It's just not realistic to present a list of 12 math questions and ask for the answers to all of them at once. Please post only one question at a time and please share your thoughts about how to solve that question.
I'll focus on one problem: <span>7 2/3 + 2 7/12
Here the LCD (lowest common denominator) is 12. 7 2/3 becomes 7 8/12.
Add 7 8/12 and 2 7/12:
7 8/12
+2 7/12
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9 15/12 15/12 is not a proper fraction. Write it as 1 3/12, or 1 1/4.
Then your 9 15/12 becomes (9+1) 1/4, or 10 1/4.</span>
The answer is in the photo
<h3>
Answer: orthogonal </h3>
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Explanation:
For any two vectors defined as follows
u = <a,b>
v = <c,d>
the dot product is computed by
u dot v = a*c + b*d
If the dot product of the vectors is 0, then the vectors are orthogonal. Meaning they are perpendicular to one another.
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Let's find the dot product of these two given vectors
u = < 2, -4 >
v = < 6, 3 >
u dot v = 2*6 + (-4)*3
u dot v = 12 - 12
u dot v = 0
Therefore, these two vectors form a right angle and are <u>orthogonal</u>
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Extra info:
If we can show that u = <a, b> and v = <ka, kb> for some real number k, then we have shown that vectors u and v are parallel.
5 x 3 = 15 + 1 = 16 feet
16 x 8 = 128 feet
128 / 3 = 42 yards 2 feet
Hope this helps!! :)
Hello,
y=-g/2 t²+25 t is the trajectoire with g=9.81 m/s²
y=-g/2 (t²-25*2/g t)
==>y=-g/2(t²-2*25/g t +25²/g²)+25²/g² * g/2
==>y=-g/2(t-25/g)²+25²/(2g)
==> h=25²/(2g)=625/(2*9.81*3.28084)=9,709479... feet
(for 1m=3.28084 feet)