To solve this problem you must apply the proccedure shown below:
1- You have that the equation of the line is:
Where 
is the slope and
is the y-intercept.
2- Based on the information given in the problem, the lines 
and
are parallel, which means that both have the same slope. Therefore, you can calculate the slope of 
:
3- Use the coordinates of the point 
to calculate the y-intercept:
4. Solve for :
5. The equation of the line is:
The answer is:
Answer:
it's false
the true is -1/2
Step-by-step explanation:
-5/2-2+4=-1/2
Answer:
The width which gives the greatest area is 7.5 yd
Step-by-step explanation:
This is an application of differential calculus. Given the area as a function of the width, we simply need to differentiate the function with respect to x and equate to zero which yields; 15-2x=0 since the slope of the graph is zero at the turning points. Solving for x yields, x=7.5 which indeed maximizes the area of the pen
Answer:
Given the 2 values, height and the base, of these 2 triangles, we can assume that they are similar (meaning they share the same angles) as we have no other information to determine the height of the tree.
Therefore, if these triangles are similar, their corresponding sides are proportional. In other words, PZ/RT = QZ/ST or RT/PZ=ST/QZ
Hence, if we find the ratio of this, we can use it to find the side <em>h</em>
<em>QZ/ST=PZ/RT</em>
<em>48/12=PZ/4</em>
<em>PZ/4=48/12</em>
<em>(PZ/4)3=48/12</em>
<em>PZ(3)/12=48/12</em>
<em>48/3=16</em>
16=PZ.
3Step-by-step explanation:
