Answer:
A polyhedron with 6 faces and 8 vertices has 12 edges.
Step-by-step explanation:
Euler Formula is given in the problem:
We are told that the polyhedron has 6 faces (F = 6) and 8 vertices (V = 8). The only unknown variable in Euler's Formula now is E = number of edges.
Substitute the known variables into the formula and <u>solve for E</u>.
- 6 + 8 = E + 2
- 14 = E + 2
- 12 = E
- E = 12
A polyhedron with 6 faces and 8 vertices has 12 edges.
Answer:
Yes, it is an Arithmetic Sequence
Step-by-step explanation:
Since the difference between any two consecutive terms is same (- 6). Hence, 37, 31, 25, 19 is an Arithmetic sequence.
X=-79/9 after you take away the one and divide
Answer:
Step-by-step explanation:
Since we are given a point and a slope, we should use the point-slope equation.
where <em>m</em> is the slope and (x₁, y₁) is the point the line passes through.
We are given the slope of 1/2 and the point (4, -3). Therefore:
Substitute the values into the formula.
Distribute the 1/2. Multiply each term inside the parentheses by 1/2.
We want to the equation of the line in slope-intercept form or y=mx+b. We need to isolate y. 3 is being added and the inverse of addition is subtraction. Subtract 3 from both sides of the equation.
The equation of the line is <u>y=1/2x-5</u>