Answer:
x^2 = 10^2 - 9^2
x^2 = 100 -81 = 19
x = 4.3588989435
The triangle sides are 10, 9 and 4.3588989435
Step-by-step explanation:
The base case is the claim that
which reduces to
which is true.
Assume that the inequality holds for <em>n</em> = <em>k </em>; that
We want to show if this is true, then the equality also holds for <em>n</em> = <em>k</em> + 1 ; that
By the induction hypothesis,
Now compare this to the upper bound we seek:
because
in turn because
Answer:
y = (9/4)x + 2, given that I've assume the correct meaning of "-5x4."
Step-by-step explanation:
A parallel line has the same slope as the reference line,
The reference line is 9x-4y = -5x4, as written. I'm not sure the 4 belongs, but I'll assume it is written correctly. I'm not sure if the term -5x4 is meant to mean -5x^4, -20x or -20. I'll assume -20:
9x-4y = -20
Put the equation into standard slope-intercept form: Y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
-4y = -9x - 20
y = (9/4)x + 5
This line has a slope of (9/4). The parallel line will have the same slope.
y = (9/4)x + b
We can find a value of b that would shift this line to include (4,7) by using this point in the equation:
y = (9/4)x + b
7 = (9/4)(4) + b
7 = 9 + b
b = 2
The equation of a line parallel to the reference line is y = (9/4)x + 2
To find the remaining amount of money on the gift card you would substitute 8 in for the variable 't' and solve for g.
g= -9(8) + 100
g = -72 + 100
g = $28
Answer:
3053.63 inches cube
Step-by-step explanation:
V =4 3
------nr
3
4/3×22/7×9×9×9
=
3053.63
please mark as brainliest answer as it will also give you 3 pts
