Answer:
Step-by-step explanation:
The equation is given: m/2 - 3n/4 = 16
1) When n = 8: m/2 - 24/4 = 16
m/2 - 6 = 16
∴ m = 2 X 22 = 44
2) When n = 20: m/2 - 60/4 = 16
m/2 - 15 = 16
∴ m = 2 X 31 = 62
3) When n = 32: m/2 - 96/4 = 16
m/2 - 24 = 16
∴ m = 2 X 40 = 80
4) When n = 44: m/2 - 132/4 = 16
m/2 - 33 = 16
∴ m = 2 X 49 = 98
5) When n = 48: m/2 - 144/4 = 16
m/2 - 36 = 16
∴ m = 2 X 52 = 104
Answers: sin(2∅) = 120/169, cos(2∅) = 119/169, tan(2∅) = 120/119
<h3>What are trigonometric functions?</h3>
Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.
Analysis:
If cos∅ = adjacent/hypotenuse = 12/13,
Then, opposite of the right angled triangle = 
= 5
sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12
sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169
cos(2∅) = 
∅ - 
∅ = 
- 
= 144/169 - 25/169 = 119/169
tan(2∅) = sin(2∅) / cos(2∅) = 120/169 ÷ 119/169 = 120/119
Learn more about trigonometric functions: brainly.com/question/24349828
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Answer:
a. independent = number of days
dependent = number of miles
b. f(x)=340x
x = number of days
f(x) = number of miles
c. f(x)=850
850 miles
Step-by-step explanation:
a. the number of miles depends on number of days because more days equals more miles traveled.
b. Idk u need y or f(x) but just switch to one u need.
c. 340 × 2.5 = 850
Hope this helps!
Answer:
x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3
Step-by-step explanation:
Solve for x:
6 x^2 - 4 x = 1
Divide both sides by 6:
x^2 - (2 x)/3 = 1/6
Add 1/9 to both sides:
x^2 - (2 x)/3 + 1/9 = 5/18
Write the left hand side as a square:
(x - 1/3)^2 = 5/18
Take the square root of both sides:
x - 1/3 = sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3
Add 1/3 to both sides:
x = 1/3 + sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3
Add 1/3 to both sides:
Answer: x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3
Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
