Answer:
B
Step-by-step explanation:
Use the elimination method by adding the equations together:
5x - 2y = 4
3x + 2y = 12
---> 8x = 16
x = 2
Answer:
18 cm²
Step-by-step explanation:
Base * half height says 6*6/2 = 18.
The trick is to put the 90° angle at the base (rotate the triangle).
Answer:
137°
Step-by-step explanation:
So, both are equal to each other due to them being the same degree angle.
5x+7=8x-71
subtract 5x on both sides
7=3x-71
add 71 to both sides
77=3x
divide both sides by 3
77/3=x
x equals about 26
insert x into the problems
[5(26)+7]°
this equals 137°
[8(26)-71]°
this equals 137°
You just find the coordinate point. then, use your slope 2/3 (up 2, right 3) :)
EX: if your slope was negative, you’d do the same thing, but opposite -2/-3 (down 2, left 3)
hopefully this helps, good luck with math!! <3
(ps sorry if the drawing bothers you, but I wanted to show you as best as I could on how to solve your question :) )
Answer:
(1-cos2A) /(1+cos2A) =tan²A
Proof:
We know that,
cos(A+B) =cosA.cosB-sinA.sinB
=>cos2A=cos(A+A)
=>cos2A=cosA.cosA - sinA.sinA
=>cos2A=cos²A-sin²A
=>cos2A=(cos²A-sin²A)/(cos²A+sin²A
Since {cos²A+sin²A=1}
Divide the numerator & the denominator by (cos²A) to get,
cos2A = {(cos²A-sin²A) ÷cos²A} / {(cos²A+sin²A) ÷cos²A}
cos2A ={(1-tan²A)/(1+tan²A)}
Then,
1-cos2A = 1-[{(1–tan²A)/(1+tan²A)}]
1-cos2A =(1+tan²A-1+tan²A)/(1+tan²A)
1-cos2A=(2tan²A)/(1+tan²A)
And now.......
1+cos2A=1+[{(1-tan²A)/(1+tan²A)}]
1+cos2A={1+tan²A+1-tan²A}/{1+tan²A}
1+cos2A=2/(1+tan²A)
So now,
(1-cos2A)/(1+cos2A)= {2tan²A/(1+tan²A)}÷{2/(1+tan²A)}
={(2tan²A)(1+tan²A)}÷{2(1+tan²A)}
=tan²A
Step-by-step explanation:
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