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rjkz [21]
3 years ago
6

I need help proving this ASAP

Mathematics
2 answers:
Tom [10]3 years ago
4 0
Hey sorry I can’t help but use Mathaway or Photomath to help!
Rama09 [41]3 years ago
3 0

Answer:

1 + tan²A = sec²A = 1/cos²A

2tan(X/2)/(1+tan²(X/2))

= 2tan(X/2)cos²(X/2)

= 2[sin(X/2)÷cos(X/2)]cos²(X/2)

= 2sin(X/2)cos(X/2)

= sin(X)

Because sin(2A) = 2sin(A)cos(A)

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15 POINTS: A motorboat traveling downstream covers the distance between port M and port N in 6 hours. Once, the motorboat stoppe
pav-90 [236]

Answer: S=18

Step-by-step explanation:

D = distance between M and N  

S = speed of the boat  

S + 2 = speed down streem  

S - 2 = speed upstream  

T = time on the downstream leg until the boat made its turn  

9-T= time on the upstream leg  

6(S + 2) = D  

T (S + 2) = D - 40  

(9-T)(S-2) = D - 40  

now we have 3 equations and 3 uknowns  

lets multply everything out  

6S + 12 = D  

ST + 2T = D - 40  

9S - 18 - ST + 2T = D - 40  

add the second 2 together to get rid of the ST term  

9S - 18 + 4T = 2D - 80  

and lest subtract them from one annother  

2ST - 9S + 18 = 0  

if we can find T in terms of S we will have a quadratic equation, and will be able to use the quadratic formula / factor

9S - 18 + 4T = 2(6S + 12) - 80  

9S - 18 + 4T = 12 S + 24 - 80  

4T = 3S - 38  

T = 0.75 S - 9.5  

2S(0.75 S - 9.5) - 9S + 18 = 0  

1.5 S^2 - 28 S + 18 = 0  

S = 18, 2/3  

now it doesn't make sense for S to equal -2/3 as it suggests the boat moves backward when it is going up stream. (and that it travels downstream for negative time)  

S = 18

8 0
3 years ago
Which ordered pair (x, y) can be added to the table so that y is still a function of x?
Ymorist [56]

Answer:

B. (3, -2)

Step-by-step explanation:

For the table to still be a function, any added pair should not result into any x-value having different y-values. This is because, for the table to remain a function, no x-value should give different y-values. That is, each x-value must have exactly one y-value.

❌If we add the ordered pair in option A, (6, 4) to the table, y is no longer a function of x, because we would be having an x-value of 6 giving us different y-values of -13 and 4.

✅If we add the ordered pair in option B, (3, -2) to the table, y would remain a function of x, because we would be having each x-value having exactly one y-value.

❌If we add the ordered pair in option C, (0, 4) to the table, y is no longer a function of x, because we would be having an x-value of 0 giving us different y-values of -1 and 4.

❌If we add the ordered pair in option D, (-2, 5) to the table, y is no longer a function of x, because we would be having an x-value of -2 giving us different y-values of 3 and 5.

The answer is B. (3, -2).

8 0
3 years ago
A can of cat food costs $0.62. How much would it cost to buy 5 cans of cat food?​
babunello [35]
The correct answer is $3.1

Explanation : $0.62 x 5 = $3.1
4 0
3 years ago
Read 2 more answers
Translate the following mathematical sentence into an algebraic expressionſequation.
Andru [333]

Answer:

(7+x)-5=42

Step-by-step explanation:

Follow me for more answers If you like my way of solving

7 0
4 years ago
Will mark you crown....
vampirchik [111]

Answer: positive correlation or 15

negative

Step-by-step explanation:

7 0
3 years ago
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