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olga nikolaevna [1]
3 years ago
9

Which equation represents a circle with the same radius as the circle shown but with a center at (-1,1)

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
3 0

Answer:

(x + 1)² + (y - 1)² = 16

Step-by-step explanation:

Since the standard form for an equation of a circle is

<h3> (x - h)² + (y - k)² = r²</h3>

The (h,k) are co-ordinate of your centre of circle, which in this case is (-1,1) and r is the radius of circle.

As we can see in the figure radius = 4units

<em>from centre(1,-2) to (1,-2)</em>

Put these into the equation

(x + 1)² + (y - 1)² = 4²

(x + 1)² + (y - 1)² = 16

ella [17]3 years ago
3 0

Answer:

The equation of the circle is:

              (x+1)^2+(y-1)^2=4^2

                           or

                x^2+y^2+2x-2y=14

Step-by-step explanation:

The radius of the given circle as represented in the graph is: 4 units.

The center of a circle is: (-1,1)

We know that the equation of a circle with center (h,k) and radius r is given by:

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

We have:

r=4 and (h,k)=(-1,1)

Hence, the equation of circle is:

(x+1)^2+(y-1)^2=4^2\\\\\\x^2+1+2x+y^2+1-2y=16\\\\x^2+y^2+2x-2y=14

              Hence, equation is:

            (x+1)^2+(y-1)^2=4^2

                           or

                x^2+y^2+2x-2y=14

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National Income (NI) is the sum of the incomes that all individuals in an economy earn in the forms of wages,
Dennis_Churaev [7]

Answer:

\simeq 14.94  billion dollars

Step-by-step explanation:

During the period 1994 - 2004, the 'National Income' ,(NI) of Australia grew about 5.2% per year (measured in 2003 U. S, dollars).  In 1994 , the NI of Australia was $ 4 billion.

Now,

(2020 - 1994) = 26

Assuming this rate of growth continues, the NI of Australia in the year 2020 (in billion dollars) will be,

4 \times[\frac{(100 + 5.2)}{100}}]^{26}

=4 \times[\frac{105.2}{100}]^{26}

=\simeq 14.94  billion dollars (answer)

8 0
3 years ago
Please answer ASAP! An explanation is a MUST REQUIREMENT in order to receive points and the Brainliest answer. Thank you.
alexdok [17]
Group and factor/undistribute

(x^2y^3-2y^3)+(-2x^2+4)
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see the (x^2-2) is common term so undistribute
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4 0
3 years ago
Solve the system by the elimination method.<br><br> 2a + 3b = 6<br> 5a + 2b - 4 = 0
mariarad [96]
2a + 3b = 6 --> Equation 1
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2a + 3b = 6
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5 0
3 years ago
Read 2 more answers
I really need help I don’t understand how to do this
krek1111 [17]

Answer:

Step-by-step explanation:

Remark

The way this is worded, it sounds like it is a horizontal distance. However by the marking it looks like they want the hypotenuse. Life can be very confusing sometimes.

The angle of the triangle that you need to know is the one on the right. The line of sight line is parallel to the base of the triangle. So the angle on the right is 8 degrees by the Z theorem.

Solution

Sin(8) = 1817 / x           Multiply both sides by x

x*sin(8) = 1817             Divide by sin(8)

x = 1817/sin(8)

sin(8) = 0.1392

x = 1817/0.1392

x = 13055.7

Note

Watch how you do this. I would put it into your calculator as

1817

÷

sin(8)

=

If you use the rounded answer I gave for sin(8), you might get it wrong. This is a big distance and you should just use the exact number you get for sin(8).

8 0
3 years ago
. a) In a group of 75 students, 20 liked football only, 30 liked cricket only and 18 did not like any of two games? (i) How many
qaws [65]

i)50

<u>Steps</u>

30+20=50

ii)7

<u>Steps</u>

75-(30+20)-18

=75-(50)-18

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iii)20

<u>Steps</u>

From the available data from the question

iv)30

<u>Steps</u>

From the available data from the questionl

v)From the attcged image file

4 0
3 years ago
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