C, because the line is vertical the x value must remain the same
The lid will have a base area of 55 1/4 square inches. The long sides of the lid will each have an area of 17 square inches. The short sides of the lid will each have an area of 13 square inches. The total surface area of the lid will be 115 1/4 square inches.
So, for the base, you have w = 6.5 and l = 8.5. Area = 6.5 * 8.5 = 55.25 = 55 1/4.
For the long sides, you have l = 8.5 and h = 2. Area = 8.5 * 2 = 17
For the short sides, you have w = 6.5 and h = 2. Area = 6.5 * 2 = 13
For the total surface area, you have one base which is 55.25, you have two long sides which are 2 * 17 = 34, and you have two short sides which are 2 * 13 = 26. 55.25 + 34 + 26 = 115.25 = 115 1/4.
Answer:
Normal Distribution
Step-by-step explanation: A normal distribution will generally have a bell shape. It is also called a bell curve, due to its bell shape.
It is also called Gaussian distribution. The point near the peak is where most of the observations cluster, while the values further away from the mean will be distributed equally in both directions on the curve.
Problem:
Solve
2
x
+
5
y
=
−
3
;
3
x
−
y
=
21
Steps:
I will try to solve your system of equations.
3
x
−
y
=
21
;
2
x
+
5
y
=
−
3
Step: Solve
3
x
−
y
=
21
for y:
3
x
−
y
+
−
3
x
=
21
+
−
3
x
(Add -3x to both sides)
−
y
=
−
3
x
+
21
−
y
−
1
=
−
3
x
+
21
−
1
(Divide both sides by -1)
y
=
3
x
−
21
Step: Substitute
3
x
−
21
for
y
in
2
x
+
5
y
=
−
3
:
2
x
+
5
y
=
−
3
2
x
+
5
(
3
x
−
21
)
=
−
3
17
x
−
105
=
−
3
(Simplify both sides of the equation)
17
x
−
105
+
105
=
−
3
+
105
(Add 105 to both sides)
17
x
=
102
17
x
17
=
102
17
(Divide both sides by 17)
x
=
6
Step: Substitute
6
for
x
in
y
=
3
x
−
21
:
y
=
3
x
−
21
y
=
(
3
)
(
6
)
−
21
y
=
−
3
(Simplify both sides of the equation)
Answer:
y
=
−
3
and
x
=
6
