(3x+8) (4x+10) what is the length

Answer:

Step-by-step explanation:

If you want to know what you have to multiply by 5 to get a product of 70, you would divide 70 by 5 to get that other number. Because 70 divided by 5 is 14, you know that the other number is 14. It's the same when you have one factor of a polynomial and want to know the other. You divide your polynomial by the one factor to get to the other factor, because when you multiply them together, you get back the polynomial you started with. Like when we found that 70 / 5 = 14, we know that when we multiply 14 by 5 we'll get the 70 we started with.

Long division of polynomials will be difficult to illustrate within this forum, but I'll do my best. What we want to do is divide [tex]6x^2+x-15[/tex] by 2x - 3:

          __________

2x - 3 | [tex]6x^2+x-15[/tex]

First divide the 6 x-squared by the 2x (forget about the rest of what's inside the box for now, and also forget about the -3 for now. We'll deal with them later).  2x goes into 6 x-squared 3x times, because 2x * 3x = 6x-squared, right? So the 3x goes above the 6x-squared:

           3x_______

2x - 3 | [tex]6x^2+x-15[/tex]

Now we multiply the 3x by the 2x and put that product under the 6x-squared. The product is 6x-squared (which will always be the case in division that they will subtract each other away. That's why we do this!)Then multiply the 3x by the -3 which is -9 and put that under the "+x" term:

           3x________

2x - 3 | [tex]6x^2+x-15[/tex]

           6x^2-9x        

At this point we change the signs and have

            3x                

2x - 3   | 6x^2 + x - 15

          -  6x^2 +9x

And then we add and bring down the -15:

           3x                  

2x - 3 | 6x^2  + x - 15

         - 6x^2 + 9x

                       10x - 15

Now do the division process again, this time dividing 10x by 2x (again the -3 will wait). 10x divided by 2x is 5 (because 2x * 5 = 10x, right?). The 5 goes above the +x on top:

           3x    +   5      

2x - 3 | 6x^2 +  x - 15

        -  6x^2 + 9x

                       10x - 15

Now we wwill multiply the 5 by both the 2x and the -3 and subtract:

           3x     +  5    

2x - 3 | 6x^2 +  x - 15

         - 6x^2 + 9x

                       10x - 15

                     - 10x + 15

Notice that when we subtracted, the 10x changed from + to -, and the -15 changed to a positive. The remainder is 0.

That tells us that the other factor of the polynomial is 3x + 5. You could also have done synthetic division, but it would be more difficult than this to illustrate because you would be dividing by 3/2.  :/  

Answer: The length  is 12 ft.

Step-by-step explanation:

So a room is likely to be  in a shape of a rectangle. And to to find the perimeter of a rectangle will use the formula   P = 2w + 2l   so in this case we know the perimeter and and the width but we need to find the length.

so using the formula  we could do this

43 = 2(9.5)  + 2l  

43 = 19 + 2l     subtract 19 from both sides

-19    -19

24 = 2l                Divide both sides by 2

l = 12        

The length is 12.

Check:   43 = 2(9.5) + 2(12)

            43 = 19 + 24

              43 = 43  correct so the length is 12.

Answer:

If X || Y and Y || Z, then X_|| Z___

Step-by-step explanation:

This is transitive property

Step-by-step explanation:

Surface area of a cylinder:

A = (2 x pi x r x h) + (2 x pi x r^2)

(2 x pi x 5 x 25) + (2 x pi x 5^2)

785.3981 + 157.0796 = 942.4777cm^2

Volume of cylinder:

V = pi x r^2 x h

pi x 5^2 x 25 = 1963.4954cm^3

Answer:

6 x^3

Step-by-step explanation:

3x(2x^2).

3*2 = 6

x * x^2 = x^3

6 x^3

Answer:

15

[tex] \\ [/tex]

Step-by-step explanation:

[tex] = \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = 15[/tex]

Answer:

the missing side of the triangle is of length 15

Step-by-step explanation:

This problem is asking to find the hypotenuse (longest side) of a right angle triangle, so we can use the Pythagorean theorem, which tells us that the square of the hypotenuse in a right angle triangle equals the addition of the squares of the legs of the triangle (in our case 9 and 12).

We can then find the length of the hypotenuse applying the square root on both sides:

[tex]hyp^2=leg_1^2+leg_2^2\\hyp^2=9^2+12^2\\hyp^2=81+144\\hyp^2=225\\hyp=\sqrt{225} \\hyp=15[/tex]

Answer:

28 numbers

Step-by-step explanation:

There is a distance of 81 between -0.5 and 80.5. Divide this number by 3, since you are only counting every third number and you will get 27, but you need to count the first number, which has been excluded. Add one more to get the answer, 28.

Answer:

Step-by-step explanation:

First problem:  3x + 8 ≥ y  

Second problem:  Represent the number of cupcakes with n and that of balloons by m.  Then ($2/cupcake)(n) + ($1.25/balloon)(m) ≥ $25

Answer:

1) Yes

Product of Means = Product of Extremes

4 × 21 = 7 × 12

84 = 84

2) No

Product of Means = Product of Extremes

2 × 2 = 3 × 3

4 ≠ 9

3) No

Cross multiplying

3 × 6 = 4 × 8

18 ≠ 32

4) Yes

Cross Multiplying

1 × 25 = 5 × 5

25 = 25

Answer:

Step-by-step explanation:

1) 4 : 7   ? 12 : 21

If product of mean is equal to product of extremes, then they are proportion

Product of extremes = 4*21  = 84

Product of mean = 7 * 12 = 84

Product of extremes = Product of mean

They are in proportion

4 : 7 :: 12 : 21

2) 2 : 3 ? 3: 2

Product of extremes = 2*2 = 4

Product of mean = 3*3 = 9

Product of extremes ≠ Product of mean

They are not in proportion

2 : 3 ≠ 3 : 2

3) 3/4 ?  8/6

3 : 4 ?  8:6

Product of extremes = 3 * 6   = 18

Product of mean = 4 * 8 = 24

Product of extremes ≠ Product of mean

They are not in proportion

3 : 4 ≠ 8 : 6

4) 1/5  ? 5/25

1:5  ? 5 : 25

Product of extremes = 1 * 25 = 25

Product of mean = 5 * 5 = 25

Product of extremes = Product of mean

They are in proportion

1 : 5  :: 5 : 25

Answer:

Yes

Step-by-step explanation:

Yes because there is only 1 y value per x value.

Answer:

yes

Step-by-step explanation:

There is a one to one correspondence and this will pass the vertical line test

Answer:

5,000,000 cm

Step-by-step explanation:

1 km=100000cm

we just multiply 50km x 100000,which we get 5 million cm

Answer:

5 000 000 cm

Step-by-step explanation:

1km = 1000 m (meter)

1m = 100 cm

then

1km = 1000×100 cm

      = 100 000

then

50km = 50×100 000

          = 5 000 000

Answer:

Y = 0

Step-by-step explanation:

Y = -1/2 x²

To find y-intercept, substitute X = 0

Solve the equation for y

Y = 0

Answer:

I believe the answer is four there is twice as many horses so you would double the amount of original goats.

The number of goats that went with 6 pigs and 10 horses is; 4 goats.

Let the number of horses be h.

Let the number of pigs be p

Let the number of goats be g.

We are told that horses vary directly as goats.

Thus;

h ∝ g

Thus; h = k1g - --(eq 1)

Also, we are told that horses varies inversely as pigs squared.

Thus;

h ∝ 1/p²

h = k2/p² - - - (eq 2)

Where k1 and k2 are constant of proportionality.

When there are 5 horses there are 2 goats. Thus;

5 = 2k1

k1 = 5/2

k1 = 2.5

When there are 10 horses, we will have;

10 = 2.5g

g = 10/2.5

g = 4

Read more at;https://brainly.com/question/6843518

Answer:

2261.95

Step-by-step explanation:

A=2πrh+2πr2

Answer:

2261.9

Step-by-step explanation:

the other users answer was correct, but not with 1 decimal place

Answer:

[tex]x=\frac{8}{3}[/tex]

Step-by-step explanation:

I don't know if this has an =0 at the end, but I assume it does.

This is how you would work it out:

[tex]-2x-x+8=0\\-3x=-8\\x=\frac{-8}{-3} \\x=\frac{8}{3}[/tex]

Corrected Question

Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72

Answer:

[tex]P(A \cup B) =0.72[/tex] (Proved)

Step-by-step explanation:

Sue travels by bus or walks when she visits the shops.

Let the event that she catches the bus to the shop=A

Let the event that she catches the bus from the shop=B

P(A)=0.4

P(B)=0.7

Both A and B are independent events.

Therefore,Probability that she catches the bus to and from the shop:

P(A∩B) = 0.4 X 0.7= 0.28

Probability Sue walks at least one way [tex]P(A \cup B) = 1 - P(A \cap B)[/tex]

[tex]= 1 - 0.28\\= 0.72[/tex]

Hence, the probability that Sue walks at least one way is 0.72.

Answer:

C.

Step-by-step explanation:

x(6x - 1) – 3(6x - 1) = (6x - 1)(x - 3)

The factor of the polynomial x(6x - 1) – 3(6x - 1) is (6x -1) (x - 3).

The correct option is C.

To factor the polynomial x(6x - 1) - 3(6x - 1), we can observe that both terms have a common factor of (6x - 1). We can factor out this common factor using the distributive property.

The given expression can be rewritten as:

x(6x - 1) - 3(6x - 1)

Now, we can factor out the common factor (6x - 1):

(6x - 1)(x) - (6x - 1)(3)

Notice that we have (6x - 1) as a common factor in both terms. We can combine the two terms using this common factor:

(6x - 1)(x - 3)

Therefore, the factored form of the polynomial x(6x - 1) - 3(6x - 1) is (6x - 1)(x - 3).

Option C: (6x - 1)(x - 3) is the correct answer.

To learn more about Polynomials;

brainly.com/question/11536910

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Answer:

8 nickels and 18 dimes

Step-by-step explanation:

Make a system of equations:

n + d = 26

5n +10d = 220

Solve by elimination by multiplying the top equation by -5. This gives you:

-5n -5d = -130

5n +10d = 220

Then solve to get 5d= 90, then d= 18.

Then plug 18 for d in the equation n + d= 26, so n + 18= 26

n= 8

Answer:

Vertical: 2 units down

Horizontal: 1 unit left

Step-by-step explanation:

X +/- numbers: means it will go up or down

If its parentheses then it is the opposite

Answer:

0.05

Step-by-step explanation:

100 windows is 1.00

95 windows is 0.95

5 = 0.05

Answer:

  On a coordinate plane, a curved line crosses the x-axis at (negative 4, 0), (0, 0), and (4, 0)

Step-by-step explanation:

An odd function is symmetrical about the origin. It will satisfy the relation ...

  f(-x) = -f(x)

Of the given points, the set that is symmetrical about the origin is found on the 3rd graph:

  (-4, 0), (0, 0), (4, 0)

Answer:

B on edge

Step-by-step explanation:

took the test

Answer: Altitude

Step-by-step explanation:

Answer:

B=29

Step-by-step explanation:

you have on the right hand side [tex](7x^{3} y^{3/4}) ^{2}[/tex] which is equal to [tex]49x^{6}yx^{3/2}[/tex] so B=49

Answer:

[tex]5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The second option

Step-by-step explanation:

On the right hand side you have all the multiples of 4, on the left hand side you have 5

The multiples of four are ...,-8,-4,0,4,8,....

so the simbol that means that 5 is not an element of the multiples of four is the second option.

Answer:

so the answer is f, the last one

Answer:

A = 0.50j + 6.......u r correct

he started with 6....and he is selling each cup (j) for 0.50

so lets say he sold 10 cups...u would sub in 10 for j

A = 0.50(10) + 6

A = 5 + 6

A = 11......and he would have $ 11

Answer:

So in this question im guessing you simplify with parenthesis

Since its too easy, I cant really explain, but heres the answer:

(q+3)*10