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ipn [44]
3 years ago
12

Karolina Bravo

Mathematics
2 answers:
oee [108]3 years ago
7 0

Answer:

The Answer would be 8.

Step-by-step explanation:

9 x 8 = 72

leonid [27]3 years ago
5 0

Answer:

8

Step-by-step explanation:

72/9 = 8

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Finding first six terms of a sequence
Jlenok [28]
2, 4, 6, 8, 10, 12


difference is 2
6 0
3 years ago
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Find the values of the pronumerals in this diagram. Write down the reason in each case.
timofeeve [1]

Answer:

see explanation

Step-by-step explanation:

a and 85 form a straight angle and are supplementary, thus

a + 85 = 180 ( subtract 85 from both sides )

a = 95

b and 85 are vertical angles and are congruent, thus

b = 85

c and 85 are corresponding angles and congruent, thus

c = 85

c and d are vertical angles and congruent, thus

d = 85

In conclusion

a = 95, b = 85, c = 85, d = 85

5 0
3 years ago
What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

<u>Solution: </u>

The given expression is (2 x-3 y)^{10}

As per binomial theorem, we know,

(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now x^{5}\times y^5 will be the 6 term where k =5

Now, \mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}

So, the coefficient of x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right.

10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252

The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

6 0
3 years ago
Select all equations that have two solutions. a x^2=16 b 4x^2=0 c x^2=-16 d 3x+2=14 e x^2-1=24 f (x+8)(x-8)=0
never [62]

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a )

{x}^{2}  = 16

x = ± \: 4

Two solutions.

_________________________________

b )

4 {x}^{2}  = 0

x = 0

One solution .

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c )

{x}^{2}  =  - 16

No  \:  \: solution.

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d )

3x + 2 = 14

x = 4

One solution.

_________________________________

e )

{x}^{2}  - 1 = 24

{x}^{2}  = 25

x =± \: 5

Two solutions.

_________________________________

f )

(x + 8)(x - 8) = 0

x =  - 8 \:  \: or \:  \: x = 8

Two solutions .

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5 0
2 years ago
Are the following figures similar?
grin007 [14]
C Yes; the corresponding angles are congruent
7 0
3 years ago
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