Answer:
(1/4, ln(1/2))
Step-by-step explanation:
The slope of the given line is -1/4, so the perpendicular line will have a slope of -1/(-1/4) = 4.
The slope of the given function is its derivative:
y' = 2/(2x) = 1/x
That will have a value of 4 when x = 1/4.
The point on the graph where the slope is 4 is (x, y) = (1/4, ln(1/2)).
<span>When used in reference to a square, the radius is the distance from the center of the square to any of the four vertices, or where two sides intersect. Because a square has four right angles, you can find the diameter of the square using the Pythagorean Theorem. Multiply the side length of the square by itself.
-google
and radius of a circle is 2 pi R the formula your welcome;) love u</span>
Answer:
3x - 8 > 22
Step-by-step explanation:
" eight less" means to subract 8 form something. If you had 10 apples and I took some so now you had 8 less apples, you'd have 10 - 8 = 2 apples
"three times a number" means 3x. 3 times some number.
The expression 3x - 8 means "8 less than 3 times a number"
"is" is math is a statement of equality, either an equals sign or an inequality needs to go here.
Our inequality is
3x - 8 > 22
830×20=16,600 because using place value we know anything ×2 you multiple that and add the zeros
There are 62 dimes and 44 nickels.
N + D = 106 (There are 106 coins in all.)
1 nickel = 5 cents.
1 dime = 10 cents.
5*N + 10*D = 840 ($8.40 = 840 cents)
N + D = 106 -------(1)
N = (106 - D)
5*N + 10*D = 840 ---------(2)
5*(106-D) + 10*D = 840
530 - 5*D + 10*D = 840
5*D = 840 - 530
5*D = 310
D = 310/5 = 62
Eq(1) N + D = 106
N + 62 = 106
N = 106 - 62
N = 44
