Answer:
The relation between polar and Cartesian coordinates are
r2=x2+y2
tan
θ
=
y
x
,
x
=
r
cos
θ
,
y
=
r
sin
θ
r
=
8
sin
θ
∴
r
⋅
r
=
r
⋅
8
sin
θ
or
r
2
=
8
r
sin
θ
∴
x
2
+
y
2
=
8
y
or
x
2
+
y
2
−
8
y
=
0
or
x
2
+
y
2
−
8
y
+
16
=
16
or
x
2
+
(
y
−
4
)
2
=
4
2
Rectangular form is
x2+(y-4)2=42
graph{x^2+(y-4)^2=16 [-20, 20, -10, 10
Step-by-step explanation:
i created it that way so yall will take a longer time to answer
Answer:
Equilateral Triangle
Side a = 1
Side b = 1
Side c = 1
Angle ∠A = 60° = 1.0472 rad = π/3
Angle ∠B = 60° = 1.0472 rad = π/3
Angle ∠C = 60° = 1.0472 rad = π/3
C=60°B=60°A=60°b=1a=1c=1
Area = 0.43301
Perimeter p = 3
Semiperimeter s = 1.5
Height ha = 0.86603
Height hb = 0.86603
Height hc = 0.86603
Median ma = 0.86603
Median mb = 0.86603
Median mc = 0.86603
Inradius r = 0.28868
Circumradius R = 0.57735
Vertex coordinates: A[0, 0] B[1, 0] C[0.5, 0.86603]
Centroid: [0.5, 0.28868]
Inscribed Circle Center: [0.5, 0.28868]
Circumscribed Circle Center: [0.5, 0.28868]
Step-by-step explanation:
To solve this system by substitution, we must substitute in the value we are given for x in terms of y (the first equation) into the second equation. This is modeled below:
x = -8y - 15
2x + 5y = -8
2 (-8y - 15) + 5y = -8
Now, we should solve this new equation for y. To begin, we should use the distributive property to get rid of the parentheses on the left side of the equation and begin the simplification process.
-16y - 30 + 5y = -8
Next, we can combine like terms on the left side of the equation by adding together the two terms that both contain the variable y.
-11y - 30 = -8
Next, we should add 30 to both sides in order to move all of the constant (number) terms to the left side of the equation.
-11y = 22
After that, we should divide both sides of the equation by -11 in order to get the variable y alone.
y = -2
Now, we can substitute our value for y back into one of our original equations (it doesn't matter which one you choose; they will yield the same answer).
x = -8y - 15
x = -8(-2) - 15
To simplify, we should following the order of operations outlined by PEMDAS and compute the multiplication and then the subtraction.
x = 16 - 15
x = 1
Therefore, the answer to the system is x = 1 and y = -2, or (1,-2) when written as an ordered pair.
Hope this helps!
1.5 cleaner / 12 cups of water
or
1.5 cleaner : 12 cups of water
to reduce this ratio of 1.5:12, we need to divide both by the same number
1.5 divided by 1.5 is 1
12 divided by 1.5 is 8
So the ratio of cleaner to water is 1:8 in its simplest form or 1 part cleaner to 8 parts water.
Hope this helps!! :)
