ANSWER: (12,11), (x,y)
12 steps to the right on the x-axismaking the value a plus, and 11 steps up on the y axis making the numeral positive as well.
Answer:
Step-by-step explanation:
recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.
also recall that the formula to find the slope of a line is m=y2-y1/x2-x1
to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.
lets do the math now:
option a)
m=y2-y1/x2-x1
m=12-4/6-0
m=8/6
m=4/3
this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1
option b)
m=y2-y1/x2-x1
m=0-4/6-0
m=-4/6
m= -2/3
this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1
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ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.
toodles! :)
Answer:
The population would be 3358
Step-by-step explanation:
Since, exponential growth function if the growth is compound continuously,
Where,
P = initial population,
r = growth rate per period,
t = number of periods,
Given,
The population in 2000, P = 2,400,
Growth rate per year = 1.68% = 0.0168,
Number of years from 2000 to 2020, t = 20,
Thus, the population in 2020,
Answer:
The length of the long side is 147 ft
The length of the short side is 30 ft
Step-by-step explanation:
L=5s-3
s= 324-2L
324=2(5s-3)+s
distribute
324=10s-6+s
simplify
324=11s-6
add 6 to both sides
330=11s
divide by 11
30=s
Plug in the s value to determine the length of the long side
Answer: x > 486
Explanation:
We have some number x and we divide that by 18. The result is larger than 27. To find possible values for x, we need to undo what is happening to x. The opposite of division is multiplication. We multiply both sides by 18 to cancel out the "18" on the left side, which will isolate x to get it to its own side.
This is what the steps look like
x/18 > 27
18*( x/18 ) > 18*27 .... multiplying both sides by 18
x > 486 ... note the 18's cancel on the left side
So this means x is some number greater than 486.
