Answer:
Step-by-step explanation:
The point-slope form of an equation of a line:
<em>(x₁, y₁)</em><em> - point on a line</em>
<em>m</em><em> - slope</em>
<em />
We have
Substitute:
Convert to the standard form
<em> use the distributive property</em>
<em>add 5 to both sides</em>
<em>add 4x to both sides</em>
Answer:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula 
. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):
So, the slope of the line is 
.
2) Next, use the point-slope formula 
to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the 
, 
and 
into the formula.
Since represents the slope, substitute in its place. Since and represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:
Answer:
Step-by-step explanation:
ab < a
since a is negative, when you divide by a, you must change the direction of the inequality.
b > 1
Answer:
Step-by-step explanation:
The equation for a cylinder is the radius of the circle times pi squared, multiplied by the height. 3 squared is 9, times pi is 9(pi). If we multiply this by the height, the answer is 90(pi) centimeters in volume.
Answer:
∠ A ≈ 48°
Step-by-step explanation:
Using the Cosine rule to find an angle
cosA = 
with a = 10, b = 13 and c = 11
cosA = 
= 
= 
, thus
A = 
( ) ≈ 48° ( to the nearest degree )
