Answer:
x = ± 
Step-by-step explanation:
-8 - 8x^2= -31
Since this is a quadratic, it needs to be factored.
First, move the x to the other side:
-8 = 8x^2 - 31
Then, get the x alone by first adding 31:
23 = 8x^2
then dividing by 8:
x^2 = 23/8
Finally, square root both sides and remember the even roots property:
x = ± 
and simplify the root 8:
x = ± 
Note: This answer may have a mistake.
Answer:
<h3>The answer is option D</h3>
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula

where
m is the slope
( x1 , y1) is the point
From the question the point is ( - 2 , -5) and slope 0 is
The equation of the line is

We have the final answer as
<h2>

</h2>
Hope this helps you
Answer:
y = 3x + 12
Step-by-step explanation:
Slope (m) = 24-9/4-(-1)
= 25/5
= 3
Using point (-1 , 9)
y - y1 = m (x - x1)
y - 9 = 3 (x - -1)
y - 9 = 3 (x + 1)
y - 9 = 3x + 3
y = 3x + 3 + 9
y = 3x + 12
Answer: Stephens dog weighs 60 pounds
Step-by-step explanation:
Answer:

Step-by-step explanation:
A <u>helix</u> is a curve for which the tangent makes a constant angle with a fixed line. The shortest path between two points on a cylinder (one not directly above the other) is a fractional turn of a helix, as can be seen by cutting the cylinder along one of its sides, flattening it out, and noting that a straight line connecting the points becomes helical upon re-wrapping (see attached diagram for helix).
The parametrization for the helix is

where
is the radius of the helix,
is the constant, and
is the parameter