Answer:
Step-by-step explanation:
Choosing two points on the dotted line to find equation of line.
The points are:
and
Slope of line can be calculated as:
Using point slope equation to find equation of dotted line.
where represents slope of line and represents y-intercept.
The y-intercept for the dotted line = 6 as it intersects the y-axis at (0,6)
So, the equation of line is:
The dotted line indicates that the line is not included in the solution.
The solution of the inequality is below the dotted line, so thus it would be less than the line.
So, the inequality would be:
Answer:
Answer:
The cross product is 47 i - 61 j + 17 k.
Step-by-step explanation:
Given that-
a = < -1, -3, -8 > , b = < 7, 4, -5 >
The cross product is
a × b =\begin{gathered}\left[\begin{array}{ccc}i&j&k\\-1&-3&-8\\7&4&-5\end{array}\right]\end{gathered}⎣⎢⎡i−17j−34k−8−5⎦⎥⎤
= i ( - 3 × -5 - 4 × -8 ) - j ( -1 × -5 - (-8) × 7 ) + k ( -1 × 4 - 7 × -3 )
= i ( 15 + 32 ) -j ×( 5 + 56 ) + k ( -4 + 21 )
= i ( 47) - j (61 ) + k (17)
= 47 i -61 j + 17 k
As we know that if two vectors A & B are perpendicular then
A . B = 0
So here only the given vector b = < 7,4, -5> is perpendicular to the resulting vector .
Step-by-step explanation:
47, -61, 71>; yes
Answer:
in fractions: 0, 1/5, 2/5, 3/5, 4/5, 1 (5/5)
in percents: 0%, 20%, 40%, 60%, 80%, 100%
Step-by-step explanation:
all the fractions line up with the percents