Answer:
<h3>
"The answer is the yellow lines in the attached figure.
</h3>
Step-by-step explanation: As shown in the attached figure, regular hexagon FGHIJK and square ABCD shares common centre on the co-ordinate plane and AB || FG.
We are to find the line across which the combined figure will reflect onto itself.
In the attached figure, we see two lines which are yellow in colour. We can easily detect that the figure will be reflected onto itself if these two lines acts as a mirror separately.
Hence these yellow lines are the required lines."
<h3><u>
Hope this helps!</u></h3>
Volume of the cube with side 4p = 4p x 4p x 4p = 64p³
Volume of the cube with side 2q² = 2q² x 2q² x 2q² = 8q⁶
Total Volume = 64p³ + 8q⁶
Total Volume = (4p)³ + (2q²)³
Total Volume = (4p + 2q²)( ( 4p)² - (4p)(2q²) + (2q²)²)
Total Volume = (4p + 2q²)( 16p² - 8pq² + 4q⁴)
Answer: (4p + 2q²)( 16p² - 8pq² + 4q⁴)
Answer:
x = 2
Step-by-step explanation:
8x + 5 = 3x + 15
8x - 3x + 5 = 3x - 3x + 15
5x + 5 = 15
5x + 5 - 5 = 15 - 5
5x = 10
5x / 5 = 10 / 5
x = 2
Step-by-step explanation:
For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,
b^2 - 4ac must be positive.
b^2 - 4ac > 0
(k - 3)^2 - 4(3 - 2k) > 0
k^2 - 6k + 9 - 12 + 8k > 0
k^2 + 2k - 3 > 0
Answer:
L and W +5
Step-by-step explanation:
A1=15*12=180
A2=160+A1=340
340 factors
340,1,2,170,5,..., 20,17
20*17=340
|15-20|=5
|12-17|=5
add 5
