He measured the height of the box to be 7 in. Then<span>, </span>Stephan drew a line from the center of one of the hexagons to each of its vertices and noticed that<span> all .</span>
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx
so
That means it's the equation of a line passing through the origin.
case a) and case d) are discarded because the line does not pass through the origin
<u>case b) we have</u>
for x=2 y=4
y/x=k-------> 4/2=2------> k=2
y=2x-------> in this case the value of y is two times the value of x
<u>case c) we have</u>
for x=4 y=2
y/x=k-------> 2/4=1/2------> k=(1/2)
y=(1/2)x-------> in this case the value of y is one-half of the value of x
therefore
the solution is the case c) see the attached figure
<span> a⁴(3a² - 2a + 1)
We just have to multiply each term inside the parentheses by a⁴ .
a⁴</span><span>(3a² ) = 3a⁶
a⁴</span><span>( - 2a ) = -2a⁵
a⁴</span><span>( 1) = a⁴
Now, just addum up : 3a⁶ - 2a⁵ + a⁴</span>
Answer:
x=9/4
Step-by-step explanation:
we have:
(4x + 15) = 24
4x=24-15
4x=9
finally: x=9/4