Answer:
Aunt drove 4 hours
Uncle drove 6 hours.
Step-by-step explanation:
Equations:
580 = 55/x + 60/y
600 = 55x + 60y
Happy Holidays!
Answer:
t = sqrt(595/1289) or t = -sqrt(595/1289)
Step-by-step explanation:
Solve for t:
29/35 = 17/t^2 - 36
29/35 = 17/t^2 - 36 is equivalent to 17/t^2 - 36 = 29/35:
17/t^2 - 36 = 29/35
Bring 17/t^2 - 36 together using the common denominator t^2:
(17 - 36 t^2)/t^2 = 29/35
Cross multiply:
35 (17 - 36 t^2) = 29 t^2
Expand out terms of the left hand side:
595 - 1260 t^2 = 29 t^2
Subtract 29 t^2 + 595 from both sides:
-1289 t^2 = -595
Divide both sides by -1289:
t^2 = 595/1289
Take the square root of both sides:
Answer: t = sqrt(595/1289) or t = -sqrt(595/1289)
Answer:
2/8 = 25%
Step-by-step explanation:
There is 8 possible solutions and 2 of the 8 are A so you would divide 2 and 8 to get 1/4 and 1/4 is 0.25%
Answer:
Explanation:
A function is a relation (a set of ordered pairs) with the additional property that: no two pairs have the same first element and different second elements.
The definition is often stated as: A relation in which every
x
value is associated with exactly one
y
value. "Exactly one means one but two or more:
{(1,2);(2,3);(3,4);2,5)}
includes the points
(2,3) and (2,5)
. Therefore this set of pairse is not a function.
Note
{(0,1),(1,3),(2,5),(3,5)}
is a function.
(It is ok to have different first elements and the same second elements. The definition of function is very precise.)
<h3>
Answer: 0.5</h3>
This is equivalent to the fraction 1/2
==============================================================
Explanation:
The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.
|A-B| = |-5-(-8)| = |-5+8| = |3| = 3
or
|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3
We can say that segment AB is 3 units long.
--------------------------
The distance from A' to B' is 1.5 units because...
|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5
or
|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5
The absolute values ensure the distance is never negative.
We can say A'B' = 1.5
---------------------------
Now divide the lengths of A'B' over AB to get the scale factor k
k = (A'B')/(AB)
k = (1.5)/(3)
k = 0.5
0.5 converts to the fraction 1/2.
The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.