The y is the same for both equations. Equate them
-x - 5 = 2x + 4 Add x to both sides
- 5 = 3x + 4 Subtract 4 from both sides.
- 9 = 3x Divide by 3
x = -9 / 3
x = - 3
y = - x - 5
y = -(-3) - 5
y = - 2
So that point is where the two equations meet.
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y = -x - 5; y = 2x + 4 Note the semi colon in the middle.
To the moderator: This is my own work. I'm using Wolfram to get the answer.
Answer:
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Answer:

Step-by-step explanation:
<u><em>The question in English is:</em></u>
From the general term, calculate the first 4 terms.
(Consider that you must assign values to the variable n)
we have

step 1
Calculate the first term
For n=1

step 2
Calculate the second term
For n=2

step 3
Calculate the third term
For n=3

step 4
Calculate the fourth term
For n=4

therefore
the first 4 terms are

The total surface area of the remaining solid is 48(4+✓3) centimeters square.
<h3>How to calculate the surface area?</h3>
Through a regular hexagonal prism whose base edge is 8 cm and the height is 12 cm, a hole in the shape of a right prism.
The formula for the total surface area will be:
= Total surface area=2(area of the base)+ parameter of base × height
where,
Height= 8cm
Parameter of base=12(2) = 24
Area of the base= 6×✓3/4×4² = 64✓3/4
The surface area of the remaining solid will be:
= 2(64✓3/4) + 24 × 8
= 2(64✓3/4 + 192
With the hole is a rhombus prism with the following parameters:
diagonal 1 = 6, diagonal 2 = 8, height = 12
The volume is:
V1 =0.5 × d1 × d2 × h
V1 = 0.5 × 6 × 8 × 12
V1 = 96
The dimensions of the hexagonal prism are:
Base edge (a) = 8
Height (h) = 12
The volume is
V2 = (3✓(3)/2)a²h
V2 = (3✓3)/2) × 8² × 12
V2 = 1152✓3
The remaining volume is
V = V2 -V1
V = 1152✓3 - 96
Learn more about the hexagonal prism on:
brainly.com/question/27127032
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