Write the inequality given in the diagram below

Area of the rectangle

Area of trapezoid

Total

To solve this problem, we need to factor both

 ⇒ numerator: [tex]x^2-4x+4[/tex]

 ⇒ denominator: [tex]x^2-4[/tex]

Let's factor:

 ⇒ [tex]x^2-4x+4=(x-2)(x-2)\\[/tex]

 ⇒ [tex]x^2-4=(x+2)(x-2)[/tex]

Let's put it back into the fraction:

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

Answer: Choice (3) or [tex]\frac{x-2}{x+2}[/tex]

Answer:

[tex]\frac{x-2}{x+2}[/tex]

Step-by-step explanation:

First, let's factor out the fraction into [tex]\frac{(x-2)^2}{(x+2)(x-2)}[/tex], now we can cancel out the [tex]x-2[/tex]. After we do that, our final answer is [tex]\frac{x-2}{x+2}[/tex].

Hope this helps! :)

Answer:

0.0833

Step-by-step explanation:

1 out of 12 can be written as a fraction 1/12

Now we convert the fraction to a decimal with division. Using long division the 12 goes outside the division symbol and 1 on the side. 12 doesn't go into 1 so we add a decimal to the answer and a 0 after the 1. 12 doesn't go into 10 so we add another 0. 12 goes into 100 8 times. 8 goes on top after 0.08 and then we finish the long division. We would have 4 remaining. Add another 0. 12 goes into 40 3 times. This is then where the division becomes repetitive. With more threes. Depending on where youryou're supposed to Round to the answer is 0.0833

35° + 60° + x° = 180°

95° + x° = 180°

x° = 180° - 95°

x° = 85°

In any triangle, the sum of its interior angles measures 180º.

Answer: The 4th option= -1, -3

Step-by-step explanation: Here, if y = -1 and x = -3. The equation would be: (-1) + (-3)= -1 -3 = -4

Now we know that -4 is greater than -5.

Some may think that -4 is smaller than -5 nut remember that the numbers are in minus form, so if u put them in a number line, then -4 is greater than -5.

Thanks.

Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2

(h, k) = center of the circle

r = radius of the circle

Center = (2, 0)

Radius = 7

Equation: (x - 2)^2 + (y - 0)^2 = 49

Answer: (x - 2)^2 + y^2 = 49

Hope this helps!

Answer:

hy the answer is C. a car maintained constant speed

Answer:

c.A car maintained constant speed

Step-by-step explanation:

according to the graph,velociry is always in a straight line over time.

so the velocity is constant

so A car maintaned constant speed

Answer:

6.28

Step-by-step explanation:

2×3.14 because this is just simple multiple

Answer:

9c² -30c + 25

Step-by-step explanation:

Perfect square trinomial: (a - b)² = a² - 2ab + b²

(3c - 5)²

(3c)² -2(3c * 5) + 5²

9c² -2(15c) + 5²

9c² -30c + 25

Final answer: 9c² -30c + 25

Hope this helps!

Hi!

Given:

[tex](3c-5)^2[/tex]

As this is squared, we are simply multiplying the given expression by itself, like so:

[tex](3c-5)(3c-5)[/tex]

Now, we can use the Distributive Property to solve, using the FOIL Method:

[tex](3c-5)(3c-5)[/tex]

[tex]9c^2-15c-15c+25[/tex]

Combine like terms:

[tex]9c^2-30c+25[/tex]

For a similar problem, see:

https://brainly.com/question/15639394

Answer:

9% sry if im wrong

Step-by-step explanation:

Kayla has some colored marbles that are the same size and shape. Use

the information below to determine which is closest to the probability

that Kayla will randomly select a marble that is not red, replace it, then

randomly select a marble that is yellow?

The probability of randomly selecting a red marble is 30%.

The probability of randomly selecting a yellow marble is 13%

Answer:

Hence, a fair dice has a probability of 16 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 16

Step-by-step explanation:

Answer:

3 hours and 30 minutes

Step-by-step explanation:

8:15+3=11:15

11:15+30=11:45

Answer:

15 hr 30 min

Step-by-step explanation:

8:15 - 9 am = 45 min

9 am to 11 pm = 14 hours

11pm - 11:45 pm = 45 min

90 min = 1 hr 30 min

14 hr + 1 hr 30 min = 15 hr 30 min

Step-by-step explanation:

Susan message=34.66

Frank message=27.6

Dan message=28

The length side of equilateral triangle is 8.08 units

The altitude or height of an equilateral triangle is the line segment from a vertex that is perpendicular to the opposite side.

Here, let the side of the equilateral triangle be x units

given altitude of the equilateral triangle = 7 units

we know,  

Altitude = √3/2 X side

   7 = √3/2 X x

   x = 7 X 2 / √3

   x = 14/√3

   x = 8.08 units

Thus, the length side of equilateral triangle is 8.08 units.

Learn more about Altitude from:

https://brainly.com/question/18530806

#SPJ1

Answer:

The time spent by a physician with a patient

Step-by-step explanation:

Option C is the answer

Answer:

644 cm^2

Step-by-step explanation:

20*5*2 = 200

6*5*2 = 60

20*6 = 120

6*8 = 48

12*4*2 = 96

6*4*2 = 48

12*6 = 72

Correct option is C) A² - B² + BA – AB

Step-by-step explanation:

(A+B)(A−B)=A(A−B)+B(A−B).........because matrix product is distributive.

=A² + BA - AB - B²

And as matrix product is not commutative, so AB¦=¦BA

Hence option C is correct.

Answer:

h = 14.4

Step-by-step explanation:

4h=57.6

Divide each side by 4

4h/4 = 57.6/4

h = 14.4

Answer:

See explanation

Step-by-step explanation:

Always divide the constant by itself and the value it equals.

1) Divide both sides by 4.

[tex]h=\frac{57.6}{4}[/tex]

2) Simplify [tex]\frac{57.6}{4}[/tex] to [tex]14.4[/tex].

h = 14.4

To check our answer,

4h = 57.6

1) Let h = 14.4

4 * 14.4 = 57.6

2) Simplify 4 × 14.4 to 57.6.

57.6 = 57.6

d. 32.6°

explanation:

tan(×)= 0.6396

tan(x)= 0.6396/1000

tan(×)= 1599/2500

(×)= arctan (1599/2500)

(×)≈ 0.569029 or 32.6°

Answer:

Price of senior citizen ticket = $7

Price of student ticket = $5

Step-by-step explanation:

Let:

Equations formed :

Subtract : Equation 1 - Equation 2

Finding b

Solution

Answer:

Senior tickets would be 7 dollars

and

Student ticket prices would be 5 dollars

Step-by-step explanation:

Step-by-step explanation:

THREE SOLUTION TO PROVE ITS FALSE

1:2

Multiply by 3 on each side

1*3 : 2*3 = 3:6

This is not the same as 6:3

3 apple:6 bananas is not the same as 6 apples: 3 bananas

1:2 is equivalent to 6:12 not 6:3

because 1x6=6 2×6=12 =6:12

3)

however when we solve mathematically

1/2=6/3

1/2=2

The sides are not equa so its false

Answer:

AAS

Step-by-step explanation:

the ansewer

Answer:

6.86cm^3

Step-by-step explanation:

In order to do this problem you must first find the volume of the cube and subtract the volume of the sphere within it.

Volume of a cube is S^3

using the given 3×3×3= 27cm^3 volume of cube

volume of a sphere is 4/3 pir^3

4/3 × pi x 1.5^3 = 14.14cm^3 volume of sphere

now simply subtract

27-14.14= 6.86 cm^3

Answer:

-9x + 4y

Step-by-step explanation:

Adding expressions:

     Like terms have same variable with same power.Combine like terms.

Here, x and (-10x) are like terms &

         (-2y) and 6y are like terms

x - 2y + (-10x + 6y) = x - 2y - 10x + 6y

                              = x - 10x - 2y + 6y

                               = -9x + 4y

Answer:

I would say 6m because i measured the side that is labeled 6m, and DE is also 6m.

( I hope I'm right ^^)

( I hope this helps ^^)

Answer:

2 and a half pizzas were eaten

Step-by-step explanation:

3 pizzas divided into 8 slices is equal to 24 slices.  So if 20 slices were eaten, we can do simple math to solve this

There are two ways to do this:

A. divide 20 by 8 to get 2.5

B. subtract a pizza (8 slices) from 20 to get 12. Subtract another pizza (8 more slices) to get 4. The 4 slices left are equal to another half pizza. So in total, there were 2.5 pizzas eaten