Answer:
(5*sqrt(2), 5pi/4)
Step-by-step explanation:
In Polar coordinates, tan(theta)=y/x and r=sqrt(x^2+y^2)
tan(theta)=-5/5=-1. Theta=5pi/4
r=sqrt(5^2+5^2)=5*sqrt(2)
Hence the Polar coordinate is (5*sqrt(2), 5pi/4)
That's already in gradient-intercept form, EXCEPT that we typically write such an equation with y positive.
So we'd geet y = -x - 1 (answer)
Note that "gradient" means "slope" here. The slope is -1 and the y-intercept is also -1.
Answer:
$160
Step-by-step explanation:
Step one:
given data
Principal = $2000
rate= 8%
time t= 1 year
Required
The Simple interest paid after 1 year
Step two:
Simple interest = PRT/100
Simple interest = 2000*8*1/100
Simple interest = 16000/100
Simple interest =$160
The simple interest paid after 1 year is $160
Answer:
x = 2/3
Step-by-step explanation:
sin²30° + cos²30° + x.tan²60° = cot²30°
=> (1/2)² + (√3/2)² + x(√3)² = (√3)²
=> 1/4 + 3/4 + 3x = 3
=> 3x = 2
=> x = 2/3
Answer:
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Step-by-step explanation:
