Answer:
-4x<16 the sign flips if you divide by a negative
Step-by-step explanation:
4x<-16
x<-4
but
-4x<16
x>-4
We are given
equation of line as

we will check each options
option-A:
we can plug (3,1)
x=3 and y=1


we can see that
they are not equal
so, this is FALSE
option-B:
we can plug (-1,-2)
x=-1 and y=-2


we can see that
they are equal
so, this is TRUE
option-C:
we can plug (-3,4)
x=-3 and y=4


we can see that
they are not equal
so, this is FALSE
option-D:
we can plug (2,6)
x=2 and y=6


we can see that
they are not equal
so, this is FALSE
The answer is B. To find the Circumference (what you're looking for) you use 2×pi×radius. Which is 2×pi×7. In terms of pi that's just 2×7, which equals 14. So that means your answer is 14pi.
Answer:
-1/4
Step-by-step explanation:
We can find the slope of a line given two points by using
m = (y2-y1)/(x2-x1)
= (-2- -1)/( -4 - -8)
= (-2+1)/(-4+8)
= -1/4
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>