if PQ and PR are tangent to circle S,find PQ

Given:

The equation is

[tex]y=x^2+2x+3[/tex]

To find:

The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].

Solution:

We have,

[tex]y=x^2+2x+3[/tex]

It can be written as

[tex]y=(x^2+2x)+3[/tex]

Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].

[tex]y=(x^2+2x+1)-1+3[/tex]

[tex]y=(x^2+2(x)(1)+1^2)+2[/tex]

[tex]y=(x+1)^2+2[/tex]                   [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].

Answer:

2.59

Step-by-step explanation:

Divide $54.39 by 21.

Answer:

Step-by-step explanation:

Given that

Find the price per gallon.

21/1 = 54.39/price

price = 54.39/21

price per gallon = $2.59 (two Dollars and fifty nine cents)

____________________

#IndonesianPride - kexcvi

Answer:

What???

Step-by-step explanation:

Cant see it?????

[tex](4x^2)+99-4x(16x)\\=4x^2+99-64x^2\\=-60x^2+99[/tex]

Is this what you want???

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}}} : [/tex]

~Set up an equation and solve for x :

→ [tex] \large{ \tt{10x + 45 \degree = 75 \degree + 70 \degree}}[/tex] [ Exterior angle is always equal to the sum of two non-adjacent interior angles ]

Add the numbers : 75° & 70°

→ [tex] \large{ \tt{10x + 45 \degree = 145 \degree}}[/tex]

Since we want to get rid of the constant in the left hand side , subtract 45 from both sides :

→ [tex] \large{ \tt{10x + 45 \degree - 45 \degree= 145 \degree - 45 \degree}}[/tex]

→ [tex] \large{ \tt{10x \: \cancel{ + 45 \degree} \: \cancel{ - 45 \degree} = 100 \degree}}[/tex]

→ [tex] \large{ \tt{10x = 100 \degree}}[/tex]

~Divide both sides by 10

→ [tex] \large{ \tt{ \frac{10x}{10} = \frac{100}{10}}} \degree[/tex]

→ [tex] \large{ \tt{x = 10 \degree}}[/tex]

⟿ [tex] \boxed{ \boxed{ \large{ \text{Our \: Final \: Answer} : \underline{ \bold{ \tt{x = 10 \degree}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

☄Let me know if you have any questions regarding my answer !

♪ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎

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Answer:

48 Feet (ft) 16.000 Yards (yd)

1 ft = 0.333333 yd 1 yd = 3.000000 ft

Step-by-step explanation:

Step-by-step explanation:

[tex]tan = \frac{opposite}{adjacent} [/tex]

tan(tetha) = DC/1 ( here 1 bc as they said, an arc circe w/ radius (OB) 1

Answer: 305 people

Step-by-step explanation:

The total number of people sampled is:

= 71 + 22 + 27 + 83

= 209

Out of this 209, the number of people who prefer Vanilla and cookie dough ice cream is:

= 71 + 27

= 98 people

In a sample of 209 people, 98 people would prefer either vanilla or cookie dough. In 650 people, that number would therefore be:

= 98/ 209 * 650

= 305 people

Answer: First secutitys at my school dont even have nothing but a walkie talkies in there hands but I will say this we have cops walking around inside of our school and there all armed up because obvisouly their cops so i would think not security should not have a fire arm because what happens if a old lady a securrityguard she cant move fast so I think not they would have to deal it with by hand and there walkie talkies.

Step-by-step explanation:

Answer:no because they might be part of a crime and shoot up the school like boom bang bin bot pow and 500 people drop dead like me in the bed room.

Step-by-step explanation:

Answer:

OKW similar to triangle OJP using Angle Angle

Step-by-step explanation:

Given

See attachment for triangles

Required

Prove their similarity

From the attachmen:

[tex]\angle JPO = \angle OWK = 90[/tex]

Also:

[tex]\angle O = \angle O[/tex] for both triangles i.e. reflexive property

Hence:

OKW similar to triangle OJP by AA i.e. Angle Angle

Answer:

ans 7

Step-by-step explanation:

given

10_i=3

10_i_3=0

7=i

i=7

Answer:

Each sandwich costs 4$.

Step-by-step explanation:

To find the answer we will divide 72$ by 18 and we get 4$.

The number of sandwiches and the total price of sandwiches are directly proportional.

Cost of 18 sandwiches = $72

Cost of 1 sandwich = $72/18

= $4

Hence the cost of 1 sandwich is $4.

Answer:

First rememeber that if we have a function like:

g(x) = x^n

then:

dg(x)/dx = g'(x) = n*x^(n - 1)

And also if we have:

g(x) = f(x) + h(x)

then:

dg(x)/dx = g'(x) = f'(x) + h'(x)

1) We have the function f(x) = (x + 1)^2

We can rewrite this as:

f(x) = x^2 + 2*x + 1

Using both things written above, we know that:

f'(x) = 2*x + 1*2 = 2*x + 2

And we want to find f'(-2), so we only need to evaluate the above function in x = -2, this is:

f'(-2) = 2*-2 + 2 = -4 + 2 = -2

f'(-2) = -2

b) I suppose that this refers to the inverse function of f(x)

An inverse function is such that:

g( f(x)) = x

f( g(x)) = x

For f(x) = (x + 1)^2

The inverse will be something that first cancels that square, and then subtracts 1.

Then:

g(x) = √x - 1

if we evaluate this in f(x) we get:

g( f(x)) = √(f(x)) - 1 = √(x + 1)^2 - 1 = (x + 1) - 1 = x

Then the inverse function of f(x) is:

g(x) = √x - 1

This can also be written as:

g(x) = x^(1/2) - 1

Then the derivative of this will be:

g'(x) = (1/2)*x^(1/2 - 1) = (1/2)*x^(-1/2) = (1/2)*(1/√x)

Answer:

tan ∅ = 15/8

Step-by-step explanation:

tan ∅ = 15/8

Step-by-step explanation:

Simplify the equation to find the value of a.

Subtract 4a from both sides:

[tex] - 3a - 15 = - 3[/tex]

Add 15 to both sides:

[tex] - 3a = 12[/tex]

Divide each side by -3:

[tex]a = - 4[/tex]

Here's link to the answer:

tinyurl.com/wpazsebu

Answer:

589

Step-by-step explanation:

Answer:

the answer i think is 103 centimeters

Step-by-step explanation:

Answer:

C = n + 25

Step-by-step explanation:

The total amount of money is C, so the equation has to equal C. n is the cost per visit and then you add the fixed fee in which I chose 25

Answer:

78

Step-by-step explanation:

im not sure but i think is 78

60+18=78

sorry

Answer:

13.6

Step-by-step explanation:

[tex]a^2+b^2=c^2\\4^2+13^2=c^2\\16+169=c^2\\c^2=185\\\sqrt{c^2} =\sqrt{185} \\c=13.6[/tex]

The statement made which says the tangent - chord angle is twice the measure of the intercepted arc inside the angle is FALSE.

Therefore, the statement is False because the intercepted arc is twice the measure of the angle formed by the intersection of the chord and the tangent on the circle.

Learn more :https://brainly.com/question/4322607

Answer:

This is False

Step-by-step explanation:

Answer:

-3x = 7 .  

Step-by-step explanation:

-3x - 6 - 1 =

-3x - 7

Hope that helps!

Answer:

-3x-7

Step-by-step explanation:

Combine like terms

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

A= 615.44

Step-by-step explanation:

A=πr²

A=π14²

A=196(3.14)

A= 615.44

Answer: The slope of the line is 12 and One point on the line is (4,5)

Step-by-step explanation: Point-slope form is written like this: Given a point (a, b) on a line and m being slope , y-b = m(x-a)

Answer:

113.04

π×6^2 is the solution of this

Answer:

area = 113.1 m²

Step-by-step explanation:

area = PiR²

area = (Pi)(6²) = 113.1 m²

Answer:

n = - 6

Step-by-step explanation:

Given

- 6n - 5 = 31 ( add 5 to both sides )

- 6n = 36 ( divide both sides by - 6 )

n = - 6

Answer:

n= -6

Step-by-step explanation:

-6n=31+5

-6n=36

n=36÷-6

n= -6