A proportion is an equation stating that 2 ratios are equal. One example of using them is in baking. An example of one would be:
Answer:
x=2
y=-8
Step-by-step explanation:
6x+3y=-12
-6x-2y=4
3y=-12-6x
y=(-12-6x)/3
y=-4-2x
substitute y
-6x-2(-4-2x)=4
-6x+8+4x=4
-2x=-4
x=2
6(2)+3y=-12
12+3y=-12
3y=-24
y=-8
check:
6(2)+3(-8)=-12
12-24=-12
-6(2)-2(-8)=4
-12=16=4
If u= (u1,u2,u3) andv= (v1,v2,v3), then the dot product of u and v is u·v=u1v1+u2v2+u3v3. For instance, the dot product of u=i−2j−3kandv= 2j−kisu·v= 1·0 + (−2)·2 + (−3)(−1) =−1.
Properties of the Dot Product.
Let u,v, and w be three vectors and let c be a real number. Then u·v=v·u,(u+v)·w=u·w+v·w,(cu)·v=c(u·v).
Further, u·u=|u|2.
Thus, if u=0is the zerovector, then u·u= 0, and otherwise u·u>0.1
Orthogonality Two vectors u and v are said to be orthogonal(perpendicular), if the angle between them is 90◦.Theorem. Two vectors u and v are orthogonal if and only if u·v= 0.
Answer:
Natural numbers between 
and 
is
(76 * 76) - (75 * 75)
=> 5776 - 5625
=> 151
Therefore, there are 151 natural numbers between and
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Answer:
√18
Step-by-step explanation:
