Hello there! the answer would be x = 3/4.
You are given the two equations: 4x - 2y = 8 and y = 1/2x + 2. You are asked to solve via substitution. To do this, substitute the value of y in the second given equation into the first given equation, and solve using PEMDAS.
4x - 2(1/2x + 2) = 8 - Start by distributing 2 into (1/2x + 2).
4x - 1x + 4 = 8 - Combine like terms.
3x + 4 = 8 - Subtract 4 from both sides.
3x = 4 - divide both sides by 3.
x = 3/4. This is your final answer.
I hope this was helpful, have a great day! :)
Answer:
True
Step-by-step explanation:
Lines in three dimensions can be one of ...
- coincident
- parallel
- intersecting (at one point)
- skew
<h3>Coplanar</h3>
Lines are coplanar when a plane can be defined that includes the entirety of both of them. In the attached image, lines m₁ and n intersect and both lie in the gray plane. They are coplanar.
Lines m and m₁ are parallel, and both are contained in the turquoise plane. They are coplanar. A plane can always be drawn that will contain a pair of parallel lines. That is, any two parallel lines must be coplanar.
The lines m and n in the figure are <em>skew</em>, non-intersecting and non-parallel. They cannot be contained in a single plane.
__
<em>Additional comment</em>
Three or more parallel lines may not be coplanar. They will only definitely be coplanar when considered in pairs.
Answer:
The value of y is 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem the line passes through the origin
therefore
Is a proportional variation
Find the value of k
with the point 

The equation is equal to

so
For 
substitute

Answer: j = 13.5
Step-by-step explanation:
Answer:
46
Step-by-step explanation:
See attached for reference
<u>The points given:</u>
- (−6, −2), (0, −10), (5, 2), (−1, 10)
They form a rectangle as seen in the picture.
We can notice that this is a parallelogram, as respective lines have same difference of coordinates.
<u>So calculating only the two of the sides will be sufficient to get its perimeter:</u>
- a = √(-1+6)² + (10+2)² = √25+144 = √169= 13
- b = √(0+6)² + (-10+2)² = √36+64 = √100 = 10
<u>So, the perimeter:</u>