Answer:
here's what we know:
a + b = 72
a - b = 26
We can use the elimination method to solve this problem:
a + b = 72
a - b = 26
---------------
2a = 98
Divide both sides by 2:
a = 49
So we now have:
49 + b = 72
and:
49 - b = 26
Subtract 49 from both sides:
b = 23
and
-b = -23 (multiply both sides by -1) → b = 23
Step-by-step explanation:
Please see pic, I'd solved in it.
Answer:
Step-by-step explanation:
The equation of a circle in standard form:
(h, k) - center
r - radius
We have the endpoints of the diameter: (-1, 6) and (5, -4).
Midpoint of diameter is a center of a circle.
The formula of a midpoint:
Substitute:
The center is in (2, 1).
The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.
The formula of a distance between two points:
Substitute the coordinates of the points (2, 1) and (5, -4):
Finally we have:
It would be H because 13 has no factors other than 1, and 13.
Hope this helps!
An exponential decay function is:
f=ir^t, f=final amount, i=initial amount, r=common ratio, t=number of times ratio is applied...We can see the initial value is 17000 so all we really have to find is the common ratio, or "rate" as some call it :P If we look at the second point, when t=1 we can see:
14280=17000r
r=357/425
r=0.84
So in five years the SUV will be worth more than the car by:
17000(0.84^5)-12000(0.89^5)
$408.73 (to the nearest cent)