Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
The formula of a slope:
Q1.
We have the equation of a line <em>p </em>in the standard form
Convert to the slope-intercept form:
<em>subtract 3x from both sides</em>
<em>divide both sides by (-3)</em>
The slope 
From the table we have the points (4, 3) and (7, 5). Calculate the slope of line <em>q</em>:
Divide the slope of <em>p</em> by the slope of <em>q</em>:
Q2.
Parallel line have the same slope. Therefore, if we have the equation of the line in the slope-intercept form, then we have the slope:
Q3.
Parallel line have the same slope.
Calculate the slope from given points (-11, 5) and (-6, 1):
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h. k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a = 
, thus
y = (x + 6)² - 1 ← in vertex form
Expand factor and simplify
y = (x² + 12x + 36) - 1 ← distribute
y = x² + 
x + 4 - 1
= x² + x + 3 ← in standard form
Horizontal, by the way don listen to that just trying to get points
F/3+36=c subtract 36 from both sides
f/3=c-36 multiply both sides by 3
f=3c-108
Answer:
There would be 94 tiles.
Step-by-step explanation:
The number of tiles is given by the following equation:
In which p is the current position.
How many tiles would there be in position 22?
This is n when 
. So
There would be 94 tiles.
