Determine the center and radius of the following circle equation:
x² + y² – 6x – 2y – 71 = 0
Center:
Radius:

Answer:

The answer is E infinitely many.

Step-by-step explanation:

The answer is Infinitely because if the sides are parallel then the other two sides must be the same measurement. However, they can be any measurement they want. So the answer is infinite triangles.

Answer:

(2,-8)

Step-by-step explanation:

y have

y=3x-14

y=x-10

we can substitute y in the first equation with x-10

x-10=3x-14

solve for x

4=2x

x=2

Now that we know what x equals we can solve for y

3(2)-14

6-14

-8=y

(2,-8)

Answer:

1/19

Step-by-step explanation:

In order to find the reciprocal of a number, we need to flop it over.

"Flopping over" is not the same as "changing the sign of the number"

So what does "flopping over" actually mean?

Consult the following formula:-

[tex]\sf{The~reciprocal~of~a~is\mapsto\frac{1}{a} }[/tex]

According to the formula,

[tex]\sf{The~reciprocal~of~19~is~\frac{1}{19}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

2

Step-by-step explanation:

2x=4

x=2

that's it,

______

have fun, don't forget to brilliant

Answer:

=2

Step-by-step explanation:

1. Subtract  from both sides of the equation

2+5=9

2+5−5=9-5

2.Simplify

Subtract the numbers

2+5−5=9−5

2=9−5

Subtract the numbers

2=9−5

2=4

3.Divide both sides of the equation by the same term

2=4

22=4

4.Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

Answer:

5x + 25

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

5(x + 5)

Step 2: Expand

Answer:

9/19

Step-by-step explanation:

Number of slots  =38

red balls R  = 38, black balls B = 18, green balls G = 2

we want to calculate

P( Red ball/ previous 4 spins are red) = P( red ball)       [because each spin is independent to other]

= 18/38 = 9/19

Answer:

1. x = 2

2. x = 6

3. x = 6

4. x = 1

Step-by-step explanation:  i think thats it

Answer:

x = 2, x = 3, x = 6, x = 1

Step-by-step explanation:

1

2(x + 3) = 10 ( divide both sides by 2 )

x + 3 = 5 ( subtract 3 from both sides )

x = 2

2

2(x + 3) = 9 + x ← distribute parenthesis on left side

2x + 6 = 9 + x ( subtract x from both sides )

x + 6 = 9 ( subtract 6 from both sides )

x = 3

3

2(2x + 1) = 3x + 8 ← distribute parenthesis on left side

4x + 2 = 3x + 8 ( subtract 3x from both sides )

x + 2 = 8 ( subtract 2 from both sides )

x = 6

4

2(2x + 3) = x + 9 ← distribute parenthesis on left side

4x + 6 = x + 9 ( subtract x from both sides )

3x + 6 = 9 ( subtract 6 from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Step-by-step explanation:

For 1st question

x = 35° + 15° {exterior angle of a triangle is equal to the sum of two opposite interior angles }

x = 50°

For second question

9x + 16° = 90° + 5x - 14°{exterior angle of a triangle is equal to the sum of two opposite interior angles }

9x - 5x = 90° - 14° - 16°

4x = 60°

x = 60° / 4

x = 15°

Hope it will help :)

Answer:

21 units

Step-by-step explanation:

The formula for solving a triangle is (b×h)/2

So that means 7 × 6 = 42 so then you want to divide 42 by 2

42÷2= 21

Answer:

D 21

Step-by-step explanation:

A=1/2bh is the  formula it’s simpl.

Answer:

first and last graph

Step-by-step explanation:

just did the assignment, good luck lol

Answer:

Step-by-step explanation:

Average speed is distance divided by time.

s=(101km)/(1hr)

s=101 km/hr

Answer:

1/6

Step-by-step explanation:

here is it

Answer:

52mph

Step-by-step explanation:

260/5

Answer:

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class

Step-by-step explanation:

We solve this question working with the probabilities as Venn sets.

I am going to say that:

Event A: Taking a math class.

Event B: Taking an English class.

77% of students are taking a math class

This means that [tex]P(A) = 0.77[/tex]

74% of student are taking an English class

This means that [tex]P(B) = 0.74[/tex]

70% of students are taking both

This means that [tex]P(A \cap B) = 0.7[/tex]

Find the probability that a randomly selected student is taking a math class or an English class.

This is [tex]P(A \cup B)[/tex], which is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cup B) = 0.77 + 0.74 - 0.7 = 0.81[/tex]

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.

Find the probability that a randomly selected student is taking neither a math class nor an English class.

This is

[tex]1 - P(A \cup B) = 1 - 0.81 = 0.19[/tex]

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class

Answer:

In week 1, 69.15% of sales were 10-inch pizzas, and the remaining 30.85% were 12-inch pizzas; while in week 2, 71.09% of sales were 10-inch pizzas, and the remaining 28.91% were 12-inch pizzas.

Step-by-step explanation:

Given that a takeaway sells 10 inch pizzas and 12 inch pizzas, to determine what proportion sold were 10 inch pizzas in week 1 and what proportion sold were 10 inch in week 2, the following calculation must be performed:

Week 1 = 736 total sales

10-inch pizzas = 509

736 = 100

509 = X

509 x 100/736 = X

50,900 / 736 = X

69.15 = X

100 - 69.15 = 30.85

Thus, in week 1, 69.15% of sales were 10-inch pizzas, while the remaining 30.85% were 12-inch pizzas.

Week 2 = 1076 total sales

10-inch pizzas = 765

1076 = 100

765 = x

765 x 100/1076 = X

76500/1076 = X

71.09 = X

100 - 71.09 = 28.91

Thus, in week 2, 71.09% of sales were 10-inch pizzas, while the remaining 28.91% were 12-inch pizzas.

Answer:

(csc c-cot c) ^2

Step-by-step explanation:

Answer:

the answer should be 200

Answer:

6400

Step-by-step explanation:

(8)(10)2

(80)2

6400

Answer:

160

Step-by-step explanation:

you replace x with 8 and replace y with 10

Whenever the numbers are close together such as "xy2" it mean you're multiplying

so whwn you multiply 8 * 10 * 2   you would get 160

Hoped this helped!

Answer:9x^2+5x

Step-by-step explanation:

Answer:

67 886/1093

Step-by-step explanation:

Answer:

a) 5/12 probability of selecting a red marble.

b) 7/12 probability of selecting a green marble.

c) 0% probability of selecting a purple marble.

d) All marbles are either red or green, so 100% probability of selecting a red or a green marble

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

a) A red marble

5 red marbles out of 5 + 7 = 12 total marbles

So, 5/12 probability of selecting a red marble.

b) A green marble

7 green marbles out of 5 + 7 = 12 total marbles

So, 7/12 probability of selecting a green marble.

c) A purple marble

There are no purple marbles, so 0% probability of selecting a purple marble.

d) A red or a green marble

All marbles are either red or green, so 100% probability of selecting a red or a green marble

Answer:

D.)

Explanation:

[tex]A=[/tex]πr²

[tex]A=[/tex]π[tex](4x^{7} y^{3} )^{2}[/tex]

According to the Power Rule you raise coefficients to the power and multiply the exponents

[tex]A=([/tex]π[tex])(16x^{14} y^{6} )[/tex]

[tex]A=16[/tex]π[tex]x^{14}y^{6}[/tex]

Answer:

no

Step-by-step explanation: