Answer:
10 edges
Step-by-step explanation:
we know that
The Euler's formula state that: In a polyhedron, the number of vertices, minus the number of edges, plus the number of faces, is equal to two
in this problem we have
substitute the given values
solve for E
Combine like terms in the left side
subtract 12 both sides
Multiply by -1 both sides
Answer:
y=9
Step-by-step explanation:
4y-7=29
(add 7 to both sides)
4y=36
(divide both sides by 4)
y=9
Step-by-step explanation:
Put y's on the one side and divided by what they have in the front so it would be
y=2x-4
and
y=x+2
and they y intercept for first one is -4
and slope is 2 which it goes up twice and goes right once because its positive
second one, y intercept is 2
and slope is 1 goes one up and one right because it is positive
Answer:
(5x + 7y)(25x² - 35xy + 49y²)
Step-by-step explanation:
125x³ + 343y³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b² )
125x³ = (5x)³ ⇒ a = 5x
343y³ = (7y)³ ⇒ b = 7y
125x³ + 343y³
= (5x + 7y)((5x)² - (5x × 7y) + (7y)²)
= (5x + 7y)(25x² - 35xy + 49y²) ← in factored form
