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:
x = 66.74715005725
Step-by-step explanation:
First you bring over the added variable. 0.194185, and subtract it from 66. Then you divide your difference by 0.985897. This gives you 66.74715005725
5x−y=4
Solve for y
.
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y=−4+5x
Rewrite in slope-intercept form.
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y=5x−4
Use the slope-intercept form to find the slope and y-intercept.
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Slope: 5
y-intercept: (0,−4)
Any line can be graphed using two points. Select two x
values, and plug them into the equation to find the corresponding y
values.
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xy0−4450
Graph the line using the slope and the y-intercept, or the points.
Slope: 5
y-intercept: (0,−4)
xy0−4450
Answer:
k = -6.29
Step-by-step explanation:
91 - 2 + 7k + 1 = 46
add all like terms
90 + 7k =46
subtract
90 + 7k = 46
-90 -90
------------------------
7k = -44
divide
= 
(these arent fractions thats just how i divide things :))
= -6.28571428571
round to nearest hundredth
k= -6.29
goes up to 9 because 5 makes 8 go up one when rounding
sorry for asking so many questions. hope this helps
