Answer:
Distribute 2 to (x + 6) and 3 to (x - 4)
Step-by-step explanation:
2(x + 6) = 3(x - 4) + 5
The first step is to distribute on both sides
2x+12 = 3x-4 +5
We have to distribute to all terms inside the parentheses
The next step she should take is to draw arcs above and or below line AB to show where the triangles sides meet.
<h3>Steps in construction of an equilateral triangle</h3>
The steps involved in the construction of an a equilateral triangle are:
- Place the compass point on A and measure the distance to point B
- Swing an arc of this size above or below of the segment.
- Do not change the span on the compass
- Then place the compass point on B and swing the same arc, intersecting with the first arc
- Label the point of intersection as the third vertex of the equilateral triangle.
Thus, the next step she should take is to draw arcs above and or below line AB to show where the triangles sides meet.
Learn more about construction of an equilateral triangle here:
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The equation of the line in standard form is x + 4y = 8
<h3>How to determine the line equation?</h3>
From the question, the points are given as
(0, 2) and (8, 0)
To start with, we must calculate the slope of the line
This is calculated using
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (0, 2) and (8, 0)
Substitute the known parameters in Slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
Slope = (0 - 2)/(8 - 0)
Evaluate
Slope = -1/4
The equation of the line can be calculated using as
y - y₁ = m(x + x₁)
Where
(x₁, y₁) = (0, 2)
and
m = slope = -1/4
Substitute the known values in the above equation
So, we have the following equation
y - 2 = -1/4(x - 0)
This gives
y - 2 = -1/4x
Rewrite as
1/4x + y = 2
Multiply by 4
x + 4y = 8
Hence, the line has an equation of x + 4y = 8
Read more about linear equations at
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What are you looking for because you can not simplify those
Since the positive 4 is the on the y-axis and is changed to a -7 which is a smaller number than positive 4 the graph would be shifted down
