Number lines are used to represent numbers on a line at a regular interval.
<em>David's statement is correct, while Ashley is incorrect</em>
The expression is given as:
<u>Using number lines</u>
The end result on David's number line is 5.29, while the end result on Ashley's number line is 5.25
The correct result of the expression is 5.29 shows that David is correct
See attachment for the number lines that illustrate <em>David and Ashley's statements</em>
<u>Another way</u>
David's statement can be expressed as:
While, the expression for Ashley's expression is:
The original expression is:
By comparing the above expressions, we can conclude that <em>David is correct</em>
Read more about number lines at:
brainly.com/question/18611090
The slope-intercept form: y = mx + b
m - slope
b - y-intercept
We have -1/2(x + 4) = y - 2 <em>use distributive property</em>
(-1/2)(x) + (-1/2)(4) = y - 2
-1/2 x - 2 = y - 2 <em>add 2 to both sides</em>
-1/2 x = y → y = -1/2 x + 0
slope: m = -1/2
y-intercept: b = 0
x-intercept for y = 0. Substitute:
-1/2 x = 0 <em>multiply both sides by -2</em>
x = 0
<h3>Answer:</h3><h3>slope = -1/2</h3><h3>y-intercept = 0</h3><h3>x-intercept = 0</h3>
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2x - y = 4 <em>sutract 2x from both sides</em>
-y = -2x + 4 <em>change the signs</em>
y = -2x + 4
slope: m = -2
y-intercept: b = 4
x-intercept for y = 0. Substitute:
-2x + 4 = 0 <em>subtract 4 from both sides</em>
-2x = -4 <em>divide both sides by -2</em>
x = 2
<h3>Answer:</h3><h3>slope = -2</h3><h3>y-intercept = 4</h3><h3>x-intercept = 2</h3>
The right answer to that would be A
The reasonable estimate for the length of side DE is 3 units
Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.
Using the similarity theorem of a triangle, this is expressed as:
AC = DE
Using the pythagoras theorem to get the length of AC:
AB^2 = AC^2 + BC^2
5^2 + AC^2 + 4^2
AC^2 = 25 - 16
AC^2 = 9
AC= 3
Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units
Learn more on similar shapes here: brainly.com/question/14285697
