In right triangle ABC, m∠B ≠ m∠C. Let sin B = r and cos B = s. What is sin C – cos C?

The radius of the circle is 4 units.

Given to us:

[tex]x^2 + y^2 - 10x + 6y + 18 = 0[/tex]

The generalized format for radius of a circle is given by:

[tex]\\(x - h)^2 + (x - k)^2 = a^2\\where,\\h, k= coordinate\ of\ the\ center\ of\ the\ circle\\a= radius\ of\ the\ circle[/tex]

therefore after rearrangement of the equation we get,

[tex]x^2 + y^2 - 10x + 6y + 18 = 0,\\x^2 - 10x + y^2 + 6y =- 18,\\[/tex]

adding 25 and 9 on both the sides to bring it in the generalized format for radius of a circle,we get

[tex]x^2 - 10x+25 + y^2+ 6y+9 =-18+25+9,\\[/tex]

[tex](x - 5)^2 + (y + 3)^2 = 16\\(x - 5)^2 + (y + 3)^2 = 4^2\\[/tex]

Hence, the coordinate for this circle are x=5 and y=-3. And the radius of the circle is 4 units.

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[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is B. Vertical

Vertical Angles have each of the pairs of opposite angles made by two intersecting lines .

Answer:

vertical

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......

Answer:

  15. y = 6x

  16. x = 11

Step-by-step explanation:

15. A direct variation equation is of the form ...

  y = kx

Solving for k, we find ...

  k = y/x = 42/7 = 6

The equation is y = 6x.

__

16. Filling in the given values, we have ...

  66 = 6x

  11 = x . . . . . . . divide by 6

Answer:

10 dimes and 6 quarters.

Step-by-step explanation:

2.50-25-25=2.00-10 dimes = 1.00-4 0.25=0

so

10 dimes and 6 quarters.

Answer:

10 Dimes and 6 Quarters.

Step-by-step explanation:

Important info:

16 Coins

Total = $2.50

Note:

Dimes = 0.10 Cents

Quarters = 0.25 Cents

Question to answer:

How many of each type of coin does she have?

Solution:

10 Dimes = $1.00

6 Quarters = $1.50

$1.00+$1.50 = $2.50

Therefore 10 Dimes and 6 Quarters = $2.50 and = 16 Coin.

[tex] \: \: \: \: \: \: [/tex]

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, - 2 ) into the partial equation

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = - [tex]\frac{1}{2}[/tex] x - 1 ← equation of line

Answer:

y=-1/2x-1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/2(x-2)

y+2=-1/2(x-2)

y=-1/2x+2/2-2

y=-1/2x+1-2

y=-1/2x-1

Step-by-step explanation:

i am trying to solve it but how

many chocolate were there in a box

I think this is √2n-5 = 10.

Answer:

Step-by-step explanation:

We'll start with the slope intercept form of a straight line equation:

y = mx + b, where x is the slope and b the y-intercept.  The slope we are given is 3, so:

y = 3x + b

We need a value of b that will force the line to go through (-3,-1).  Do this by entering that point in the equation and solving for b:

y = -3x + b

-1 = 3(-3) + b

b = 8

y = 3x + 8

Answer:

Step-by-step explanation:

9.43

Answer:

the Domain would be represented by Time in this problem, since time can only be positive, the domain would start at zero seconds and end at 5 seconds when the soccer ball hits the ground.

Step-by-step explanation:

Answer:

[tex]a_n=\frac{1}{2}a_{n-1}[/tex]

Step-by-step explanation:

Here, you can see every consecutive term is divided by 2. I think that's pretty obvious looking at it, but you can work it out like this if you'd like to. Divide each consecutive term by the one before it:

[tex]6\div12=\frac{1}{2}\\\\3\div6=\frac{1}{2}\\\\\frac{3}{2}\div3=\frac{1}{2}[/tex]

Each term is multiplied by 1/2 over the last, or divided by 2. In this case actually, we do want it in the form of "multiplied by 1/2", as the recursive equation is:

[tex]a_n=xa_{n-1}[/tex]

where x is the factor. Here, we're multiplying by x, so we want "multiplied by 1/2" as described above. x is 1/2, so you can write the equation:

[tex]a_n=\frac{1}{2}a_{n-1}[/tex]

You can simply interpret this as "each term is 1/2 of the term before it"

Answer:

is it 60$

Step-by-step explanation:

because if its 100% than it would be 40+40+40

due to 50% = 120 ÷50%

= 60

Answer:

2

Step-by-step explanation:

Basically I use rise over run, or rise ÷ run.

The rise is 4 and the run is 2 in the section I chose. 4÷2 is equal to 2, so the rate of change is 2 feet per second.

Answer:

13

Step-by-step explanation:

533÷41=13 just use a calculator

Answer:

3 is in the wrong place

Step-by-step explanation:

:)

One of the errors made by Margie by saying the set of numbers 0, 1, -1, -21, 4, 3 is that the -21 should be the first number on the list.

The given set of numbers is:

0, 1, -1, -21, 4, 3.

Margie says that the set of numbers above is in order from least to greatest

Kindly note that:

The negative number with the highest magnitude is the lowest

The positive number with the highest magnitude is the highest

Arranging this number by carefully following the note above, the set of numbers above from the least to greatest is:

-21, -1, 0, 1, 3, 4

It is obvious that Margie made a mistake in arranging the numbers, and one of the mistake is that the -21 should be the first number on the list since it is the most negative

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The set of all even integers greater than or equal to 50 and less than or equal to 510

In other words, [tex]0 \le E \le 510[/tex] where E is an even integer.

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Explanation:

The domain is the set of allowed inputs, while the range is the set of allowed outputs. For now, let's focus on the domain.

In this case, the domain is the set of integers between 0 and 230. We're dealing with the set {0,1,2,..., 229, 230} to represent the possible number of people who bought the video.

Let's plug in the smallest item from the domain (v = 0).

E = 50+2v

E = 50+2*0

E = 50+0

E = 50

This matches with the fact Roger gets paid $50 even if he didn't sell anything. This is the flat up front fee he got.

Now let's plug in the largest value for v (230).

E = 50+2v

E = 50+2*230

E = 50+460

E = 510

This tells us that $510 is the most Roger can get from the audience of 230 people. This is assuming that each person buys only one copy.

So we can see that the range of E values spans from $0 to $510.

Furthermore, notice that 2 can be factored from 50+2v to get 2(25+v). This shows that the expression 50+2v is always even. Therefore, we must clarify that we're dealing with the set of even numbers between 0 and 510

In symbolic form, we'd say [tex]0\le E \le 510[/tex] where E is an even integer.

In roster form, the range of possible E values is {0, 2, 4, ..., 506, 508, 510}.

Answer: the answer is A

Answer:

D.

Step-by-step explanation:

The question is asking which expressions are the same. To find the answer, or rather confirm it, you should simplify each expression.

A. 8+(3*y) and (8+3)*y

8+3y and 11y

This cannot be the answer, when simplified they are not equal

B. (7-3)*y and 7-(3*y)

4y and 7-3y

This cannot be the answer, when simplified they are not equal

C. (6/y)+13 and 13+(y/6)

13+6/y and y/6+13

This cannot be the answer, when simplified they are not equal

D. 7+(y*5) and 7+(5*y)

7+5y and 7+5y

This is the answer, when simplified they are equal

I hoped this helped and made it easier to understand! :)

c: 782 dollars

.15 times 17 is 2.55

17+2.55= 19.55

19.55 times 40=782

Answer:

D

Step-by-step explanation:

Answer:

x = 56

y = 15

Step-by-step explanation:

"The sum of two numbers is 71."

x + y = 71

"The difference of the two  numbers is 41."

x - y = 41

Solve the system:

From the first eq.

x = 71 - y

Replacing this value in the second eq.

(71-y) - y = 41

71 - 2y = 41

71 - 41 = 2y

30 = 2y

y = 30/2

y = 15

From the second eq.

x - y = 41

x - 15 = 41

x = 41 + 15

x = 56

Check:

from the first eq.

x + y = 71

56 + 15 = 71

Answer:

8  chicken and 4 steak .

Step-by-step explanation:

8 x 14.99 =  119.29

4 x 25 = 100

Answer:

8

Step-by-step explanation:

88888888888888888888888888888888888

Answer: 1 is given, 2 is combine like terms, 3 is addition property of equality

Step-by-step explanation:

Answer:

The leading coefficient test requires a polynomial.

Not a polynomial

Step-by-step explanation:

Answer:

  x → -∞, f(x) → ∞

  x → ∞, f(x) → -2

Step-by-step explanation:

f(x) is an exponential function with a base less than 1. It represents decay, so will approach infinity as x approaches negative infinity. It will approach a horizontal asymptote for large positive x.

The -2 added to the exponential term moves the asymptote from y=0 to y=-2.

  x → -∞, f(x) → ∞

  x → ∞, f(x) → -2

[tex]4(2x-11) \leq -12 +2(x-4)\\\\\implies 8x - 44 \leq -12 + 2x -8\\\\\implies 8x -44 \leq 2x -20\\\\\implies 4x - 22 \leq x - 10~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 2}]\\\\\implies 4x -22 +22 \leq x -10 +22~~~~~~;[\text{Adding 22 to both sides}]\\\\\implies 4x \leq x+12\\\\\implies 4x -x \leq x+12-x~~~~~~~~~~~~~~~~;[\text{Subtracting x from both sides}]\\\\\implies 3x \leq 12\\\\\implies x \leq 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 3}][/tex]

[tex]\text{Interval solution,} ~(-\infty, 4][/tex]