Q = 7m + 3n
R = 11 - 2m
S = n + 5
T = -m - 3n + 8
simplify Q + S - T
7m + 3n + n + 5 - (-m - 3n + 8) =
7m + 4n + 5 + m + 3n - 8
8m + 7n - 3 <====
Answer:
1024 in^2
Step-by-step explanation:
The approximate lateral area of the circular cone with has the base diameter 18 in and height 40 in long is 1,159 square inches
<h3>What is the lateral area of cone?</h3>
Lateral area of the cone is the area bounded by the surface of the cone, and this Lateral area of the cone can be found out using the following formula.
here. (<em>h</em>) is the height of the cone and (<em>r</em>) is the radius of the cone.
A cone has a circular base with a diameter of 18 inches. The height of the cone is 40 inches.
Put these values in the above formula as,
Hence, the approximate lateral area of the circular cone with has the base diameter 18 in and height 40 in long is 1,159 square inches
Learn more about the lateral area of the cone here:
brainly.com/question/858717
We know that the opposite is the additive inverse.
For example, 8+(−8)=0 where 0 is the identity for addition.
Given that we have to compute the sum of 5x+20 and the opposite.
Given
5x+20
opposite of 5x+20 = -(5x+20)
so
The sum of 5x+20 and the opposite:
5x+20 + -(5x+20)
Distribute the Negative Sign
Combine Like Terms
Therefore, the sum of 5x+20 and the opposite is: 0
Thus, the equivalent expression is:
Answer: length = 7 feet's
Width = 6 feets
Step-by-step explanation:
Perimeter of a rectangle is the distance round the rectangle.
Perimeter of rectangle is expressed as
2(length + width)
The perimeter of the given rectangle is 26 feet. Therefore
2(L + W) = 26
Dividing by 2,
L+W = 13
The area of a rectangle is expressed as length × width
The given area is 42 square feet. Therefore,
L×W = 42
Substituting L = 13 - W into LW = 42, it becomes
W(13-W) = 42
13W - W^2 = 42
W^2 -13W + 42 = 0
W^2 -7W - 6W + 42 = 0
W(W - 7) - 6(W - 7) = 0
(W-6)(w-7)=0
W-6 = 0 or W-7=0
W=6 or W = 7
L= 13-6 or L= 13-7
L= 7 or L = 6
