Answer:
Choice D is correct
Step-by-step explanation:
The first step is to write the polar equation of the conic section in standard form by dividing both the numerator and the denominator by 2;
The eccentricity of this conic section is thus 1, the coefficient of cos θ. Thus, this conic section is a parabola since its eccentricity is 1.
The value of the directrix is determined as;
d = k/e = 3/1 = 3
The denominator of the polar equation of this conic section contains (-cos θ) which implies that this parabola opens towards the right and thus the equation of its directrix is;
x = -3
Thus, the polar equation represents a parabola that opens towards the right with a directrix located at x = -3. Choice D fits this criteria
Answer:
She paid back $192 in interest
Step-by-step explanation:
A = P(1+r)^n
P = $1,200
r = 10.5% = 0.105
n = 18 months = 18/12 = 1.5 years
A = 1,200(1+0.105)^1.5 = 1,200(1.105)^1.5 = 1,200×1.16 = 1,392
Amount = $1,392
Principal = $1,200
Interest = amount - principal = $1,392 - $1,200 = $192
Answer:
Blue Rectangle: <u>135 mm²</u>
Blue Triangle: <u>45 mm²</u>
<em>Not sure if you need this but the </em>Total Square: <u>225 mm²</u>
Step-by-step explanation:
Area of a rectangle: <u>length x width</u>
Area of a triangle: 
<u> x base x height</u>
First find the area of the blue rectangle.
Length = 15 mm
Width = 9 mm
Area = 135 mm²
Now find the area of the blue triangle:
Base = 6 mm (because the bottom is 15 total and you subtract the 9)
Height = 15 mm
Area = 45 mm²
Hope it helps!
Answer:
The exponent is 2.
Step-by-step explanation:
Remember multiplicity rules:
- If a factor has an odd multiplicity (e.g. it is raised to 1, 3, 5...) then it will cross the x-axis.
- If a factor has an even multiplicity (e.g. it is raised to 2, 4, 6...) then it will bounce off the x-axis.
At x=2, we have the factor (x-2).
From the graph, we can see that the graph bounces off at that point.
Hence, the multiplicity of (x-2) must be even.
Therefore, a possible exponent for the factor (x-2) is 2. Any even number will suffice.
Hope you could understand.
If you have any query, feel free to ask.
