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 = ![\frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D)
Substitute the values for both B and C coordinates, we have
Slope = ![\frac{2- 5}{1 - 4}](https://tex.z-dn.net/?f=%5Cfrac%7B2-%205%7D%7B1%20-%204%7D)
Find the difference for both the numerator and denominator
Slope = ![\frac{-3}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%7D%7B-3%7D)
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
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This the answer to the problem trust me im in 9th grade just trying to help out some kids
Answer: #4 C Domain is x such that x is greater than -1 (all real numbers greater than -1)
#5 B Points C, F & G
Step-by-step explanation: Look at the coordinate of the vertex. It is at (-1, 1) so the -1 is the lowest number in the Domain (running left to right). The attows at the right ends mean that the lines go to infinity. The symbol ∈ means "belongs to" the R (special font not available here) means "all real numbers.
The y-value, 1 is not relevant here, as the Range (up and down, like a mountain range) is infinity, and the arrows keep going forever. ∈R means all real numbers.
For the Triangle: First ,imagine a box with the boundaries matching the domain and range given, so the left side is at -2, the right side is at 6 [Domain] and the top and bottom are at 5 and -1 [Range]
Pick the points that are on the boundary lines. C is at (6,3) on the right boundary, F is at (2,-1) on the bottom boundary and G is at (-2,5) at the corner where the top and left sides meet.
See the attachment below
You could maybe think about the numbers like fractions,decimals and never ending numbers.
Answer:
80
Step-by-step explanation:
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