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Alexxx [7]
2 years ago
5

HCF AND LCM OF x^2+5x+6,x^2-4​

Mathematics
1 answer:
liberstina [14]2 years ago
5 0

Answer:

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

Step-by-step explanation:

hcf=(x+2) using different of two squares for x square minus four

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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 12 feet a
Brrunno [24]

Answer:

Step-by-step explanation:

The student needs to check all algebraic and mathmatical calculations for errors and typos.  I'm old and have been prone to making mistakes.

Cylinder A DIAMETER 12 ft and Height 13 ft

Cylinder B DIAMETER 10 ft and Height 16 ft

After pumping How much water remains in cylinder A

Volume of a cylinder  =  π(radius)²h is the normal form since they provided the diameter I will use     Volume of a cylinder  =  π(diameter/2)²h

Water remaining in A = Volume of A  - Volume of B   =  

VolA  - VolB  =  π(D for A/2)²H of A  -   π(D for B/2)²H of B

             writing if a little more condensed

VolA  - VolB  =  π(D for A/2)²H of A  -   π(D for B/2)²H of B

    Va - Vb    =   π(Da/2)²Ha  -   π(Db/2)²Hb

                     =  π [(Da²/2²)Ha - (Db²/2²)Hb]      factored out the π

                     =  π/4 [ Da²Ha  - Db²Hb]              factored out the (1/2)²

             I can't think of any other algebraic steps

Va - Vb = Water Remaining in Container A  =  π/4 [ Da²Ha  - Db²Hb]            

            =  π/4 [ (12²)(13)  - (10²)(16)]

            =  π/4 [ (144)(13)  - (100)(16)]

            =  π/4 [ 1872 - 1600 ]

            =  π/4 [272]

            =  π [ 272/4 ]  

            =  π [ 136 / 2]

            =  π [ 68 ]

            =  π (68)

            =  213.6  ft³             rounded to the nearest tenth

I checking my answer by using  V = πr²h         r = d/2

           Va - Vb = π [ra²ha - rb²hb]

                         = π [6²(13)  - 5²(16)]

                         = π [(36)(13) - (25)(16)]

                         = π [ 468 - 400]

                         = 68 π

                         = 213.6 ft³         I got the same answer

       

            =  π

test

   

8 0
2 years ago
Helppp plssss!!! Thanks!!
faltersainse [42]

The answer is D.

y = x + 1 = 4 + 1 = 5

y = 1/2x + 3 = 1/2(4) + 3 = 2 + 3 =5

4 0
3 years ago
Please answer correctly!! I’ll mark as brainliest! <br><br> No links no fake answers
Lelechka [254]

Answer:

Step-by-step explanation:

3: Answer: 115

4: Answer: 20

8 0
3 years ago
Read 2 more answers
2 consecutive integers such that 7 times the smaller is less than 6 times the greater. What are the greatest such intergers
postnew [5]

Answer:

The numbers are

22 and 23  to solve a problem like this, we need to read and define as we go. Let me explain. So we know that there are two consecutive integers. They can be

x and x+1

. Since their consecutive, one has to be 1

number higher (or lower) than the other. Ok, so first we need "seven times the larger"( 7x+1)

Next, we need to "minus three times the smaller" 7(x+1)−3x

Is equal to " 957(x+1)−3x=95

Alright! There's the equation, now we just need to solve for  x! First we are going to get everything on one side and distribute the 7=7x+7−3x−95=4x−88

Pull out a

=4(x−22)Now that we have two terms, we can set them both equal to

0 and solve.4≠0

This can never be true, lets move to the next term (x−22)=0x=

22 That's it! So your two consecutive numbers are

22

7 0
2 years ago
Andrew has 20 more goldfish than Todd .together they have 80 goldfish how many goldfish does each boy have
mina [271]

Hi!

Lets work through this problem together.

If they have 80 Goldfish in all, and Andrew has 20 more than Todd, that means that means Andrew has i think 60.

4 0
3 years ago
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