Answer:
Choice B is correct
Step-by-step explanation:
The eccentricity of the conic section is given as 4 and thus the conic section is a hyperbola. Hyperbolas are the only conic sections with an eccentricity greater than 1.
Next, the directrix of this hyperbola is located at y = -6 implying that the hyperbola will be opening upwards. Consequently, the polar equation of this hyperbola will be of the form;
The value of k in the numerator is the product of eccentricity and the absolute value of the directrix;
k= 4*6 = 24
The polar equation is thus given by alternative B
Answer: 
Step-by-step explanation:
Vertical Angles states that 9x+27=117
Supplementary Angles states that 117+z=180
![9x+27=117\\Subtract (27)\\9x=90\\Divide(9)\\\left[\begin{array}{c}x=10\end{array}\right] \\\\117+z=180\\Subtract(117)\\\left[\begin{array}{c}z=63\end{array}\right]](https://tex.z-dn.net/?f=9x%2B27%3D117%5C%5CSubtract%20%2827%29%5C%5C9x%3D90%5C%5CDivide%289%29%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%3D10%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C117%2Bz%3D180%5C%5CSubtract%28117%29%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dz%3D63%5Cend%7Barray%7D%5Cright%5D)
<em>Hope it helps <3</em>
Answer:
(A) y = 24
Step-by-step explanation:
Given GDEF is a parallelogram and m∠E = 108°
To find: value of y
In ║grm GDEF,
m∠D + m∠E = 180° (Consecutive angles of parallelogram are supplementary)
3y° + 108° = 180°
3y° = 180° - 108°
3y° = 72°
y = 72°/3 = 24°
Therefore, option (A) is the correct answer.
<h2><u>EQUATIONS</u></h2>
We'll solve this equation:
<h3>5x + 17 = 4(3x - 1)</h3>
First, let's apply the distributive property:
5x + 17 = 4(3x - 1)
5x + 17 = 12x - 4
Now, add 4 to both sides of the equation:
5x + 17 = 12x - 4
5x + 17 + 4 = 12x - 4 + 4
5x + 21 = 12x
Substract 5x from both sides:
5x + 21 = 12x
5x - 5x + 21 = 12x - 5x
21 = 12x - 5x
21 = 7x
Now, divide both sides by 7
21 ÷ 7 = 7x ÷ 7
<h3> 3 = x</h3>
Therefore, x = 3.
<h3>B. The equation has one solution.</h3>
X is how much Darcy has because she has the least. (x+20) is how much Jason has and 2(x+20) is how much Maria has.
x+(x+20)+2(x+20)=268
4x+60=268
4x=208
x= $52
Darcy has $52
Jason has $72
Maria has $144
