9514 1404 393
Answer:
-1
Step-by-step explanation:
The slope of a line between two points is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (7 -(-3))/(-2 -8) = 10/-10
m = -1
The slope of the line is -1.
Answer:
about 10.924 inches
Step-by-step explanation:
If all of the dimensions are equal, the box is a cube. Its side length is the cube root of the volume.
V = s³
s = ∛V = ∛1300 ≈ 10.913929 . . . . inches
Answer: 3rd one
Rearrange the original equation so it fits the model of : ax^2+bx+c=0
Then use the quadratic formula to find all possible answers.
Answer:
0, for q ≠ 0 and q ≠ 1
Step-by-step explanation:
Assuming q ≠ 0, you want to find the value of x such that ...
q^x = 1
This is solved using logarithms.
__
x·log(q) = log(1) = 0
The zero product rule tells us this will have two solutions:
x = 0
log(q) = 0 ⇒ q = 1
If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to <em>any</em> power.
_____
<em>Additional comment</em>
The applicable rule of logarithms is ...
log(a^b) = b·log(a)
