Answer:
b
Step-by-step explanation:
Using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (4, 1)
d = 
= 
= 
= 
→ b
Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.
Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
= 4(x^2+3x) + 9, or
= 4x^2 + 12x + 9 = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3). Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.
c=2x+3 is the correct answer.
Answer:
Audrina needs 216 feet long fabric to make 54 curtains.
Step-by-step explanation:
Length of 1 curtain = 48 inches.
So, the length of 54 curtains = (48 x 54) inches
= 2592 inches.
So, total fabric needed to make 54 curtains = 2592 inches.
Now 1 inch = 0.0833 foot
So, 2592 inches = (2592 x 0.0833) feet
= 215 . 91 feet ≈ 216 feet
So, Audrina needs 216 feet long fabric to make 54 curtains.
<h3>
<u>Answer </u><u>:</u><u>-</u></h3>
( 1 - cos²x ) secx
=> sin²x . secx
Here the rule ( rule 1 ) is the first trigonometric identity [ sin²A + cos²A = 1 ] by simplifying we have , [ 1 - cos²A = sin² ] . So here we substituted 1 - cos²x = sin²x .
=> sin²x [ 1/cosx ]
Here the rule ( rule 2 ) is secx = 1/cosx . So here we substituted secx = 1/cosx .
=> sinx [ sinx/cosx ]
Here the rule ( rule 3 ) is sin²x can be written as sinx . sinx , so we get sinx . sinx [ 1/cosx ] next by simplifying , sinx [ sinx/cosx ].
=> sinx tanx
Here the rule ( rule 4 ) is , in the above we got sinx/cosx and here we know that , sinx/cosx = tanx . So we have tan x .
Answer:
132 cm^2
Step-by-step explanation:
7x4 is 28 for the top rectangle.
Bottom left triangle is bh/2 which here is 8x6/2 which is 24.
The same goes for the bottom right triangle.
Lastly the middle triangle is 7*8 which is 56.
Hence, 56+28+24+24=132!
Hope it helped!
