1 is the answer because it is
Answer: I see you have already marked most of these correctly, the permiter of #4 is 28
Step-by-step explanation:
6: Perimeter: 34 Area: 60
7: 340 / 17 Length of base = 20
8: 221 / 17 Length of base = 13
That is system of equation.
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
About Slope - Intercept Form:
- y = mx + b
- m is the slope
- b is the y-intercept
About Standard Form:
- Ax + By = C
- A & B & C are integers
- A & B are both non-zero
- This form is good to use when wanting to find the x & y intercepts of a line
About Point - Slope Form:
- Y - Y1 = m (x -X1)
- Y1 & X1 is a point on the line
- The form allows you to identify the slope & the point on the line
Other Info:
- Remember, y comes before the x
- An ordered pair from your problem: (-3,1), -3 is x & 1 is y & x is before the y
- An ordered pair from your problem: (3,5), 3 is x & 5 is y & x is before the y
- For the graph, the vertical line is y
- For the graph, the horizontal line is x
Hope this information helps!!! :)
