Answer:
Option D: 20km South
Step-by-step explanation:
Lets say A = (0, 0)
A is 30km East of D which makes D = (-30, 0)
D is 10km South of F which makes F = (-30, 10)
F is 10km West of B which makes B = (-20, 10)
A is 10km North of C which makes C = (0, -10)
C is 20km East of E which makes E = (-20, -10)
Find distance from B = (-20, 10) to E = (-20, -10)
1. Cancel equivalent values:
x of B = (-20) and x of E = (-20)
Remove x from equation.
2. Solve for answer:
B = 10 and E = (-10)
Find the difference: (-10) - 10 = (-20)
Conclusion:
South translates to negative on a graph making the answer 20km South
Hope this helped :)
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! :)
The maximum possible area would have a length of 24 feet and width of 12 feet.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the length and y represent the width, hence:
Since beth has 48 ft fencing and cover 3 sides, hence:
x + 2y = 48
x = 48 - 2y (1)
Also:
Area (A) = xy
A = (48 - 2y)y
A = 48y - 2y²
The maximum area is at A' = 0, hence:
A' = 48 - 4y
48 - 4y = 0
y = 12 feet
x = 48 - 2(12) = 24
The maximum possible area would have a length of 24 feet and width of 12 feet.
Find out more on equation at: brainly.com/question/2972832
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donuts and cream puffs were 45 & 4 respectively !
<u>Step-by-step explanation:</u>
Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts We need to find how many donuts and cream puffs were there . Let's find out:
Let number of donuts and cream puffs are x & y respectively ! So ,
- twice the number of donuts was only 6 less than 24 times the number of cream puffs
According to this statement equation is :
⇒ 
⇒ 
................(1)
- 10 times the number of cream puffs was only 5 less than the number of donuts
According to this statement equation is :
⇒ 
⇒ 
................(2)
Equation (1) & (2) :
⇒ 
⇒ 
⇒ 
Putting in :
⇒ 
⇒ 
Therefore , donuts and cream puffs were 45 & 4 respectively !
The answer would be 21/50. If you have numbers with a few zeros you can cross one of the top amd bottom until you reach the other numbers, if that makes sense. You can changd 420/1000 to 42/100. Then just keep dividing it by a numner that goes evenly into both the numerator and denominator.
