what is the greatest common factor of the number and denominator of the rational expression below?

Answer:

Is E

explanation:

Answer:

4x+2

Step-by-step explanation:

(5x+4)-(x+2)=(5-1)*x+(4-2)=4x+2

Answer:

10

Step-by-step explanation:

(85^4 - 75^4)/(85^3 + 85*75^2 + 75*85^2 + 75^3)=10

Answer:

first we have to solve for x in order to find the value of y

2x+8=5x+14

5x-2x=14-8

3x=6

x=2

placing the x value in these two equation to find the value of y

y=2(2)+8

y=12

y=5(2)+14

y=24

now those are the two values of y

hope it's helpful

thank you !

Answer:

f^(-1) (x) = -(x+4)/7

Step-by-step explanation:

f(x) = - 7x-4

f(x)+4=-7x

x=-(f(x)+4)/7

f^(-1) (x) = -(x+4)/7

Option A

Must click thanks and mark brainliest

Sorry if i am wrong

Explanation:

Perimeter of the park

= 337 m

= 33700 cm

Length of each fence panel

= 550 cm

Number of fence panel required

= Perimeter of the park/Length of each fence panel

= 33700 cm/550 cm

= 33700/550

= 3370/55

= 674/11

= 61 3/11

So, we will need 61 3/11 fence panels.

P.S. — 61 3/11 means 61 whole and 3/11. I have attached its picture, so that you understand.

Answer:

Diana sold 25 tickets and Dulce sold 30 tickets

Step-by-step explanation:

Let us assume that Diana sold x number of tickets, dulce sold 20% more x or 1.2x. ATQ, x+1.2x=55. x=25. So Diana sold 25 tickets and Dulce sold 30 tickets

Answer:

Below

Step-by-step explanation:

Volume = area of the circular side * length

Radius of circle = 10

V  = pi r^2 l = pi *10^2 * 6

= 100 pi

= 1884 in^2

Answer:

B. 2 3/5

Step-by-step explanation:

how i would solve this expression is start out by converting "4 1/3" into an improper fraction.

4 1/3 is equivalent to 13/3

next to find out how much water melissa used we have to multiply 3/5 by our improper fraction giving us this expression:

13/3 x 3/5

solving a fraction is simple, multiply the numerator by numerator,

and denominator by denominator.

so, we will end up with

39/15 or simplified to 2 3/5

hope this helps :D

Answer:  True

Explanation:

Consider a 3D cardboard box that you can unfold. It would unfold into a 2D net that you can then re-fold back into its 3D form. The 2D net is useful to help visualize and calculate the surface area. The surface area is simply the total area of all the external faces.

Answer:

126 was removed.

Step-by-step explanation:

The total before division took place was

Total = mean * 14

mean = 49

Total = 49 * 14

Total = 685

Now you subtract x from the total

685 - x

And divide by 13 [one number is missing]

(685 - x)/13

and the result = 43

(685 - x ) / 13 = 43                Multiply both sides by 13

685 - x  = 43 * 13

685 - x = 559                       Subtract 685 from both sides

- x = - 126                             Multiply by - 1

x = 126

Answer: 122 square feet

Explanation:

The larger rectangle has area of 14*15 = 210 square feet.

The smaller rectangle has a horizontal dimension of 15-4 = 11 ft and its vertical dimension is 14-6 = 8 ft. Therefore, the area is 11*8 = 88 square feet.

The non-shaded region has area that is the difference of the two previous areas calculated earlier. So that would be 210-88 = 122 square feet

Answer:

See explanation and hopefully it answers your question.

Basically because the expression has a hole at x=3.

Step-by-step explanation:

Let h(x)=( x^2-k ) / ( hx-15 )

This function, h, has a hole in the curve at hx-15=0 if it also makes the numerator 0 for the same x value.

Solving for x in that equation:

Adding 15 on both sides:

hx=15

Dividing both sides by h:

x=15/h

For it be a hole, you also must have the numerator is zero at x=15/h.

x^2-k=0 at x=15/h gives:

(15/h)^2-k=0

225/h^2-k=0

k=225/h^2

So if we wanted to evaluate the following limit:

Lim x->15/h ( x^2-k ) / ( hx-15 )

Or

Lim x->15/h ( x^2-(225/h^2) ) / ( hx-15 ) you couldn't use direct substitution because of the hole at x=15/h.

We were ask to evaluate

Lim x->3 ( x^2-k ) / ( hx-15 )

Comparing the two limits h=5 and k=225/h^2=225/25=9.

Answer:

Step-by-step explanation:

8*1750=14000

Amount=14000+20000

=34000

Answer:

Answer:

= (y-1) (xy-z)

Step-by-step explanation:

First we expand them -

= xy^2 - xy - yz - z

= xy(y-1)-z(y-1)

= (y-1) (xy-z)

Hope this helped

Answer:

4f^2 +4

Step-by-step explanation:

4 + 4f^2 + 6f - 6f

Combine like terms

4f^2 +4

Answer:

Area equals to 3615.7

Step-by-step explanation:

So first in order to get the area of the triangle you need to have it’s height and base. We know the base is 150m(you can choose another base too), and we need to get the height.

In order to get the height we can see the triangle as two right triangle spreaded by the height. Now looking at the right triangle at the left hand, realized this triangle has a 40, a 90 degree angle and a side of 75.

Next using the law of sines, and plot the numbers in:

a = b(sinα/sinβ)=75(sin(40°)/sin(90°))≈48.20907

Now calculat the area;

Area = 1/2 bh = 1/2 (150x48.20907) ≈ 3615.6765

I attached a graph below that may help to see will all the things go

Scale = 1cm:3km

Therefore area of lake = 81Km

1:3 = x:81

= 27:81

Therefore the area on map is 27cm

Must click thanks and mark brainliest

Answer:

121.5 is answer.

Step-by-step explanation:

Answer: Square roots are the numbers that, when multiplied by themselves, equal the number under the square root sign. For instance, sqrt(9) equals 3, since 3*3 equals 9. You should memorize the values of square roots, at least up through 100. Once you do that, you will easily be able to determine which perfect square, and subsequently, which square root, is between two integers.

Answer:

The other answer is correct.  

Step-by-step explanation:

Answer:

AED 972

Step-by-step explanation:

Area of the wall = 9² = 81 m²

each m² costs AED 12

so 81 m² will cost 12×81 = AED 972

Answer:

See image

Isosceles triangles have 2 congruent base angles

Answer:

13km

Step-by-step explanation:

Distance, x = √(12² + 5²)

= 13

Answer:

x=50

y=75

Step-by-step explanation:

The explanation is in the picture!

Answer:

slope= -1  1/6

Step-by-step explanation:

x1 y1  x2 y2

-2 5  4 -2

(Y2-Y1) (-2)-(5)=   -7  ΔY -7

(X2-X1) (4)-(-2)=    6  ΔX 6

slope= -1  1/6    

B= 2  2/3    

Answer:

The height of the parallelogram is 12 cm.

Step-by-step explanation:

We are given that a triangle and a parallelogram have the same base and same area.

The sides of the triangle measure 26 cm, 28 cm, and 30 cm.

We are given that the base of the parallelogram is 28 cm, and we want to determine its height.

Find the area of the triangle. Since we are given the three sides, we can consider using Heron's Formula:

[tex]\displaystyle A = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where a, b, and c are the sides and s is half of the perimeter.

The perimeter is:

[tex]P = (26) + (28) + (30) = 84[/tex]

Hence, s = 42.

Then the area of the triangle is:

[tex]\displaystyle \begin{aligned} A&= \sqrt{42(42-26)(42-28)(42-30)} \\ &= \sqrt{112896} \\ &= 336\text{ cm}^2 \end{aligned}[/tex]

The area of a parallelogram is given by:

[tex]\displaystyle A = bh[/tex]

We are given that the base is 28 cm:

[tex]\displaystyle A = 28 h[/tex]

Its area is equivalent to the area of the given triangle. Hence:

[tex]\displaystyle 336 = 28h[/tex]

Divide:

[tex]\displaystyle h = \frac{336}{28} = 12\text{ cm}[/tex]

In conclusion, the height of the parallelogram is 12 cm.

Answer:

Step-by-step explanation:

Answer:

4y

Step-by-step explanation:

y+y+y+y

= (1+1+1+1) y

= 4y

Answer:

4y

Step-by-step explanation:

Y+y+y+y

Combine like terms

4y

Answer:

The two solutions are

(0,-4) and (-1,-6)

Step-by-step explanation:

The ys have to be equal so you can equate the right hand side.

x^2 + 3x - 4 = 2x - 4         Add 4 to both sides

x^2 + 3x = 2x                    Subtract 2x from both sides

x^2 + 3x - 2x = 0              Combine

x^2 + x = 0                       Factor

x(x + 1) =0

Just to show you that these two points really are the solutions, you can see the graph below

x has 2 values

x + 1 = 0

x = - 1

or

x = 0

Now solve for y

y = 2x - 4

Let x = 0

y = - 4

Let x = - 1

y = 2x - 4

y = -2 - 4

y = - 6

The blue is y = x^2 + 3x - 4

The green line is y = 2x - 4