,4)

Step-by-step explanation:

midpoint formula (x1+x2)/2 , (y1+y2)/2

Look at x and y for the endpoints separately

midpoint x value = ( 1 + x)/2

4= (1 + x)/2

8 = 1 + x

x = 7

midpoint y value =  (2 + y)/2

3 = (2 + y)/2

6 = 2 + y

y = 4

endpoint (x,y) = (7,4)

8 0
3 years ago
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