Answer:
Step-by-step explanation:
line of reflection: <em>a fixed line directly in the middle of the pre-image and the reflected image. </em>
perpendicular: <em>two lines meeting at a 90 degree angle</em>
bisector: <em>line that divides something into two equal parts</em>
pre-image: <em>the original figure before any transformation or translation has been made</em>
reflected image: <em>the original image after being reflected across the line of reflection.</em>
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Is the line of reflection a line running perpendicular, directly in the middle of the pre-image and the reflected image? Yes, always would be my answer.
This equation has some nested grouping symbols on the left-hand side. As usual, I'll simplify from the inside out. I'll start by inserting the "understood" 1 in front of that innermost set of parentheses:
3 + 2[4x – (4 + 3x)] = –1
3 + 2[4x – 1(4 + 3x)] = –1
3 + 2[4x – 1(4) – 1(3x)] = –1
3 + 2[4x – 4 – 3x] = –1
3 + 2[1x – 4] = –1
3 + 2[1x] + 2[–4] = –1
3 + 2x – 8 = –1
2x + 3 – 8 = –1
2x – 5 = –1
2x – 5 + 5 = –1 + 5
2x = 4
x = 2
It is not required that you write out this many steps; once you get comfortable with the process, you'll probably do a lot of this in your head. But until you reach that comfort zone, you should write things out at least this clearly and completely.
Always remember, by the way, that you can check your answers in "solving" problems by plugging the numerical answer back in to the original equation. In this case, the variable is only in terms on the left-hand side (LHS) of the equation; my "check" (that is, my evaluation at the solution value) looks like this:
LHS: 3 + 2[4x – (4 + 3x)]:
3 + 2[4(2) – (4 + 3(2))]
3 + 2[8 – (4 + 6)]
3 + 2[8 – (10)]
3 + 2[–2]
3 – 4
–1
Since this is what I was supposed to get for the right-hand side (that is, I've shown that the LHS is equal to the RHS), my solution value was correct.
Answer:
12
Step-by-step explanation:
If 6 people attend lunch and they get 2 cans of juice each then there is 12 cans of juice.
A=2
B=2
C=2
D=2
E=2
F=2
Total cans of juice=12
Well, you multiply 3 * 4 first, which is 12.
Then, multiply 12 * 6, which is 72. Finally, you just add 72 + 5,
And the answer is 77 / 6 as improper fraction.
Answer:
Step-by-step explanation: 40/45
