u = 9 i - 6 j
v = -3 i - 2j
w = 19 i + 15 j
u • v = (9 i - 6 j) • (-3 i - 2j)
Distribute the dot products:
u • v = 9*(-3) (i • i) + 9*(-2) (i • j) + (-6)*(-3) (j • i) + (-6)*(-2) (j • j)
i and j are orthogonal unit vectors, so their dot products are 0, while i • i = j • j = 1. So we have
u • v = 9*(-3) + (-6)*(-2) = -27 + 12 = -15
In other words, the dot product can be computed by simply multiplying corresponding components, and taking the total.
u • w = 9*19 + (-6)*15 = 81
150
/ \
2 75
/ \
3 25
/ \
5 5
so <span> factorization is 2*3*</span>
Answer:
1:4. if simplified
Step-by-step explanation:
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Look at 2%2Ax%2B9=highlight_red%28+25+%29.
Moved these terms to the left highlight_green%28+-25+%29
It becomes 2%2Ax%2B9-highlight_green%28+25+%29=0.
Look at 2%2Ax%2Bhighlight_red%28+9+%29-highlight_red%28+25+%29=0.
Added fractions or integers together
It becomes 2%2Ax%2Bhighlight_green%28+-16+%29=0.
Look at 2%2Ax%2Bhighlight_red%28+-16+%29=0.
Removed extra sign in front of -16
It becomes 2%2Ax-highlight_green%28+16+%29=0.
Look at highlight_red%28+2%2Ax-16+%29=0.
Solved linear equation highlight_red%28+2%2Ax-16=0+%29 equivalent to 2*x-16 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=8.