The answer is ". d."
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Answer:
Step-by-step explanation:
sec(theta) is defined as:
In the diagram you provided the hypotenuse of the triangle is sqrt(41) and the opposite side is 5, using these two sides, we can solve for the adjacent side by using the Pythagorean Theorem:
So this gives us the equation where a=adjacent side:
Subtract 25 from both sides
Take the square root of both sides
So now plug this into the definition of sec(theta) and you get: . This is in most simplified form since 41, has no factors besides 41 and 1.
Answer:
B = 1.875
Step-by-step explanation:
given that A varies directly as B and inversely as C then the equation relating them is
A = ← k is the constant of variation
to find k use the condition A = 12 when B = 3 and C = 2 , then
12 = ( multiply both sides by 2 to clear the fraction )
24 = 3k ( divide both sides by 3 )
8 = k
A = ← equation of variation
when A = 10 and C = 1.5 , then
10 = ( multiply both sides by 1.5 )
15 = 8B ( divide both sides by 8 )
1.875 = B
Answer:
a) + 6x + 8
b) 6 - 7x
c) - 7x +4
d) 2x + 5
Step-by-step explanation:
a) (5x + 4) – (x – 2)
(5x + 4) (-x + 2)
+ 10x - 4x + 8
+ 6x + 8
b) (6 – 3x) + (x – 5x)
6 – 3x + x – 5x
6 - 7x
c) (4x + 5) – (3x – 2) – 6
(4x + 5) (–3x + 2) – 6
+ 8x -15x + 10 -6
- 7x +4
d) 9x + 5 – 7x
2x + 5
hope this helps!