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siniylev [52]
3 years ago
9

Given the equation of the circle find the center and the radius: (x - 3)2 + (y + 1)2 = 49

Mathematics
1 answer:
marta [7]3 years ago
3 0

Answer:

(3, -1), 7

Step-by-step explanation:

To find the center of this circle:  compare the given equation

(x - 3)^2 + (y + 1)^2 = 7^2   to the standard equation of a circle with center at (h, k):

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

From this comparison we see that the center is at

h = 3 and k = -1, and also that r must be 7:    (3, -1), 7

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Y = x -5<br> x + y = -1 <br> whats the soultion for the systeam of eqations
pantera1 [17]

Answer:

x = 2

y = -3

Step-by-step explanation:

y = x - 5  -------------------(I)

x + y = -1 ----------------(II)

Substitute y = x -5 in equation (II)

x + (x - 5) = -1

x + x - 5 = -1   {Combine like terms}

   2x - 5 = -1 {Add 5 to both sides}

        2x  = -1 + 5

         2x = 4 {Divide both sides by 2}

           x = 4/2

x = 2

Substitute x = 2 in equation (I)

y = 2 - 5

y = -3

3 0
2 years ago
A restaurant has 10 sodas that come in 12 different cup sizes. How many different drinks can you order?
uranmaximum [27]

Answer:

There are 120 different drinks that you can order.

Step-by-step explanation:

You have 10 options of soda for which you can choose.

For each options, there are 12 different cup sizes.

12*10 = 120

So there are 120 different drinks that you can order.

3 0
3 years ago
A times a to the 7 power
ivolga24 [154]

Answer:

{a}^{8}

Step-by-step explanation:

a is a¹ and you have a^7 in multiplication you add the exponents. If you were to have a numerical value, you would replace a and calculate. If a = -5 then: a^8 =

( - 5)^{8}

which is = 390 625

4 0
3 years ago
What is the equation in point slope form for a linear function with a slope of m= -4 that passes through the point (2, -7)?
miskamm [114]

Answer:

-7-y1=-4(2-x1)

Step-by-step explanation:

Point slope form is like this: y-y1=m(x-x1) where y is the y value, x is the x value, and m is the slope. You plug the values in.

8 0
3 years ago
The first three terms of a sequence are given. Round to the nearest thousandth (if
andrey2020 [161]

The 34th term of the sequence 158, 155, 152 ...... is 59

The sequence is as follows:

158, 155, 152 ......

let

a = first term = 158

d = common difference = 155 - 158 = -3

Using Arithmetic progression formula, let's find the 34th term as follows:

aₙ = a + (n - 1)d

a₃₄ = 158 + (34 - 1)-3

a₃₄ = 158 + (33)(-3)

a₃₄ = 158 - 99

a₃₄ = 59

Therefore, the 34th term of the sequence is 59.

learn more about sequence here: brainly.com/question/23251262?referrer=searchResults

3 0
2 years ago
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