Answer:
See explaination for the prove of the statement.
Step-by-step explanation:
To establish this prove, lets refer back to what we already know.
We know that "If the set of reactions {d1,d2,d3,......dn} in a vector space V over a field f be linearly dependent, then atleast one of the vectors of the set can be expressed as a linear combination of the remaining others.
Please kindly go to attachment for a detailed step by step explaination of the prove.
Let the value of the number be represented as x.
Then, write out an equation;
3x=2x+3 <--- Solve for x now
3x-2x=3
x=3
Therefore the number is 3.
Hope I helped :)
<span>The graph would be translated 5 units right and 1 unit up, giving an upward facing parabola with a vertex at (5, 1).
Explanation:
Since 5 was subtracted from x before it was squared, this means a horizontal translation 5 units. Since it was subtracted, this means it was translated right 5 units.
The 1 added at the end means it was translated 1 unit up as well.
This is in vertex form, y=a(x-h)^2 + k, where (h, k) is the vertex; h corresponds with 5 and k corresponds with 1, so the vertex is at (5, 1).</span>
The answer is 250 cm³
We need to calculate V = Vr - Vp
V - the <span>volume of the space outside the pyramid but inside the prism
Vr - the volume of the rectangular prism.
</span>Vp - the volume of the pyramid<span>
Vr = w * l * h
w = l = 5 cm
h1 = 12 cm
Vr = 5 * 5 * 12 = 300 cm</span>³<span>
Vp = w * l * h / 3
w = l = 5 cm
h2 = h1/2 = 12/2 = 6 cm
Vp = 5 * 5 * 6 / 3 = 50 cm</span>³
V = Vr - Vp = 300 cm³ - 50 cm³ = 250 cm³
300.50 (assuming the first x means multiplication )
