Answer: c = -4 and d= 6
Explanation:
8 - 2d = c
4c + 3d = 2
Solve using the substitution method . Substitute the value of C in the first equation into the second equation and solve for d.
4(8- 2d) + 3d = 2 First apply the distributive property
32 - 8d + 3d = 2 Combine like terms on the left side
32 - 5d = 2 Subtract 32 from both sides
-32 -32
-5d = -30 Now divide both sides by 5
d = 6
Since the value of d is 6, input it into one of the equations to solve for c.
8 - 2(6) = c
8 - 12 = c
c = -4
Option C) 120cm² is the correct answer.
Hence, the lateral surface area of the rectangular prism in 120cm².
This question is incomplete, the complete question is;
Find the lateral surface area of the rectangular prism in centimeters.
L=4, W=3, H=9
A) 96 cm2 b) 108 cm2 c) 126 cm2 d) 142 cm2.
<h3>Rectangular prism</h3>
A rectangular prism or Cuboid is simply a three dimensional solid shape with six faces that are rectangles.
The lateral surface area of the rectangular prism is the perimeter of the base multiply by the height of the prism. It is expressed as:
To determine the lateral surface area of the rectangular prism, we substitute our given values into the above expression.
Option C) 120cm² is the correct answer.
Hence, the lateral surface area of the rectangular prism in 120cm².
Learn more about lateral surface area: brainly.com/question/14001755