Find the equation of the tangent to the circle, whose equation is given below, at the point (-4,2).
(x+2)^2+(y−3)^2=5

Answer:

D

Step-by-step explanation:

[tex]y = 3\sqrt{2}[/tex]

Just use pythagorean theorem, very simple.

c = [tex]\sqrt{a^{2}+b^{2} }[/tex]

In your case c is y

your answer calculated will come out to 4.24 but put in terms your teacher wants will be

[tex]y = 3\sqrt{2}[/tex]

y = x is a positively sloped line, meaning that it points to the right. It also has a y-intercept of (0,0).

y = -1/2x + 3 is a negatively sloped line, meaning that it points to the left. It has a y-intercept of (0,-3).

The correct graph is Graph A.

Hope this helps! :)

Answer: 120

Step-by-step explanation:

first you distribute 5 to 11 and -17 to get (55 - 85) then you distribute 6 to 14 and -7 to now get (55-85) + (84-42) then you distribute -12 to 2 and 7 to now have (55-85) + (84-42) - ( -24 + -84) to get 120 you multiple when you distruibute for these cause its outside the parenthesis so you multiply the number by everything in the parenthesis

Answer:

  $53.61

Step-by-step explanation:

It looks like the rate of change is supposed to be -2 2/5% = -2.4% per year. That means the "growth factor" is ...

  growth factor = 1 + growth rate

  growth factor = 1 -2.4% = 1 -0.024 = 0.976

Each year, Charisse's cactus salt and pepper shakers will have their value multiplied by this factor. After 2 years, their value will be ...

  ($56.28)(0.976)(0.976) = $56.28×0.976^2 ≈ $53.61

The value is projected to be $53.61 in 2 years.

Answer: f(x)= Vertical stretch by a factor of 3, vertical translation down 1.

g(x)= Vertical compression by a factor of 1/3, vertical translation down 1.

Answer:

The correct answer is A

Step-by-step explanation:

hope it will help you

Answer:

25 questions total

Step-by-step explanation:

I hope this helps!

Answer: 65.11%

Step-by-step explanation:

The range for the measure of the third side of the triangle is (5, 38).

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

Two sides of the triangle are 18 ft and 23 ft.

Let the third side of the triangle is x cm.

Since, the third side is greater than the difference of the remaining sides and less than the sum of the two sides.

Implies that,

23 - 18 < x < 23 + 18

5 < x < 38

The range of the third side varies from (5, 38).

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Answer:

b=22/15 or 1.46 repeating

Step-by-step explanation:

Answer:

i found this so srry if its wrong i saw no one answering this so i wanna help

Step-by-step explanation:

so,  x*(7/100) + (3500 - x)*(4/100) = 197

=> 3x + 14000 = 19700

=> 3x = 19700 - 14000

=> x = 5700/3 = 1900

Answer:

y= -21; m∠MNO=40°.

Step-by-step explanation:

1) m∠MON+m∠MNO=90°;

2) -3y-13°-2y-2°=90°;

5y=-105°; ⇒ y= -21;

3) m∠MNO=-2y-2°=42°-2°=40°.

The number of roses purchased will be; 12 roses

The total cost of the bouquet is; $51

Let number of roses be x

For Summerfield florists;

At $1 per rose and $39 for the vase, cost is;

C = x + 39

For grayson's flowers;

At $3 per rose and $15 for the vase,total cost is;

C = 3x + 15

We are told when he orders a certain number of roses, the cost will be the same with each flower shop.

Thus;

x + 39 = 3x + 15

3x - x = 39 - 15

2x = 24

x = 24/2

x = 12

Total cost is;

C = 12 + 39

C = $51

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Answer:

1. Given

2. Distributive Prop

3. Addition Prop

4. Division Prop

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

x1=4,y1=4,m=0

Equation of a line: y-y1=m(x-x1)

y-4=0(x-4)

y-4=0

y=4

Answer:

(-4,2)

Step-by-step explanation:

See attachment

Answer:

40-d

Step-by-step explanation:

Answer: yes they are perpendicular

Answer:

Kim is younger than 6 years

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

12.76

Step-by-step explanation:

because 510.44 x 2.5%= 510.44 x 0.025= 12.76

hope this helps you guys have a great day to all of you guys

The finance charge would be the amount of $6.64 on Lauren's February statement.

What is the finance charge?

The finance charge is the multiplication of the average daily balance and the monthly periodic rate.

The finance charge = average daily balance ×  monthly periodic rate

The bill shows an average daily balance of  $510.44, and the monthly periodic rate is 1.3%.

The finance charge =  $510.44 x 1.3%.

The finance charge  = $6.635

Round the nearest to the hundredth,

The finance charge  = $6.64

Hence, the finance charge would be the amount of $6.64 on Lauren's February statement.

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Answer: B

Step-by-step explanation: this equation is written in slope intercept form, which represents: y = mx + b. m = the slope and b = the y intercept.  

The y intercept of that line 3, since that is the value of y when x equals 0. If we go from that point to the next one up. Notice how the value of x and y is changing. We go over by 1 and up by 2. That can be written as 2/-1 or 2.

HOWEVER, since the slope is going down from right to left, it has a a negative slope. Meaning the slope is a -2 not a positive 2.

Now, let's insert our values into the equation y = mx + b. That would be:

y = -2x + 3 which is B and therefore our answer

Answer:

27

Step-by-step explanation:

The triangle shown is a right triangle, indicated by the little square at the bottom right. When trying to find the length of a missing leg of a right triangle we can use the Pythagorean theorem.

Pythagorean theorem : a² + b² = c²

Where a and b = legs and c = hypotenuse ( longest side )

We are given the length of the hypotenuse as well as a leg and we need to find the other leg.

Hypotenuse (c) = 45

Leg (a) = 36

To find the length of the other leg we can plug in the given values of the hypotenuse and the leg into the Pythagorean theorem and solve for b

Recall the Pythagorean theorem : a² + b² = c²

a = 36 and c = 45

(36)² + b² = (45)²

simplify exponents : 36² = 1296 and 45² = 2025

1296 + b² = 2025

subtract 1296 from both sides: 1296 - 1296 cancels out and 2025 - 1296 = 729

b² = 729

take the square root of both sides: √(b)² = b and √729 = 27

We're left with b = 27 meaning that the length of the other leg ( or missing side ) is 27

A total of 225 tickets were sold to adults for the school play.

In this problem we see the case of 379 tickets being sold to adults and students and there was 71 tickets more sold to adults. This situation is defined by following equations:

x + y = 379

x + 71 = y

Where:

Now we proceed to solve the system of linear equations:

x + (x + 71) = 379

2 · x = 308

x = 154

And the number of tickets sold to adults is:

y = x + 71

y = 154 + 71

y = 225

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Answer:

I think the answer is D please forgive me if I'm wrong

Answer:

Step-by-step explanation:

Let the digits be:

Each of them include numbers 1 through 5.

For each digit there are 5 options.

Total number of combinations is:

Answer:

Step-by-step explanation:

Rule: An absolute value will always be positive.

=> Referring to the rule, the absolute value of |–3.25| is 3.25.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

17.001>17.0001

Answer:

17.001>17.0001

Step-by-step explanation:

17.001 is greater than 17.0001

this is your answer hope it's helpful for you