Answer:
The required equation of the graph with the coordinates of (4, -1) will be:
The graph is also attached.
Step-by-step explanation:
Given the coordinates (4, -1)
If we put the coordinate values (4, -1) in the given equations, we determine that only
is the valid equation as it satisfies the given coordinate value.
For example, putting (4, -1) in the equation




So, the equation
is true for the coordinate values (4, -1).
Therefore, the required equation of the graph with the coordinates of (4, -1) will be:
Please check, the graph is also attached.
Answer:
6
Step-by-step explanation:
<u>Given</u>:
The length of DE is 8 cm and the measure of ∠ADE is 60°.
We need to determine the surface area of the pyramid.
<u>Length of AD:</u>
The length of AD is given by


Length of AD = 8 cm
<u>Slant height:</u>
The slant height EF can be determined using the trigonometric ratio.
Thus, we have;




Thus, the slant height EF is 4√3
<u>Surface area of the square pyramid:</u>
The surface area of the square pyramid can be determined using the formula,

Substituting the values, we have;




The exact form of the area of the square pyramid is 
Substituting √3 = 1.732 in the above expression, we have;


Rounding off to one decimal place, we get;

Thus, the area of the square pyramid is 174.8 cm²
Because you can have a negative inside the absolute value so even if it is inside the absolute value of -3 will come out as 3.