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sergiy2304 [10]
3 years ago
9

A cube consists of twenty-seven 2×2×2-inch small cubes. All four of the corner cubes on the edge of the top layer fell off. Whic

h statement is true about the surface area of the resulting solid?
1. It is 32 cubic inches less than the surface area of the original cube.
2. It is 32 square inches greater than the surface area of the original cube.
3. It is 32 square inches less than the surface area of the original cube.
4. It is the same as the surface area of the original cube.
Mathematics
2 answers:
inysia [295]3 years ago
8 0

Answer:

its the same surface area ad the orginal cube

Step-by-step explanation:

if youre on ttm

timurjin [86]3 years ago
3 0
The answer should be<span> 4. Because in each cube you take from one corner,it seems like you lost 3 square shaped area but when you remove the cube, there occurs the hidden 3 square shaped area under that cube. So the surface area doesn't change. You should try to imagine the cube, it may help. </span>
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Which equation represents the line that is perpendicular to graph of 4x+3y=9 and passes through (-2,3)
goldfiish [28.3K]

4y = 3x + 18

Step-by-step explanation:

NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1

Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9

3y = -4x + 9

y = -4/3 x + 9/3

y = -4/3 x + 3

The slope of the  perpendicular line is, therefore;

¾  - this is the negative inverse of -4/3

Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;

i.e (0, y)

The other given point, where the line crosses  is (-2, 3). Remember that to get the gradient we use the formula;

Gradient = Δ y / Δ x

¾ = (3 – y) / (-2 – 0)

¾ = (3 –y) / -2  

¾ * -2 = 3 – y

-3/2 = 3 – y

-3/2 – 3 = -y

9/2 = y           ←– This is the y-intercept

Remember the function of a straight line is given;

y = mx + c (m being slope and c being y-intercept)

y = 3/4 x + 9/2

4y = 3x + 18

Learn More:

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Answer:

Step-by-step explanation:

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