Answer:
-2.61803398875, -0.38196601125
or
(-3±√5)/2
Step-by-step explanation:
First, expand. (2x+3)² = 4x²+12x+9=5
4x²+12x+4 = 0
Quadratic equations take the form ax²+bx+c = 0
In this case,
a = 4
b = 12
c = 4
You can solve with the equation x=(-b±√b²-4ac)/2a
Plug in:
(-12±√144-64)/8
(-12±√80)/8
(-12±√2^4×5)/8
(-12±4√5)/8
(-3±√5)/2
Final answer x = (-3±√5)/2
If you want decimal form: -2.61803398875, -0.38196601125
5:3
5+3=8
8 units
800=8 units
divide oth sides by 8
100=1 units
soccer=5 units=5 times 100=500
social=3 units=3 times 100=300
500 soccer players
Answer:
351 carrots
Step-by-step explanation:
13 = 1 tens + 3 units
27 = 2 tens + 7 units
<h3>13 × 27</h3>
13 × 27 = 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27
13 × 27 = 351
Conclusion:
Total Carrots is 351 carrots.

Answer: 109.5 km/ hr
Step-by-step explanation:
Distance = 73 km
Time = 40 minutes = 40/60 = 2/3 hours
Speed = Distance / time
= 73 / 2/3
= 73 x 3/2 = 219 / 2 = 109.5 km/hr
Step-by-step explanation:
1.


Therefore,

2.


Use the identity

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,

Solving for tan x:
