Answer:
y=3x-5
Step-by-step explanation:
If the new line is perpendicular to the original line, they the slope for the new line should be the reciprocal and opposite of the original line. Since the original line's slope is -1/3, the slope of the new line is 3, which is the coefficient in the new equation representing the new line. Then, you create an equation to solve for "b" in the equation y=mx+b where "b" is the y-intercept. You plug in 3 for x, 4 for y, and 3 for m (you know that 3 is x and 4 is y because it says that the line must past (3,4). So the equation to solve for b should be "4=3(3)+b". Then for b you should get -5.
Answer:
C. 8
Step-by-step explanation:
This then simplifies to (10^1 times 5 ^ -1)cubed. 5^-1 is 1/5, and 10^1 is 10. 10 times 1/5 is 2, and 2^3 is equal to 8.
Many photosynthetic organisms and large amounts of light
Answer:
-5
Step-by-step explanation:
put the 10 on the other side of the = wich will change it to -10 then do -10/2 and x2/2 to get x=-5
Perimeter = 2L + 2W = 256
"8 feet longer than it is wide"
translates to
L = 8 + W
we plug that into the first equation and get
2(8 + W) + 2W = 256
now we solve for W
distribute the 2
16 + 2W + 2W = 256
add like terms
16 + 4W = 256
subtract 16 from both sides
4W = 240
divide both sides by 4
W = 60
plug that into
L = 8 + W
and solve for L now
L = 8 + 60
so
L = 68
therefore your
length = 68
and
width = 60
