Answer:
89
Step-by-step explanation:
Plug 9 into the equation;
![m(9)= (9)^2+8](https://tex.z-dn.net/?f=m%289%29%3D%20%289%29%5E2%2B8)
![9^2=81\\81+8=89](https://tex.z-dn.net/?f=9%5E2%3D81%5C%5C81%2B8%3D89)
x=3 is your answer. This is because it only crosses the x-axis and this occurs at positive 3. y=3 on the other hand would be a horizontal line that only touches positive 3 on the y-axis.
Answer:
<em><u>122 miles per hour</u></em><em><u>.</u></em><em><u> </u></em>
Step-by-step explanation:
Time:108 min ÷60 =1.8 hours
Speed = distance /time = 219/1.8 =122 miles per hour.
Hope this helps..
Answer:
Quadrilateral ABCD is not a square. The product of slopes of its diagonals is not -1.
Step-by-step explanation:
Point A is (-4,6)
Point B is (-12,-12)
Point C is (6,-18)
Point D is (13,-1)
Given that the diagonals of a square are perpendicular to each other;
We know that the product of slopes of two perpendicular lines is -1.
So, slope(m) of AC × slope(m) of BD should be equal to -1.
Slope of AC = (Change in y-axis) ÷ (Change in x-axis) = (-18 - 6) ÷ (6 - -4) = -24/10 = -2.4
Slope of BD = (Change in y-axis) ÷ (Change in x-axis) = (-1 - -12) ÷ (13 - -12) = 11/25 = 0.44
The product of slope of AC and slope of BD = -2.4 × 0.44 = -1.056
Since the product of slope of AC and slope of BD is not -1 hence AC is not perpendicular to BD thus quadrilateral ABCD is not a square.
A = 81 square in.
s = sqrt(A)
s = sqrt(81)
s = 9 in.