Answer:
1) x = 5√(1-sin^2t)
2) y = = -2+3t
Step-by-step explanation:
1)
Given rectangular equation:
x^2/25 + y^2 =1
Parametric equations y=-sint and x=?
Find parametric equation for x
Substituting value of y =-sint in given rectangular equation, we get
x^2/25 + (-sint )^2 =1
x^2/25 + sin^2t =1
x^2 + 25sin^2t = 25
x^2 =25 - 25sin^2t
taking square root on both sides
x= √(25 - 25sin^2t)
= √25(1-sin^2t)
= 5√(1-sin^2t)
2)
Given rectangular equation:
y=-3x+4
Parametric equations x=2-t and y=?
Find parametric equation for y
Substituting value of x=2-t in given rectangular equation, we get
y= -3(2-t) +4
= -6+3t+4
= -2+3t !
Answer:
24
Step-by-step explanation:
x + x + 1 = 49
x + x = 2x = 48
x = 48 ÷ 2 = 24
9514 1404 393
Answer:
7%
Step-by-step explanation:
The tax rate is the ratio of tax to pre-tax cost:
$4.20/$60.00 = 0.07 = 7%
The constant of variation (tax rate) is 7%.
1. f(-6)=12
2. k(-4)=-68
Further explanation:
We have two functions whose values we have to find on certain points.
In order to find the values of function, the value is put in place of variable in the function.
So,
<u>1. f(a) = -2a</u>
We have to find, f(-6)
So putting -6 in function

<u>2. k(x) = -3x^2+5x</u>
We have to find, k(-4)
So putting -4 in function

Keywords: Functions, values of functions
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The slope of the line is 1.
Find the slope intercept form equation by using the point slope formula which is y=x+1;)