We can see the sequence goes by decreasing 9 on each number
so the numbers are
2, -7, -16, -25, -34, -43, -52, -61, -70
so adding all these numbers we get
2-7-16-25-34-43-52-61-70
= -306
hope this helped
Answer:
d = 19 mi
Step-by-step explanation:
Total dist = bike dist + train dist
d = 12(.5) + 20(.5)
d = 6 + 13
d = 19 mi
Find the perimeter of the scale artwork
P=2(l+w)
P=2(2.5+1.75)
=2(4.25)= 8.5 in
1 in = 0.5 ft
8.5in = 0.5(8.5)
=4.25ft = 51 in
the actual perimeter is 51 in or 4.25 ft
To find W⊥, you can use the Gram-Schmidt process using the usual inner-product and the given 5 independent set of vectors.
<span>Define projection of v on u as </span>
<span>p(u,v)=u*(u.v)/(u.u) </span>
<span>we need to proceed and determine u1...u5 as: </span>
<span>u1=w1 </span>
<span>u2=w2-p(u1,w2) </span>
<span>u3=w3-p(u1,w3)-p(u2,w3) </span>
<span>u4=w4-p(u1,w4)-p(u2,w4)-p(u3,w4) </span>
<span>u5=w5-p(u4,w5)-p(u2,w5)-p(u3,w5)-p(u4,w5) </span>
<span>so that u1...u5 will be the new basis of an orthogonal set of inner space. </span>
<span>However, the given set of vectors is not independent, since </span>
<span>w1+w2=w3, </span>
<span>therefore an orthogonal basis cannot be found. </span>
