Answer:
D. Pythagorean
Step-by-step explanation:
Given the identity
cos²x - sin²x = 2 cos²x - 1.
To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.
Starting from the left hand side
cos²x - sin²x ... 1
According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:
x = rcostheta
y = rsintheta
Substituting into the Pythagoras firnuka we have
(rcostheta)²+(rsintheta)² = r²
r²cos²theta+r²sin²theta = r²
r²(cos²theta+sin²theta) = r²
(cos²theta+sin²theta) = 1
sin²theta = 1 - cos²theta
sin²x = 1-cos²x ... 2
Substituting equation 2 into 1 we have;
= cos²x-(1-cos²x)
= cos²x-1+cos²x
= 2cos²x-1 (RHS)
This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM
Answer:
y=20x+14, where:
y is the total amount you would pay for using the sailboat
x is the number of hours the sailboat is used
Step-by-step explanation:
An equation in slope-intercept form is set up as y=mx+b. From the information provided, the equation would indicate that the cost of renting the boat would be equal to the price per hour for the number of hours plus the cost of lifejackets and the equation in slope-intercept form that can be used is:
y=20x+14, where:
y is the total amount you would pay for using the sailboat
x is the number of hours the sailboat is used
Answer:
Step-by-step explanation:
1. By definition, two slopes are perpendicular if their slopes are negative reciprocals of each other. So, let's find the slope of the other line.
2. The equation given in the problem is written in Point-slope form:
Where m is the slope.
3. Therefore, the slope of its perpendicular line must be:
4. You have the point (-5,7), so you can substitute it into the point-slope formula to find the equation of the new line:
5. In slope intercept form is:
6 is 75% of 8. 6/8 can be simplified to 3/4, which is easier to see as 75%.
Inverse relationships are of the form xy=k or if you prefer y=k/x so to find the constant we can say:
18(0.25)=k=4.5
So you could say: IR=4.5 or I=4.5/R