Answer:
find the changing y and changing x
Step-by-step explanation:
then you'll get your answer find how many numbers those numbers are going up by
To solve the problem, do the problem in the parenthesis () then do your answer with the numbers outside the ().
(8-3) = 5 x 3 = 15
(6 + 4) = 10 / 2 = 5
(6 - 4) = 2 / 2 = 1
(6 x 4) = 24 / 2 = 3
Um... part of the (6 4) doesn't make sense... What goes between the numbers? Plus, minus, multiply or division sign? Please tell.
But, I already got you started off and I'll let you figure out the rest. (If you can not figure out the rest, please tell me what sign is between the 6 and 4 in (6 4) and then I'll give you the answer and a better explanation.)
I hope this helps! :D
Error is between steps 4 and 5. It should say:
Step 4: -9x < 27
Now divide by -9
Step 5: x > -3
Note that the inequality changes direction.
When you mean multiply or divide an inequality by a negative number, the inequality changes direction.
For example:
4 < 5
Multiply by -1:
-4 > -5
Another example:
-5 < 0
5 > 0
Answer: Choice C) 124 square cm
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Explanation:
Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5
A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.
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Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.
In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35
So
LSA = p*d
LSA = 11.35*10
LSA = 113.5
Add this LSA to the base area found earlier
10.5+113.5 = 124
The total surface area is 124 square cm