Let t = time
Between Rocky and Ken:
3000 + 3000(.10)(t)
Between Ken and Mike:
3000 + 3000(.12)(t)
Kens gain = The difference
Answer:
Step-by-step explanation:
we know that
The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side
In this problem
M is the mid-point segment AB
N is the mid-point segment BC
so
Applying the Midpoint Theorem
MN is parallel to AC
we have that
---> given problem
substitute
<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.
Answer:
2.95+0.14t=x
i think but ehhh, i am pretty sure about the constant but not to sure about the varibles
Answer:
21 adults and 139 children
Step-by-step explanation:
x=adult (8$)
y=child (5$)
8x + 5y =863
x+y=160
-x -x (subtract x on both sides)
y= -x + 160
plug that in for y on the other equation
8x + 5(-x + 160) =863
distribute 5 to both
8x + -5x + 800 = 863
combine both x values
3x + 800 = 863
-800 -800 (subtract on both sides)
3x = 63
divide by 3 on both sides
x = 21 adults
now plug x in one of the equations
21 + y = 160
-21 -21
y=139 children
