Answer:
Choice B is correct
Step-by-step explanation:
Considering the equation is in standard form, the eccentricity of this conic section is 1/2. This implies that we are looking at ellipses. Alternative A is incorrect since the graph is that of a parabola. Alternative B represents an hyperbola.
From the equation, we can deduce that the ellipse has a directrix at x = -8 thus matching with graph B
Answer:
The value of a is 7.
Step-by-step explanation:
To calculate mean, add all of the numbers in the set and divide by the number of terms in said set. There are 7 numbers in this set, so the equation can be set up as follows.
(4 + 10 + 3 + 6 + a + 9 + 10)/7 = 7
Simplify the terms on the top.
(42 + a)/7 = 7
Multiply both sides by 7.
42 + a = 49
Subtract both sides by 42.
a = 7.
Proof:
(4 + 10 + 3 + 6 + a + 9 + 10)/7 = 7
Substitute variable.
(4 + 10 + 3 + 6 + 7 + 9 + 10)/7 = 7
Add in the parenthesis.
49/7 = 7
Divide.
7 = 7.
Answer:
0 meters
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
All the equations given are in slope- intercept form
y = 2x + 1 → with m = 2
y = 
x - 4 → with m =
y = x + 1 → with m = 1
y = - 
x - 3 → with m = -
y = 10 + x → y = x + 10 → with m = 1
Thus
y = x + 1 and y = 10 + x are Parallel since both have m = 1
y = 2x + 1 and y = - x - 3 are Perpendicular since 2 × - = - 1
