Answer: 11x-3y = 32
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Explanation:
The given points are
A = (-4,-2)
B = (4,4)
C = (18,-8)
First we'll use points A and C to find the slope of line AC
m = (y2-y1)/(x2-x1)
m = (-8-(-2))/(18-(-4))
m = (-8+2)/(18+4)
m = -6/22
m = -3/11
The slope of AC is -3/11
Take the negative reciprocal of this slope
Flip the fraction: -3/11 -----> -11/3
Flip the sign: -11/3 ----> +11/3 = 11/3
The slope of AC is -3/11 while the slope of any line perpendicular to AC is 11/3
Let m = 11/3 and (x,y) = (4,4) which are the coordinates of point B
Plug these values into slope intercept form and then solve for b
y = mx+b
4 = (11/3)*4+b
4 = 44/3+b
4 - 44/3 = 44/3+b-44/3
b = 4 - 44/3
b = 12/3 - 44/3
b = (12 - 44)/3
b = -32/3
Since m = 11/3 and b = -32/3, we go from this
y = mx+b
to this
y = (11/3)x-32/3
Now clear out the fractions and get the x and y variables to one side
y = (11/3)x-32/3
3y = 3*[ (11/3)x-32/3 ]
3y = 11x - 32
3y-11x = 11x-32-11x
-11x+3y = -32
-1*(-11x+3y) = -1*(-32)
11x-3y = 32
The equation of the through B that is perpendicular to AC is 11x-3y = 32 (this equation is in Ax+By = C form which is called standard form)
This is better known as the altitude through B
Answer:
Option 1. F F → T is the answer.
Step-by-step explanation:
In this question the given conditional statements are
3×2 = 5 then 6 < 0
We have to find the truth value of these conditional statements.
Since multiplication of 3×2 = 6 therefore the truth value of this statement is False.
For the statement 6<0 truth value is false because 6 is always greater than 0.
Now we know in two statements P → Q, if they follow the Implication rule then truth value is False only when P is true and Q is false otherwise in every condition the truth value is True.
Therefore F F → T illustrates the statements of the question.
The length and width of the rectangle would be 20*4 or 10*8. hope that helped
4÷16=4
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They would all make triangles.
The triangle inequality rule states that the sum of the lengths of each pair of sides must be greater than or equal to the third side.
If you test the two smaller lengths and it works than the other lengths will work.
27+36>45
10+24>26
18+22>28
20+21>31
28+45>53
