In the formula of the distance between a point and a plane (not any plane but a plane parallel to the original one, equation [1] ), keeping <span>D=2</span>, and d as d itself, we get:
<span><span>D=<span><span>|a<span>x1</span>+b<span>y1</span>+c<span>z1</span>+d|</span><span>√<span><span>a2</span>+<span>b2</span>+<span>c2</span></span></span></span></span>
<span>2=<span><span><span>∣∣</span>1⋅0+2⋅0+<span>(−2)</span>⋅<span>(−<span>12</span>)</span>+d<span>∣∣</span></span><span>√<span>1+4+4</span></span></span></span>
<span><span>|d+1|</span>=2⋅3</span> => <span><span>|d+1|</span>=6</span>First solution:
<span>d+1=6</span> => <span>d=5</span>
<span>→x+2y−2z+5=0</span>Second solution:
<span>d+1=−6</span> => <span>d=−7</span>
<span>→x+2y−2z−7=<span>0</span></span></span>
Answer:
8/5 or 1 3/5
Step-by-step explanation:
so you would do 2/5+2/5+2/5+2/5
You would only add the 2s on top of each other to make it 8/5 or 1 3/5 of a pint
I = Prt
.. = 13,000*.15*4
.. = 7800
A) You will pay $7,800 in interest after 4 years.
B) You pay back the principal plus the interest.
.. $13,000 +7,800 = $20,800
No they are eaqure to each other.
Answer:
minimum -45, maximum 32
Step-by-step explanation:
C=4x-3y
x≥0, y≥4, x+y≤15
Maximum value of C can be achieved at max x and min y
Minimum value of C can be achieved at min x and max y
So answer is minimum -45, maximum 32
