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
Answer:
To make this easier, first draw or imagine a vertical line at x=2
Find where the vertical line and the graph intersects.
Draw or imagine that point of intersection.
Now, draw or imagine a horizontal line that goes through the point of intersection.
That horizontal line tells us the the value of the function by passing through that mark that says "-2"
The function's value at x=2 is -2.
Have an awesome day! :)
Step-by-step explanation:
Answer:
Vertex form:
The vertex is ![(-\frac{1}{2},-\frac{29}{4})](https://tex.z-dn.net/?f=%28-%5Cfrac%7B1%7D%7B2%7D%2C-%5Cfrac%7B29%7D%7B4%7D%29)
Step-by-step explanation:
For a general quadratic function the form is:
For the function
The values of the coefficients for the function are the following:
,
,
Take the value of b and divide it by 2. Then, the result obtained squares it.
Add and subtract
Write the expression of the form
The vertex is (h, k)
The vertex is: ![(-\frac{1}{2},-\frac{29}{4})](https://tex.z-dn.net/?f=%28-%5Cfrac%7B1%7D%7B2%7D%2C-%5Cfrac%7B29%7D%7B4%7D%29)
Answer:
x = 4
Step-by-step explanation:
1.3x - 10 = 0.8x - 8
Add 10 to both sides.
1.3x = 0.8x + 2
Subtract 0.8x from both sides.
0.5x = 2
Divide by 0.5.
x = 4.
Proof:
1.3x - 10 = 0.8x - 8
1.3(4) - 10 = 0.8(4) - 8
5.2 - 10 = 3.2 - 8
-4.8 = -4.8