A=53/24 and B=32/10
|A| = |53/24| = 53/24
|B| = |32/10| = 32/10
AB = 53/24 * 32/10 = 1,696/240
|A| * |B| = |AB|
|53/24| * |32/10| = |1,696/240|
53/24 * 32/10 = 1,696/240
1,696/240 = 1,696/240
-3x^2 + 12x -6
a = -3
b = 12
We calculate the vertex "x" value with this formula:
(vertex "x value") = -b / (2*a)
(vertex "x value") = -12 / -6
The vertex "x" value equals the axis of symmetry value.
The axis of symmetry is at x = 2.
Source:
http://www.1728.org/quadr3.htm
Answer:
Rounded to the nearest tenth: 2,252.5
Step-by-step explanation:
This number can't be a whole number since there is a decimal.
Answer:
2:15 p.m.
Step-by-step explanation:
Starting time 1:40 p.m.
Time on subway <u>+0:17
</u>
Time off subway 1:57 p.m.
Time walking <u>+0:18
</u>
Time at apartment 1:75
When the minutes are more than 60, you subtract 60 from the minutes and add 1 to the hours.
1 :75
+1<u> - :60
</u>
2 :15 p.m.
Daniel arrived at the apartment at 2:15 p.m.
Answer:
8, 15 and 17 feet respectively
Step-by-step explanation:
Let the shorter leg=l feet
The longer leg of a right triangle is 7 ft longer than the shorter leg, therefore Length of the longer leg=(l+7) feet
The hypotenuse is 9ft longer than the shorter leg. Therefore Length of the hypotenuse=(l+9) feet
Using Pythagoras Theorem

This results into:


l-8=0 or l+4=0
l=8 or -4
Since length cannot be negative, The length l=8 feet
The sides of the rectangle are therefore: 8, 15 and 17 feet respectively