Answer:
x = 3
y = 0
z = 8
Step-by-step explanation:
a) 3x + 3y - z = 1
b) z = 8
c) -x -3y + 2z = 13
a) 3x + 3y - 8 = 1 (substitution)
a) 3x + 3y = 9
c) - x - 3y + 2(8) = 13 (substitution)
c) -x - 3y + 16 = 13
c) -x - 3y = -3
(3x + 3y = 9) + (-x -3y = -3)
= 2x = 6
x = 3
a) 3(3) + 3y - 8 = 1
9 + 3y - 8 = 1
y = (1 -9 + 8)/3
y = 0
A parallelepiped focuses on three-dimensional figures formed by six parallelograms.
<h3>How to explain the parallelepiped?</h3>
A parallelepiped shape has the following features
- They are three-dimensional figures
- They are formed by 6 parallelograms
- Opposite parallelograms are congruent
Think of a cube or a cuboid.
Notice that they contain squares and rectangles
A parallelepiped is to a parallelogram as a square is to a cube and a rectangle to a cuboid
Read more about parallelepiped at:
brainly.com/question/3050890
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Answer:
A
Step-by-step explanation:
3m+8=20
3m=20-8
3m=12
m=4
Answer:
$5
Step-by-step explanation:
medium popcorn- 2x
total - $23
large- 2x+3
23=4x+3
20=4x
x=5
Answer:
The solution to the inequality |x-2|>10 in interval notation is given by -8<x<12
Step-by-step explanation:
An absolute value inequality |x-2|>10 is given.
It is required to solve the inequality and write the solution in interval form.
To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.
Step 1 of 2
The given absolute value inequality is $|x-2|>10$.
The inequality can be written as
x-2<10 and x-2>-10
First solve the inequality, x-2<10.
Add 2 on both sides,
x-2<10
x-2+2<10+2
x<12
Step 2 of 2
Solve the inequality x-2>-10.
Add 2 on both sides,
x-2>-10
x-2+2>-10+2
x>-8
The solution of the inequality in interval notation is given by -8<x<12.
