No solution for the quadratic equation because of the √-20
Answer:
x = 5
Step-by-step explanation:
6 + 8(x - 1) = 2(3x + 4)
We evaluate the numbers in the brackets first.
(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)
6 + 8x - 8 = 6x + 8
The left hand side of the equation is not exactly simplified, so we will evaluate it further first.
(6 - 8 = -2)
8x - 2 = 6x + 8
Now we can start shifting the x and the numbers separately.
Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.
8x - 6x = 8 + 2
Further evaluation
2x = 10
Now we can simply find x.
Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.
x = 10 ÷ 2
Evaluate.
x = 5
Answer: yes the two sides of an equation always equal each other regardless of which side of the equal sign they are on.
Step-by-step explanation:
Answer: Rectangular Prism
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Explanation:
A rectangle is a four sided object that has all four angles at 90 degrees (aka right angles). Imagine that the cards are designed as such they do not have their corners rounded off, but each corner is a 90 degree angle. Stacking 52 congruent rectangles leads to a 3D solid known as a rectangular prism. The base is a rectangle that is congruent to any of the 52 cards. This stack must be aligned and not allowed to have any of the cards offset (ie forming a sort of "leaning tower"). You can think of a "rectangular prism" as a "box" which is probably a more common term for it; however, "rectangular prism" is probably what your teacher will want since it likely involves geometric terms you've learned in your lessons.
