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nevsk [136]
3 years ago
5

Find the greatest common factor: 4ab^2 c^4-2a^2 b^3 c^2+6a^3 b^4 c

Mathematics
1 answer:
Tatiana [17]3 years ago
6 0
Well the GCF is the number that can be used to simplify, or that fits in all of your numbers for example this are all small numbers so 2 should fit in all of them 2 fits in 4 two times 2 fits in 2 one time and 2 fits in 6 three times now lets check our variable, to find the GCF of the variable first chekc if they all have the same if they don't u can't get none of taht variebles out, but if they repeat in all like the a u will take out the smallest amount out, for example the a as one in the degree of 1 the other in to the 2 degree and the last one to teh 3 degree well the smallest degree will be 1 so u will only take 1 a out so now ur GCF looks like 2a... Lets check the other variables, b is used in all of them and the smallest degree is b2 so we will take out 2 b's out so now my GCF looks like 2ab2 now lets check our last variable the, the c has the smallest degree of 1 so we will only take 1 c out
this means our final GCF is "2ab2c"

Hoep this helps
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Solve the inequality and enter your solution as an inequality comparing the variable to the solution.
pickupchik [31]

Hi Brainiac


-8+x<18

Simplify

x-8<18

Add 18 to both sides

x-8+8<18+8

x<26

I hope that's help:0

Please rate my answer,thanks:)

6 0
3 years ago
Hello, can anyone help me by answering all these? Please
kompoz [17]

Answer: See step by step

Step-by-step explanation: For A my 15 statements are.

  1. It has 3 triangles inside it, ACD, ADC, and ABC
  2. It has 2 right triangles, and 1 isoceles
  3. AC≅AB
  4. CD≅DB
  5. D is midpoint of CB
  6. AD⊥CB
  7. Angle CDA=90 degrees
  8. Angle  BDA equal 90 degrees
  9. AD≅AD
  10. ΔCDA≅ΔBDA by any congruence theorem, (SSS, SSA,AAS,ASA, HL)
  11. AD^{2}+ DB^{2}=AB^{2}

 12.AD^{2}+ CD^{2}= AC^{2}

   13. Triangle ABC has a max of 180 degrees.

     14. We can rotate this triangle 180 degrees and it will coincide.

       15. We can reflect triangle ACD over vertical line ACD and it will be congruent to ABD.

 2.  We use pythagorean theorem since it has a right angle.

      AD^{2}+ DB^{2}=AB^{2} Let plug it in.

      40^{2}+b^{2}=45^{2}

        1600+ b^2=2025

      b^2=424

      sqr root of 425 is about 21. Now let find the perimeter.

      AB is 45, Since BD+DC=CB, and they are congruent they are equal so 21+21=42 and AC is congruent to AB so it is 45. So the perimeter is  132.

  For 3. Start at the orgin, then go up 5 on the y-axis so you should be at (0,5)

   Then use the rise over run method to graph it. go left -3 and and up 1. Keep doing that 2 more times then draw a straight line.  

Your 3 point should be

(0,5)

(1,2)

(2,1)

   

8 0
2 years ago
I need help on these questions please
Paraphin [41]

Answer:

Step-by-step explanation:

1). In ΔABC,

   For angle A as a reference angle,

   Opposite side of ∠A → BC

   Adjacent side of ∠A → AC

   Hypotenuse → AB

2). By using tangent ratio in ΔYWZ,

    tan(72°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

    tan(72°) = \frac{12}{x}

    x = \frac{12}{\text{tan}(72)}

    x = 3.899

    x ≈ 3.9

3). By using sine rule in ΔKNM,

    tan(x°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

    tan(x) = \frac{20}{58}

    x = \text{tan}^{-1}(\frac{20}{58} )

    x = 19.03

    x ≈ 19.0°

4). By applying cosine ratio in ΔJKF,

    tan(70°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

    tan(70) = \frac{60}{x}

    x = \frac{60}{\text{tan}(70)}

    x = 21.838

    x ≈ 21.8

7 0
3 years ago
A bottle of cranberry juice contains 32 fluid ounces and costs $2.56. What is the unit rate?
Tamiku [17]
Unit rate is (cost) per 1 unit
the unit is fluid oz
'per' is fraction
cost/1unit
so we do
2.56/32
divide completely
2.56/32=0.08/1
the unit rate is $0.08 per oz
6 0
3 years ago
Read 2 more answers
It takes Aaron 5 minutes to squeeze the juice from 3 grapefruits. At this rate, how many minutes will it take him to squeeze the
aliya0001 [1]
20 minutes because 12/3=4 and 4x5=20
3 0
3 years ago
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