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KiRa [710]
2 years ago
11

What is the solution to the system? 8x + 4y = 12 y = -2x + 3

Mathematics
1 answer:
elena-s [515]2 years ago
6 0

Answer:

Step-by-step explanation:

use substitution and solve this 8x+4(-2x+3)=12

with the 4 distributed its

8x-8x+12=12

then you can cancel out the 8x and -8x and switch the 12 over into a -12 canceling out the 12s making it x=0

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Find the volume of the L shaped composite prism, show clearly how you got your answers
ruslelena [56]

9514 1404 393

Answer:

  510 cm³

Step-by-step explanation:

The overall height of the front face is 9+2 = 11 cm.

The overall width of the front face is 6+4 = 10 cm.

Out of that 11 cm by 10 cm rectangle, a cutout is made in the upper right corner. The area of that cutout (in the plane of the front face) is 2 cm high by 4 cm wide.

Then the area of the front face is ...

  (11 cm)(10 cm) -(2 cm)(4 cm) = 110 cm² -8 cm² = 102 cm²

The volume of the prism can be found using the formula ...

  V = Bh

where B is the area of the "base" of the prism, and h is its height. Here, the "base" is the front face, and the height is the dimension marked 5 cm. The volume is ...

  V = (102 cm²)(5 cm) = 510 cm³

The volume of the prism is 510 cm³.

3 0
3 years ago
What is the solution set for the open sentence with the given replacement set? 4y + 2 = 18, {4, 5, 6, 7}
4vir4ik [10]
+2 crosses the equal sign to become 4y=18-2,as 18-2=16 so you get 4y=16 and finally divide both sides by 4,as 4 goes into 16,4 times,therefore,y=4
6 0
3 years ago
Read 2 more answers
HELP NEEDED PLEASE!
Setler [38]

Answer:

54

Step-by-step explanation:

\frac{4}{3} \pi r^{3} =12\pi \\r=\sqrt[3]{9} \\surface area 4\pi r^{2} = 4\pi (\sqrt[3]{9} )^2=54.372 (3dp)

4 0
3 years ago
If a positive number a is 150 percent of 4p, and if p is
Andrej [43]
Sorry but this isnt even a full question.......
7 0
2 years ago
Pls help i will give brainliest
zlopas [31]
It is B because yiu solve
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