To find the equation of the line, we are going to use the point-slope form, which is listed below:
is a point on the line
is the slope of the line
You may notice that we have a point, but no slope is given to us. However, the problem states that the line is parallel to the equation 
, which means that it has the same slope as this line, which is 3. (Remember that this line is set up in 
form, where is the slope)
Thus, we can now insert our values into the point-slope formula to find the equation of our line.
The problem made it clear that it didn't want the form , so let's put it in standard form:
The equation of our line is 
.
Answer:
$67.50
Step-by-step explanation:
To find the new price of the sneaker, you would multiply 54.00 by 1.25. (it's 1.25 because to do percents you would divide them by 100 to put them in decimal form.)
(a) Using the completing the square method, we need to write into the form of where , so
Expand to find the value of c
Notice that we get back the first two terms, the and the .We need to get rid of the last term of '9' as the term was not in the original form. The final form will look like
Hence,
(b)
(c) , square root both sides plus and minus of 2 Hence
Answer:
Perimeter: 26 units
Area: 24 units²
Step-by-step explanation:
12 + 9 + 5 = 26
A = 1/2BH
A = 1/2 12(4)
A = 1/2 48
A = 24
Answer:
the graph that best corresponds to the function in the given interval is the down left graph.
Step-by-step explanation:
Given : f(x)= [x]-3 and graph .
To find : Which graph represents the function on the interval [-3 , 3] ?
Solution : Let's evaluate the extremes of the interval in given function f(x).
X= -3, f( -3 )= [ -3 ] - 3 .
f( -3 ) = -6 .
X= 3, f( 3 )= [ 3 ] - 3 .
f( 3 ) = 0.
Therefore, the graph that best corresponds to the function in the given interval is the down left graph.
