The expression of X in terms of l is X = √5 l
<h3>How to calculate the diagonal of a rectangle</h3>
According to the given information:
- Length = w
- If length<u> l is twice as long </u>as the width, then l = 2w
Determine the diagonal using the Pythagoras theorem:
X² = w²+(2w)²
X² = w² + 4w²
X =√5w²
X = √5 w
Replace w with l
X = √5 l
Hence the expression of X in terms of l is X = √5 l
Learn more on diagonals here: brainly.com/question/26154016
The expression re-written: 3(2) - 4(3)
First, we multiply (PEMDAS)
3 * 2 = 6
4 * 3 = 12
6 - 12 = -6
Answer: - 6
Answer:
Blue Line’s Slope: -4/2
Green Line’s Slope: -4/2
Step-by-step explanation:
The slope of the line is the rise over run, or in this case the fall over run.
<h2><u>Hope This Helped!</u></h2>
Slope intercept form of a line is y=mx+b where m= slope and b=y-intercept.
Now compare this form with the tiven equation y=4x-9 to get the value of m.
So, m= 4.
Slope of all parallel lines are always equal. Which means the line which is parallel to this has also the same slope: m=4.
Now we need to find the value of b to get the equation. That parallel line passes through (-5,3).
The point intercept form of a line is,
(y-y1)=m(x-x1)
So, we can plug in the m=4, x1=-5 and y1=3 in the above equation. Hence,
y-3=4(x-(-5))
y-3=4(x+5) Since -(-5)=+5
y-3=4x+20 By distributing property.
y=4x+20+3 Adding 3 to each sides.
y=4x+23
So, the slope-intercept form of that parallel line is y=4x+23.
