What is the line that goes through (2,3) and is perpendicular to the line y = -2x + 9?
ASAP :)

The function is a quadratic function, and the standard form of a quadratic function is ax^2 + bx + c

The standard form of the function [tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex] is [tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]

The function is given as:

[tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex]

Factor out (x - 2)^2

[tex]\mathbf{f(x) = (x - 2)(x - 2) - 3}[/tex]

Expand the expression

[tex]\mathbf{f(x) = x^2 - 2x -2x + 4 - 3}[/tex]

Simplify the like terms i.e. add -2x and -2x

[tex]\mathbf{f(x) = x^2 - 4x + 4 - 3}[/tex]

Simplify the like terms i.e. add 4 and -3

[tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]

Hence, the standard form of the function [tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex] is [tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]

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Answer:

the one above is all right except its a positive 4x, the question was

f(x) = (x + 2)2 - 3

not

f(x) = (x - 2)2 - 3

the real answer is: f(x) = x^2+4x+1

Answer:

It's 6

p=6

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

23*2=46

23+46=69

[tex]x+2x = 3x \\\\\text{when x =23,}~ ~3x = 3(23) =69[/tex]

Answer:

49/4 inches

Step-by-step explanation:

Inches below ground=  3 1/2 inches

Plant's full  height=15 3/4 inches

Height above ground = 15 3/4 inches -3 1/2 inches

63/4 - 7/2

63-14/4

49/4 inches

Answer:

[tex]12^1/_4[/tex] [tex]inches[/tex]

Step-by-step explanation:

We can make this an equation

[tex]-3 ^1/_{2}+15^3/_4[/tex]

We can make them the same denominator by looking for the GCF which we get as 2

Now we have

[tex]-3 ^2/_{4}+15^3/_4[/tex]

Do the equation and we get

[tex]12 ^1/_4[/tex] [tex]inches[/tex] as our answer

Answer:

6

Step-by-step explanation:

is    %

of   100

24  40

x    100

2400/40 equals 60

60 divided by 10 equals 6

Answer:

Step-by-step explanation: it’s 41%

Answer:

IM fINNA GUESS B

Step-by-step explanation:

Answer:

A: Yes, I agree. Why? Because if you look at the shape, its a triangle right, and a triangle both sides are equal, while the bottom line is not. But because both sides are equal, and half of the triangle is MPN and the other side is QPN, they both are congruent (or equal to)

B: Like I said, both MPN and QPN are both equal, and if you remove the P, it would still be the same because the shape has not changed.

I hope I helped :)

Answer:

The 1st

Domain is (1,-3)

The second

Domain is (R)

The 3rd

Domain = (R)

The 4th

Domain =(-1,+infinity )

Respectively

Answer:

13

Step-by-step explanation:

b2-12a

2(8)-12(1/4)

16-12/4

16-3

13

Step-by-step explanation and answer:

To understand this problem, you must first understand the definition of domain and range. Domain is all possible x values (possible input), and range is all possible y values (possible output). Based on this, we can now sort the terms as the following:

Domain

Range

Hope this helps!!

Does this represent a function?

: Determine whether a relation represents a function.

:Find the value of a function.

: Determine whether a function is one to one.

:Use the vertical line test to identify functions.

:Graph the functions listed in the library functions.

No

Answer: Binomial

Monomial= 1 term

Binomial= 2 terms

Trinomial=3 terms

Polynomial= 4 terms or more

10)100000(10000

10

___

××0000

Answer:

5000

Step-by-step explanation:

1 score = 20

10 scores

= 10 x 20

= 200

100,000 / 10 scores

= 100,000 / 200

= 5000

Step-by-step explanation:

so if I did it wrong

Answer:

N=48

Step-by-step explanation:

2^9+2^4+48=576

576 is a perfect square

The least value of N that makes [tex]2^9 + 2^4 + N[/tex] a perfect square is 48

The number is given as:

[tex]2^9 + 2^4 + N[/tex]

Evaluate the exponents

[tex]2^9 + 2^4 + N = 512 + 16 + N[/tex]

Add 512 and 16

[tex]2^9 + 2^4 + N = 528 + N[/tex]

The above equation means that:

So, the smallest value of the equation is 576.

The equation becomes

[tex]528 + N = 576[/tex]

Subtract 528 from both sides

[tex]N = 576 - 528[/tex]

[tex]N = 48[/tex]

Hence, the least value of N is 48

Read more about perfect squares at:

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Answer:

4a+24

Step-by-step explanation:

a+6+a+6+a+6+a+6 collect the like terms with a and 6

4a+24

Answer:

4a-24

Step-by-step explanation:

its a square. all sides r equal so add everything or multiply by the number of sides. 4(a-6) or (a-6)+(a-6)+(a-6)+(a-6)

Answer:

Slope = -3/2

Step-by-step explanation:

[tex]Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}[/tex]

[tex]Slope = \frac{-12}{8}\\\\\\Slope = \frac{-3}{2}\\\\[/tex]

-Chetan K

Answer:

Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.

Step-by-step explanation:

An example is attached! The purple-ish on the right would be your solution set.

Answer:

Step-by-step explanation:

LET:

∠XYW=Y

X,Y and W are the angles of triangle so:

X + Y + W=180

3x+11+Y+5x+1=180

Y=180-12-8x

Y=168-8x

Now ∠XYW and ∠XYZ are the angles of a straight line:

∠XYW+∠XYZ=180

168-8x+12x-20=180

4x+148=180

4x=180-148

4x=32

x=32/4

x=8

Now substitute value of x in Y:

∠(12x-20)=12(8)-20

∠Y=76

You traveled up the river at 56 feet a minute and down the river at 47 feet a minute.

The question is asking us to simply convert the speed traveled in feet per second to feet per minute. To do that, we say,

28 feet in 30 seconds, if we multiply both by two. We have 56 feet in 60 seconds. Also remember that 60 seconds make 1 minute. Thus, you must have kayaked up the river at 56 feet in a minute.

423 feet in 9 minutes, if we divide both by nine. We have 47 feet in a minute. This means that you kayaked 47 feet a minute down the river.

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Answer:

31.4 inches

Step-by-step explanation:

c = 2 * 3.14 * r

c = 2 * 3.14 * 5

C = 31.4 inches

Answer:

Polly has to pay $0.24 per yard of fabric.

Step-by-step explanation:

You simply have to divide the 6.8 yards by the $28.90 cost. The result is $0.235294118 dollars per yard, but since you can't have only half a cent, we will round it to the nearest hundredths and get $0.24 dollars.

Answer:

2

Step-by-step explanation:

Answer:

m

Step-by-step explanation:

The angle between sides GM and MT is ∠M.

The 2 sides that include ∠T are MT and GT.

The angle between sides GT and MG is ∠G.

There's not much to say about this, but I can answer questions if you have any.

Answer:

Slope is represented by the letter M and the y-intercept is represented by the letter B and is where the graph intersects the y axis.

Step-by-step explanation:

y = mx+b, where y and x are variables and m is the slope and b is the y-intercept

Hope that helps

Answer:

add

Step-by-step explanation:

Answer:

When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.

Step-by-step explanation:

Answer:

The answer is 144 feet and it will be in the air for 6 sec

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

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