Answer:
Step-by-step explanation:
The octahedron is formed from 2 congruent square pyramids.
Since each die has the shape of an octahedron, we would determine its volume by applying the formula for determining the volume of an octahedron which is expressed as
Volume = (a³√2)/3
Where
a represents the length of each edge.
From the information given,
a = 1 cm
Therefore,
Volume = (1³√2)/3 = 0.471 cm³
5 - 4 + 7x + 1 = 7x + (5 - 4 + 1) = 7x + 2
NO SOLUTIONS:
<em>5 - 4 + 7x + 1 = 7x + a </em><em>(a - any real number, except 2)</em>
ONE SOLUTION:
<em>5 - 4 + 7x + 1 = bx + c </em><em>(b - any real number, except 7, c - any real number)</em>
INFINITELY MANY SOLUTIONS:
<em>5 - 4 + 7x + 1 = 7x + 2</em>
Examples:
2x + 3 = 2x + 5 <em>subtract 2x from both sides</em>
3 = 5 FALSE <em>(NO SOLUTIONS)</em>
2x + 3 = x - 4 <em>subtract x from both sides</em>
x + 3 = -4 <em>subtract 3 from both sides</em>
x = -7 (<em>ONE SOLUTION)</em>
2x + 3 = 2x + 3 <em>subtract 2x from both sides</em>
3 = 3 TRUE <em>(INFINITELY MANY SOLUTIONS)</em>
You multiply the 3 values. I would first multiply 1/2 x 12, which = 6, then multiply 6 x 35, which = 210
Answer:
B
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 3 and (a, b) = (7, - 2 ), thus
y - (- 2) = - 3(x - 7) , that is
y + 2 = - 3(x - 7) → B