the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1
<h3>How to determine the equation</h3>
From the figure given, we can deduce the coordinates of the sides
For A
A ( 4,2)
For B
B ( 4, 5)
C ( 1, 2)
D ( 2, -4 )
E ( 5, -4)
F ( 2, -1)
The slope for BC
Slope = 
Substitute the values for both B and C coordinates, we have
Slope = 
Find the difference for both the numerator and denominator
Slope = 
Slope = 1
We have the rotation for both point ( 0, 1)
y - y1 = m ( x - x1)
The values for y1 and x1 are 1 and 0 respectively and the slope m is 1
Substitute the values
y - 1 = 1 ( x - 0)
y - 1 = x
Make 'y' the subject of formula
y = x + 1
Thus, the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1
Learn more about linear graphs here:
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The area of the actual castle would be 388,800 sq. ft.
We would multiply each of the sides of the scale model both by 180 to find the side lengths of the actual castle.
So...
180 x 4 = 720
180 x 3 = 540
If Area is equal to Length Times Width, all thats left to do is to multiply the two sides together.
720 x 540 = 388,800
Hope this helped! :D
Answer:

the charge is $5 dollars per mile
Step-by-step explanation:
He truck is rented at $40 per day plus they charge per mile of use the truck travel 15 miles in one day and the total charge was 115
LEt x be the charge in dollars per hour
Initial charge is 40 and 15 miles travelled in one day
total charge = 15x + 40
Given : total charge is 115
So the equation becomes

Now we solve for x
Subtract 40 from both sides

Divide both sides by 15
x= 5
so , the charge is $5 dollars per mile
Answer: The y-intercept is an (x,y) point with x=0
Step-by-step explanation:
Area is trapezium =
A=1/2h(a+b)
84=1/2(6)(7+b)
84=3(7+b)
84=21+3b
3b=84-21
B=63/3
B= 21 cm
I’m sorry if my answer turned out to be wrong but I tried my best so best of luck !!