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MatroZZZ [7]
3 years ago
10

Factor. 2f2 + 9f + 10

Mathematics
1 answer:
Natali [406]3 years ago
4 0

Answer:

11f+12

Step-by-step explanation:

Because the fs go together and so do the normal answers.

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Use the expression to find the value of the 20th term.<br> A. 24<br> B. 76<br> C. 80<br> D. 84
Oliga [24]

Answer:

c

Step-by-step explanation:

if its talking about what ones a factor or moltiple of 20 then c if not then i dont know

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I need help pls I would appreciate it
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2.) D
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Get someone else to do 6 I cant
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This is simple, but I don't have time to do this now, list the composite numbers from 2-50 please!
Kamila [148]
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50
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The volume of a tetrahedron is 1 6 of the volume of a parallelepiped whose sides are formed using the vectors coming out of one
Irina18 [472]

Answer: The volume of the tetrahedron is 2 units.

Step-by-step explanation:

Let A = (1, 1, 1)

B = (1, 5, 5)

C = (2, 2, 1)

The volume of a tetrahedron is given as

V = (1/6)|AB, AC, AD|

Where |AB, AC, AD| is the determinant of the matrix of AB, AC, AD.

We need to determine AB, AC, and AD

Suppose A = (a1, a2, a3)

B = (b1, b2, b3)

C = ( c1, c2, c3)

AB = ( b1 - a1, b2 - a2, b3 - a3)

Similarly for AB, AC, BC, etc.

AB = (1 - 1, 5 - 1, 5 - 1)

= (0, 4, 4)

AC = (1, 0, 2)

AD = (1, 1, 0)

Volume =

(1/6) |0 4 4|

|1 0 2|

|1 1 0|

= (1/6)[0(0 - 2) - 4(0 - 2) + 4(1 - 0)

= (1/6)(0 + 8 - 4)

= (1/6)(12)

V = 12/6 = 2 units

5 0
3 years ago
Match each function formula with the corresponding transformation of the parent function y = (x - 1)2 1. y = - (x - 1)2 Reflecte
lawyer [7]

Answer:

  1. y = -(x-1)² . . . . reflected over the x-axis
  2. y = (x-1)² +1 . . . . translated up by 1 unit
  3. y = (x+1)² . . . . reflected over the y-axis
  4. y = (x-2)² . . . . translated right by 1 unit
  5. y = (x-1)² -3 . . . . translated down by 3 units
  6. y = (x+3)² . . . . translated left by 4 units

Step-by-step explanation:

Since you have studied transformations, you are familiar with the effect of different modifications of the parent function:

  • f(x-a) . . . translates right by "a" units
  • f(x) +a . . . translates up by "a" units
  • a·f(x) . . . vertically scales by a factor of "a". When a < 0, reflects across the x-axis
  • f(ax) . . . horizontally compresses by a factor of "a". When a < 0, reflects across the y-axis.

Note that in the given list of transformed functions, there is one that is (x+1)². This is equivalent to both f(x+2) and to f(-x). The latter is a little harder to see, until we realize that (-x-1)² = (x+1)². That is, this transformed function can be considered to be either a translation of (x-1)² left by 2 units, or a reflection over the y-axis.

8 0
3 years ago
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