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3 years ago

What is the center and radius of the equation (x-8)^2 +(y+6)^2=13

Mathematics

1 answer:

tatyana61 [14]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

the equation of a circle in standard form is

(x - a)² + (y - b)² = r²

where (a, b) are the coordinates of the centre and r is the radius

(x - 8)² + (y + 6)² = 13 is in this form

with centre = (8, - 6) and r = $\sqrt{13}$

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Please help!!!! Find X and Y

Rudik [331]

Answer: X=15 , Y=15 $\sqrt{3}$

Step-by-step explanation:

This triangle is a 30, 60, 90 so that means it would be - a, 2a, a $\sqrt{3}$ on each side, so add that all together and you get x-15 and y-15 $\sqrt{3}$

5 0

4 years ago

Which calculation will ALWAYS give a result greater than 1? A.5 × a number less than 1 B.4/9+ a fraction less than 12 C. 1 3/4 -

Bas_tet [7]

Answer:

C. 1 3/4 - (a fraction less than 3/4)

Step-by-step explanation:

Your number sense should be able to help you with this one.

A. 5 × 1/10 = 1/2, not a number greater than 1

B. 4/9 + 1/3 = 7/9, not a number greater than 1

C. 1 3/4 -1/2 = 1 1/4, a number greater than 1 (see below for more explanation)

D. 7/8 × 1/2 = 7/16, not a number greater than 1.

<em>More explanation</em>

Let x represent a number less than 3/4. Then we want to make sure that ...

y = 1 3/4 - x

will be greater than 1.

Solving for x, we get ...

x = 1 3/4 - y

Applying the requirement that x < 3/4, we have ...

x < 3/4

(1 3/4 -y) < 3/4

1 3/4 < y + 3/4 . . . . . . add y

1 < y . . . . . . . . . . . . . . .subtract 3/4

We see that the condition on x makes sure that y is always greater than 1.

3 0

3 years ago

The sum of the polynomial x^3+7x^2+8 and the product of the polynomials x^2–6x+4 and x–1

Diano4ka-milaya [45]

I am also not sure, because I also asked this question.

8 0

3 years ago

Read 2 more answers

The volumes of a water balloon and an air balloon after they are punctured are represented by the

spin [16.1K]

Answer:

Both air balloon and water balloon data are best modeled by an exponential function.

Step-by-step explanation:

Air balloon

Time (seconds) Volume (cubic centimeters)

0 95

3 69

6 50

9 37

12 27

The relation Volume variation/time is constant for lines, In this case, this value change from point to point, as can be seen next.

(69 - 95)/3 = -8.67

(50 - 69)/3 = -6.33

(37 - 50)/3 = -4.33

(27 - 37)/3 = -3.33

Water balloon

Time (seconds) Volume (cubic centimeters)

0 30

3 15.8

6 7.8

9 4

12 2

(30 - 15.8)/-3 = -4.73

(15.8 - 7.8)/-3 = -2.67

(7.8 - 4)/-3 = -1.27

(4 - 2)/-3 = -0.67

In this case, the relation Volume variation/time also change from point to point.

Then, both air balloon and water balloon data are best modeled by an exponential function.

6 0

3 years ago

Each of 11 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating n

Pie

Answer:

The correct answer is 1,51%

Step-by-step explanation:

To get the probability equally likely of the first 6 examined that have a defective compressor, we use the following formula

P=# of possibilities that meet the condition / #of equally likely possibilities.

As there are multiple events , and all must be achieve, we multiply the probabilities.

P1=7 / 11

P2=6 / 10

P3=5 / 9

P4=4 / 8

P5=3 / 7

P6=2 / 6

P(x)=7 / 11*6 / 10*5 / 9*4 / 8*3 / 7*2 / 6=0,01515151515

P(x)=1,51%

3 0

3 years ago