Answer:
The 3rd, 4th, and 6th are correct but I'm not sure if the second would be correct as well.
Step-by-step explanation:
N=8+d
10d+5n=145
divide 2nd equaiton by 5 to make nicer and easier
2d+n=29
subsitute 8+d for n in 2nd equation
2d+8+d=29
3d+8=29
minus 8 both sides
3d=21
divide by 3
d=7
sub back
n=8+d
n=8+7
n=15
15 nickles and 7 dimes
4/3 of the area of the larger hexagon to the area of the smaller hexagon
Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.
The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)
The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3
area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18
= 4/3
Required ratio = 4/3 answer
Learn more about Equations:
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Answer:
i got you :D
Step-by-step explanation:
f(x)= 2x²+4x-6 and g(x)=2x-2, find each function
1. (f/g) (x) = f(x)÷g(x) = (2x²+4x-6)÷(2x-2)
First factor both top and bottom:
(2x-2)(x+3)÷(2x-2) = x+3
2. f(a + 2) = plug (a+2) in anywhere there is an x in f(x)=2x²+4x-6 -->
2(a+2)^2 +4(a+2)-6 = 2(a^2+4a+4)+4a+8-6, now distribute:
2a^2+8a+8+4a+2, combine like terms
2a^2+12a+10
Answer:
Any negative and positive number can be your coordinates.
Step-by-step explanation:
As long as you don't have any restrictions as to what the coordinates can be, you're good to go!
Hope this helps!
