In the triangle above, Eight-fifteenths represents which ratio?

Mathematics

1 answer:

Alecsey [184]3 years ago

6 0

The answer is AC/AB or tanB.

tangent is opposite over adjacent, and the opposite of angle B is 8 and the adjacent is 15, which gives you 8/15.

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Determine if the sequence is arithmetic. If it is, find the common difference. Is the sequence a function ?

BaLLatris [955]

$6)\\r=a_{n+1}-a_n\to r=a_2-a_1=a_3-a_2=a_4-a_3=...\\\\a_1=-7;\ a_2=-10;\ a_3=-11;\ a_4=-13\\\\a_2-a_1=-10-(-7)=-10+7=-3\\a_3-a_2=-11-(-10)=-11+10=-1\\\\a_3-a_2\neq a_2-a_1\\\\\text{It's not an arithmetic sequence}$

$\r=\dfrac{a_{n+1}}{a_n}\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...\\\\8.)\\a_1=4;\ a_2=20;\ a_3=100;\ a_4=500\\\\r=\dfrac{20}{4}=\dfrac{100}{20}=\dfrac{500}{100}=5\\\\10.)\\a_1-30;\ a_2=-45;\ a_3=-50;\ a_4=-65\\\\\dfrac{a_2}{a_1}=\dfrac{-45}{-30}=\dfrac{3}{2}\\\\\dfrac{a_3}{a_2}=\dfrac{-50}{-45}=\dfrac{10}{9}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}$
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8 0

3 years ago

Simplify the expression. (7x + 3) + (4x - 1) - (2x + 4)

Crazy boy [7]

Answer:

9x -2

Step-by-step explanation:

(7x + 3) + (4x - 1) - (2x + 4)

Distribute the minus sign

(7x + 3) + (4x - 1) - 2x - 4

Combine like terms

7x+4x-2x +3 -1-4