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slava [35]
2 years ago
11

4(4 + 7x) + x 2 -6x +5

Mathematics
1 answer:
balu736 [363]2 years ago
4 0
Factoring this equation would get you (x+21)(x+1)
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Expand the given power by using Pascal’s triangle. (9a - 10b)^6
xxMikexx [17]

Answer:

531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

Step-by-step explanation:

                     1                                n=0

                  1      1                            n=1

                 1   2   1                           n=2

                1  3  3  1                          n=3

              1  4  6  4   1                      n=4

             1  5 10 10 5  1                    n=5

           1 6 15 20 15 6 1                   n=6

This is where n is the exponent in

(x+y)^n.

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

Now we want to expand:

(9a-10b)^6 or we we can rewrite as (9a+(-10b))^6.

Let's replace x with (9a) and y with (-10b) in the expansion:

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

((9a)+(-10b))^6

=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6

Let's simplify a bit:

=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6

=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

8 0
3 years ago
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the dista
scZoUnD [109]
The answer to this question 
is 60mph 

3 0
3 years ago
In ΔABC, which trigonometric ratio equals 32?
Nezavi [6.7K]
The given answer should be "3/2", its because "32" is not possible in anyway.. 

tan C = sin C / cos C

Where sin C = 3 / 3.61

And

cos C = 2 / 3.61

Now

tan C = (3 / 3.61) / (2 / 3.61) = (3 / 3.61) x (3.61 / 2) = 3 / 2

<span>Thus tan C is the correct choice.   </span>

6 0
2 years ago
Please help me answer this question
sveta [45]

Answer:

its an isosceles triangle

Step-by-step explanation:

4 0
3 years ago
What is the slope of a line perpendicular to the line that passes through (4, -3) and
m_a_m_a [10]

Answer:

1/2

Step-by-step explanation:

The slope of the points (4,-3) and (3,-1) is -2

The slope of a line perpendicular to said points would be the opposite reciprocal which would be 1/2

heres how you'd find the initial slope of the points

(4, -3)

-1  +2

(3, -1)

Slope= rise/run= 2/-1= -2

4 0
2 years ago
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