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3 years ago

Follow me my disciples. We got stalkers in our cha-ts.

Mathematics

1 answer:

Gemiola [76]3 years ago

6 0

Answer:

Please give thanks to all my answers and please mark as brilliant and please follow me

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The equation x ^ 2 - 2x + y ^ 2 - 4y = 20 defines a circle in the xy-coordinate plane What is the radius of the circle?

Helga [31]

Answer:

I'll set up the problem and you can do the calculation

Step-by-step explanation:

we need to complete the squares to get the equation in the general form:

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

where h = the x coordinate of the center

k = the y coordinate of the center

r = the radius

so looking at

${x}^{2} - 2x$

we can see that if use -1 as the constant we have

${(x - 1)}^{2} = {x}^{2} - 2x + 1$

doing the same for y

${y}^{2} - 4y$

we can use -2 as the constant (basically you that the s

quare of the y coefficient )

${(y - 2)}^{2} = {y}^{2} - 4y + 4$

so now we have to add or subtract the constant on the RHS to see what the square of the radius is according to the general form of the equation at the top

20 +1+4=25

Take the square root and you have the radius

4 0

3 years ago

4×3-(2×3-16÷4) the answer with work

Reika [66]

Answer:

Step-by-step explanation:

2x3=6

16/4=4

4x3-(6-4)

6-4=2

4x3-(2)

4x3=12

12-(2)

12-2=10

3 0

3 years ago

Read 2 more answers

Which statements accurately describe the function f(x) = 3(16)^3/4? Check all that apply.

uysha [10]

Answers:

These are the statements that apply:

The initial value is 3.

The range is y >0.

The simplified base is 8.

Explanation:

1) Given expression:

$f(x)=3(16)^{\frac{3}{4} x$

2) Check every statement:

a) The initial value is 3?

initial value ⇒ x = 0 ⇒

$f(0)=3(16)^{0}=3(1)=3$

∴ The statement is right.

b) The initial value is 48?

Not, as it was already proved that it is 3.

c) The domain is x > 0?

No, because the domain of the exponential functions is all the Real numbers.

d) The range is y > 0?

That is correct, the exponential function is continuous, and monotonon increasing.

The limit when x → - ∞ is zero, but y never reaches zero, and the limit when x → ∞ is + ∞, meaning that the range is y > 0.

e) The simplified base is 12?

This is how you simplify the base:

$3(16)^{\frac{3}{4} x}=3{{(16}^{(3/4)})}^x=3(16^{3/4}})^{x}=3((2^4)^{3/4})^x=3(2^3)^x=3(8)^x$

Which shows that the simplified base is 8 (not 12).

f) The simplified base is 8?

Yes; this was just proved.

6 0

3 years ago

Read 2 more answers

Old Grandpa Joe left half his money to his granddaughter and half that amount to his grandson.

Usimov [2.4K]

Answer:

£12000

Step-by-step explanation:

Granddaughter -- 1/2 of x

Grandson -- 1/2(1/2 of x)

Brother -- 1/6 of x

Dogs' home -- £1000

Therefore,

$\frac{x}{2} + \frac{x}{4} + \frac{x}{6} + 1000 = x$

x = 12000

Thenks and mark me brainliest :)

7 0

3 years ago

Sorry i forgot how to do this....please help meeeee ;-;

Mariulka [41]

Answer:

Step-by-step explanation:

ABSOLUTE BRACKETS MEAN ABSOLUTE VALUE- this means that negatives will come out as positives since their absolute values are the same. So |-9| is just 9.

|-81-17| (apply the rule I just gave you)

|81+17|

3 0

3 years ago

Read 2 more answers