Find the perimeter. Simplify the answer

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:

He earns $540

70% of his money went to savings

Step-by-step explanation:

9 weeks x 5 days a week = 45 days

45 days x $12 a day = $540

378 * 100 / 540 =  (378*100) / 540 =  37800/540 = %70

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The special right triangle is the right triangle that have acute angle values

that simplify the process of finding its dimensions.

The correct values are;

1. The angle the ladder makes with the ground, is approximately 66.93°

2. The length of YZ is approximately 19.18 ft.

3. CB = 7 ft. and AB = 7·√3 ft.

Reasons:

1. The length of the ladder = 15 ft.

Height of the ladder above the ground, h = 13.8 ft.

Required:

The angle the ladder makes with the ground.

Solution:

The angle the ladder makes with the ground is given by the equation;

[tex]sin(\theta) = \dfrac{Length \ of \ the \ ladder}{Height\ of \ the \ ladder \ above the \ ground} = \dfrac{13.8}{15} = 0.92[/tex]

[tex]\theta = arcsin\left(0.92 \right) \approx 66.93^{\circ}[/tex]

2. The given parameters are;

XY = 11

∠Z = 35°

YZ = Required

In a right triangle, the side facing the acute angle is a leg of the triangle.

Therefore;

XY is the opposite side to ∠Z

[tex]sin(\angle Z) = \dfrac{XY}{YZ}[/tex]

Which gives;

[tex]sin(35^{\circ}) = \dfrac{11}{YZ}[/tex]

[tex]YZ= \dfrac{11}{sin(35^{\circ}) } \approx 19.18[/tex]

YZ ≈ 19.18 ft.

3. AC = 14 ft.

∠A = 30

Required:

The length of the other two sides

Solution:

Where by AC is the hypotenuse side, we have;

CB = AC × sin(∠A)

Therefore;

CB = 14 × sin(30°) = 7

CB = 7 ft.

AB =  AC × cos(∠A) = 14 × cos(30°) = 7·√3

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1. The angle the ladder makes with the ground, is approximately 66.93°

2. The length of YZ is approximately 19.18 ft.

3. CB = 7 ft. and AB = 7·√3 ft.

Answer:

Roopa: 10

Amita: 14

Step-by-step explanation:

5x+7x=24

12x=24

x=2

5x=10

7x=14

Answer:

Step-by-step explanation:

5/7*24

=5/7*24

=17.14 apples

Answer:

m

Step-by-step explanation:

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:

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:

13

Step-by-step explanation:

b2-12a

2(8)-12(1/4)

16-12/4

16-3

13

Answer:

2.5 s. d.

Step-by-step explanation:

Use the formula for calculating z scores:

      26 - 16

z = ------------- = 10/4 = 2.5

           4

Here the value 26 is 2.5 standard deviations above the mean (16).

Answer:

OMG️️

Step-by-step explanation:

What is this❓

what have you wrote✍️

Answer:

hye nice what have written tell then I will answer you.

Answer:

36.90

Step-by-step explanation:

Answer:

I believe that its C, but don't get mad at me if I get it wrong

Answer:

the answer is 5,746 = c

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:

x / 3 = -8

Step-by-step explanation:

Answer:

31.4 inches

Step-by-step explanation:

c = 2 * 3.14 * r

c = 2 * 3.14 * 5

C = 31.4 inches

Answer:

It's 6

p=6

Step-by-step explanation:

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:

45*x-10

Step-by-step explanation:

10 less than a number would give you

x - 10

and the product of a number means your multiplying and your multiplying 45 so you would get

45*x

add them together and you get

45*x-10

Answer:

6

Step-by-step explanation:

is    %

of   100

24  40

x    100

2400/40 equals 60

60 divided by 10 equals 6

ATQ

[tex]\\ \sf\longmapsto m+m+4+m+6=37[/tex]

[tex]\\ \sf\longmapsto 3m+10=37[/tex]

[tex]\\ \sf\longmapsto 3m=27[/tex]

[tex]\\ \sf\longmapsto m=9[/tex]

Answer:

The 1st

Domain is (1,-3)

The second

Domain is (R)

The 3rd

Domain = (R)

The 4th

Domain =(-1,+infinity )

Respectively

Answer: 8:05

Step-by-step explanation:

Answer: 8:05

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

The arithmetic mean of the numbers - 16, - 9 and 4 is,

⇒ - 7

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Numbers are,

⇒ - 16, - 9 and 4

Now, We can formulate;

The arithmetic mean of the numbers - 16, - 9 and 4 is,

⇒ (- 16 + (- 9) + 4 ) / 3

⇒ (- 16 - 9 + 4) / 3

⇒ - 21 / 3

⇒ - 7

Thus, The arithmetic mean of the numbers - 16, - 9 and 4 is,

⇒ - 7

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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:

x - 2y = 0

Step-by-step explanation:

The two lines have the same slope because they are parallel, and their equations have the same form as x-2y+3=0​, with only the constant (3) being different.  Solving this equation for y to find the slope, we get:

x + 3 = 2y, or y = (1/2)x + 3/2.  The line passing through (0, 0) with the same slope must then be y = (1/2)x; this line represents a proportional relationship because y is a constant multiple of x with the constant of proportionality 1/2.  This result may be rewritten as 2y = x or x - 2y = 0.