Answer:
1) 15a - 15c + 3
2) -7n + 31 + 13m + 7p or 13m - 7n + 7p + 31
3) 44x + 6y + 3
4) 9m - 6n + 23
Step-by-step explanation:
1. Add like terms. 6a + 9a=15a. -8c - 7c=-15c
2. Add like terms. You can rearrange them in descending order based off of exponents and variables.
3. Multiply what's in parentheses first (distribute the 6). It should end up being (6y + 42x). Then you add like terms and put in descending order.
4. Distribute the (-3) to what in the parentheses. It should end up being (-6n + 15 - 3m). Then you add like terms and put the expression in descending order.
V=LWH (multiply the length, width and height)
So plug in the numbers, V=6x14x10=840 ft^3 (feet cube)
Answer:
Euler's Formula states that:
V -E +F = 2 meaning that the vertices minus the edges plus the faces of a convex polyhedron will always equal two.
So, for the initial question, we have 40 edges and 24 faces.
So, vertices = 2 + Edges -Faces
Vertices = 2 + 40 - 24
Vertices = 18
Source: https://www.1728.org/platonic.htm
Step-by-step explanation:
*The missing image is attached with the answer*
The correct answer is:
Height = h =5 unitsExplanation:a = 6 = Smaller base
b = 10 = Larger base
h = height
Area = A = (a + b)h/2 = 40
Plug in the values in the above equation:
h = (2*40)/(6+10)
h = 5 units
Answer:
90 deg
Step-by-step explanation:
Recall that for a rhombus, the diagonals always intersect at right angles.
Hence angle PXM is 90 deg