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saul85 [17]
3 years ago
5

Help me with question 32

Mathematics
2 answers:
Kipish [7]3 years ago
8 0
The answer is H i am possibly sure it is
4vir4ik [10]3 years ago
4 0
Line 1 has slope of 1 and y-intercept at 4
line 1 equation in y = mx + b form: y = x + 4

line 2 has slope of -1/2 and y-intercept of 1
you can calculate this using slope formula or count rise/run to get to next point:
like line 2 has points (-2, 2) and (0,1)

so slope = (1 - 2)/(0 - (-2) ) = -1/2

line 2 has y=mx+b form of y = -1/2x + 1

try to convert all the systems into y=mx+b form and see if they get our equations for lines 1 and 2:

line 1: y = x + 4
line 2: y = -1/2x + 1

for system F

4x + 2y = -18
2x - 2y = 9

if we try changing 4x + 2y = -18 to isolate y:

4x + 2y = -18
2y = -4x - 18
y = -4/2x - 18/2
y = -2x - 9

this choice is wrong since none of our slopes are 2

try system G:
2x + 4y = 6
-2x + 2y = 4

if we try changing 2x + 4y = 6 to isolate y

2x + 4y = 6
4y = -2x + 6
y = -2/4x + 6/4
y = -1/2x + 3/2

the graphs don't have y-intercept at 3/2 so this is wrong

try system H:
2x + 4y = 4
-2x + 2y = 8

if we try converting 2x + 4y = 4 we get

2x + 4y = 4
4y = -2x + 4
y = -2/4 x + 4/4
y = -1/2x + 1

This matches with line 2: y = -1/2x + 1 so try converting the other equation in this system to see if this is the right answer

-2x + 2y = 8
2y = 2x + 8
y = 2/2x + 8/2
y = x + 4

So H is the answer
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The area of the base of the prism is lxw, and the area of its opposite face is equal, so the area of those two equal faces is 2lw.
The area of the face in the left side of the prism is wxh, and the area of the face opposite to it is also equal, so their combined area is 2wh.
So, to find the total surface area of a rectangular prism, we’d add the sum of all the rectangular faces, so the formula of finding the surface area of a rectangular prism=
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Given,
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