Answer:
The graph of y=5 is a horizontal line. The point (-4, 5) lies on the lines.
Step-by-step explanation:
This is horizontal because 5 on the y axis is always going to stay the same. For any x value, the y value is 5. Therefore, (-4, 5) is part of that line.
0.05n + 0.1d = 3.10
n + d = 44
d = 44 - n
Substituting to the first equation:
0.05n + 0.1(44 - n) = 3.10
0.05n + 4.4 - 0.1n = 3.10
-0.05n = 3.10 - 4.4
n = 26
Obtaining the value of nickels:
26 * 0.05 = 1.3
Therefore, the value of nickels that Bethany has is $1.30
Answer:
A) 147.6 sq m
Step-by-step explanation:
Separate the pyramided out into 4 triangles and add those
3 of them (sides) will be the same

This is one half of the side, multiply by 2 to get the area of the entire side, 40 square m.
The area of all 3 sides together is 40*3 = 120 sq m
For your base, your height will be 6.9 and your base is 4
A = 13.8 sq m
multiply by 2 again for the entire base
A=27.6 sq m
Now add both
120 + 27.6
Given:
The height of the given trapezoid = 6 in
The area of the trapezoid = 72 in²
Also given, one base of the trapezoid is 6 inches longer than the other base
To find the lengths of the bases.
Formula
The area of the trapezoid is

where, h be the height of the trapezoid
be the shorter base
be the longer base
As per the given problem,

Now,
Putting, A=72,
and h=6 we get,

or, 
or, 
or, 
or, 
or, 
So,
The shorter base is 9 in and the other base is = (6+9) = 15 in
Hence,
One base is 9 inches for one of the bases and 15 inches for the other base.