The value of x that will make the lines parallel is 8
<h3>Corresponding angles </h3>
If the line m and n are parallel to each other hence the given angles will be corresponding angles.
Since they are corresponding angles, hence:
2x² = 128
x² = 128/2
x² = 64
x = √64
x = 8
Hence the value of x that will make the lines parallel is 8
Learn more on corresponding angles, here: brainly.com/question/2938476
The distance is 21km because it says each square is 1km and if you count along the squares there are 21
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Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0).
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
where two points that fall on the line are 
and 
Plug in the given points (4, -6) and (0, 2):
Therefore, the slope of the line is -2. Plug this into :
<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>
The y-intercept occurs when x=0. We are given that (0,2) falls on the line, so therefore, 2 is the y-intercept. Plug this into :
I hope this helps!
The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.
We have given that,
A line that has a gradient of 2 and passes through the line (1, 4).
We have to determine the equation of the line,
<h3>What is the gradient?</h3>
The gradient also known as the slope is the defined as
Gradient (m) = change in y coordinate / change in x coordinate
The equation of a line passing through a given point is given by the following equation
y – y₁ = m(x – x₁)
How to determine the equation of the line passing through point (1,4)
x coordinate (x₁) = 1
y coordinate (y₁) = 4
Gradient (m) = 2
Equation =
y – y₁ = m(x – x₁)
y – 4 = 2(x – 1)
Clear bracket
y – 4 = 2x – 2
Make y the subject by adding 4 to both sides
y – 4 + 4 = 2x – 2 + 4
y = 2x + 2
The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.
To learn more about the line visit:
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Answer:
0.4
Step-by-step explanation:
2 x (-0.2) + (-0.2) + 1
- 0.4 - 0.2 + 1
-0.6 + 1
= 0.4
