Answer: y = x - 5
<u>Step-by-step explanation:</u>
"Eliminate the parameter" means we want to eliminate the <em>extra </em>variable and rewrite it ias one equation that only contains x, y, <em>and possibly a constant.</em>
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The extra variable in the equations is "t". Manipulate one of the equations to solve for t². Then substitute t² = _____ it into the other equation.
x = t² + 3 → x - 3 = t²
y = t² - 2
y = (x - 3) - 2
y = x - 5
For this case we have the following equation:
r = 9 sin (θ)
In addition, we have the following change of variables:
y = r * sine (θ)
Rewriting the equation we have:
r = 9 sin (θ)
r = 9 (y / r)
r ^ 2 = 9y
On the other hand:
r ^ 2 = x ^ 2 + y ^ 2
Substituting values:
x ^ 2 + y ^ 2 = 9y
Rewriting:
x ^ 2 + y ^ 2 - 9y = 0
Completing squares:
x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
Rewriting:
x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
The Cartesian equation is:
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
Substitute the given value into the function and evaluate.
Substitute the given value into the function and evaluate.
3 tan (
8
) < − 1 = 0.4216225 < − 1
0 = 0.4216225 < − 1
5 = 0.4216225 < − 1
521 = 0.4216225 < − 1
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
RSQ is a right anle triangle
tan(Q) = opposite/adjacent
tan(Ql = SR/QS
tan(Q = 12/5 = 2.4
Answer:
Step 4 is incorrect he did not divide correctly from step3 to step 4
Step-by-step explanation:
The circumference of a circle is
C = 2 * pi *r
We know the circumference is 12 pi
12pi = 2 pi *r
Divide each side by 2 pi
12 pi/2pi = 2pi r/ 2pi
6 = r
From step 3 The student did not cancel the pi in the top and the bottom on the right hand side to isolate r
In step 4 he got 6 =pi r instead of pi
