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satela [25.4K]
3 years ago
5

Factor the polynomial below. 9x^2-1 A. (-1)(9x-1) B. (3x-1)(3x-1) C. (3x-1)(3x+1) D. (x-1)(9x+1)

Mathematics
1 answer:
telo118 [61]3 years ago
6 0

Answer:

(3x-1) (3x+1)

Step-by-step explanation:

9x^2-1

Rewriting as

(3x)^2 - 1^2

This is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(3x-1) (3x+1)

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Maria calls her mother 5 times every week. Let w represent the number of weeks and c represent the total number of times Maria c
galina1969 [7]

Answer:

Equation: 5w = c

Step-by-step explanation:

{ \tt{w \:  \alpha \: c}} \\ { \tt{w = kc}}

k is a constant of proprtionality

{ \tt{1 = (k \times 5)}} \\ { \tt{k =  \frac{1}{5} }}

» Therefore, equation becomes:

{ \tt{w =  \frac{1}{5}c }} \\  \\ { \boxed{ \tt{5w = c}}}

8 0
2 years ago
78 234 : 8 <br><br> 289 436 : 6 <br><br> 632 174 :23<br><br> 834 512 : 47
Ira Lisetskai [31]

Answer:

The answer is: (division)

1) 9779.25

2) 48239.333

3) 27485.826

4) 17755.5744

Hope it helps!

Step-by-step explanation:


7 0
3 years ago
Help pleaseeeeeeeeee​
Viktor [21]

Answer: Area of Δ DUO = 12.0 square units.

Step-by-step explanation:

From the diagram, Δ DPA is a right angled triangle and right angled at P.

Therefore ∠D will be

Tan ∅° = PA/DP ie, opposite side all over the adjacent.

            = 4.5/3.75

Tan∅°   = 1.2

to calculate ∅°, we know find the inverse of Tan 1.2

∅ = Tan^-1 1 .2 from your log tables or calculator

         ∅° = 50.20°.

               = 50°

Since line DR is ⊥ to line OP

∠ADR = 90° - 50°

            = 40°.

From the diagram,

     ∠ADR = ∠UDR = 40°

Therefore,

    ∠ODU = 180 - ( 40 + 40 + 90 )  { Angle on a straight line }

                 = 180 - 170

                 = 10°

From Δ UDM , line MU is he height of the required Δ DUO whose area is to be determined.

Now find the height MU

            Tan10.0° = MU/10, where MU is the opposite side and 10.0 is the adjacent from the diagram given.

             MU = Tan10.0 x 10.0

                    =  0.1763 x 10.0

                    =  1.763

Therefore to calculate the area of Δ DUO

                    =   1/2 x base x height

                    = 1/2 x line OD x line MU

                    = 1/2 x 14.0 x 1.763

                    = 7 x 1.763

                    = 12.341

                    = 12.0 square units.

         

           =  

                   

6 0
3 years ago
Evaluate the expression 91/31
san4es73 [151]
I got 2.935483 so you might be able to round to 3.
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3 years ago
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Which is an equation of the line that passes through (4, –5) and (6, –9)?
cricket20 [7]

Answer:

Step-by-step explanation:

Hope this helps

8 0
3 years ago
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