Answer:
positive
Step-by-step explanation:
the discriminant of the function is postive.
because from the graph we notice that it has 2 intercepts on x-axis, which means the function has 2 real solution when y=0
that implies the discriminant is positive.
![\Delta = \sqrt{b^2-4ac}](https://tex.z-dn.net/?f=%5CDelta%20%3D%20%5Csqrt%7Bb%5E2-4ac%7D)
if
we have 2 distinct real solution
if
we have no real solution but 2 complex solutions
if
we have 2 identical real solution
The length of side walk is 500 feet
<em><u>Solution:</u></em>
Given that, A rectangle park measures 300 ft by 400 ft
Length = 300 feet
Width = 400 feet
A sidewalk runs diagonally from one comer to the opposite corner
We have to find the length of side walk
Which means, we have to find the length of diagonal of rectangle
<em><u>The diagonal of rectangle is given by formula:</u></em>
![d = \sqrt{w^2+l^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7Bw%5E2%2Bl%5E2%7D)
Where,
d is the length of diagonal
w is the width and l is the length of rectangle
<em><u>Substituting the values in formula, we get</u></em>
![d = \sqrt{400^2+300^2}\\\\d = \sqrt{160000+90000}\\\\d = \sqrt{250000}\\\\d = 500](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B400%5E2%2B300%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B160000%2B90000%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B250000%7D%5C%5C%5C%5Cd%20%3D%20500)
Thus length of side walk is 500 feet
Answer:
10,200
Step-by-step explanation:
Answer: 18 units long
Step-by-step explanation:
In the diagram, it looks like line segment AW is 6 units long and WB is 12 units long. Because of parts-whole postulate (the whole is equal to the sum of its parts), you can add AW and WB's lengths together. 6 + 12 = 18, so the length of line segment AB is 18 units long.