Topic : Linear equations in two variables.
Given :
- 2x - y = 3 ––– (i)
- - x - y = 3 ––– (ii)
Solution :
Now,
(i) – (ii)
Now, substituting the value of x in Eq (i) :
Therefore,
- <u>The value of x = 0 and y = -3</u>
Which statement is TRUE concerning the slope of the line formed by the hypotenuse of each triangle? A) The slope formed by ΔABC
has a value that is 1 2 the slope formed by ΔCDE. B) The slope formed by ΔCDE has a value that is 2 times greater than the slope formed by ΔABC. C) The slope formed by ΔABC has a value that is 2 times greater than the slope formed by ΔCDE. D) The slope formed by ΔABC has a slope that is equal to the slope formed by ΔCDE.
1 answer:
Answer:
<em>A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE</em>
Step-by-step explanation:
Find the diagram attached.
Slope is the change in y coordinates tom that of x coordinate of a line.
Slope = Δy/Δx
Slope = y2-y1/x2-x1
For ΔABC,
A(-3, 6) and C = (-1, 3)
Slope = 3-6/-1-(-3)
Slope = -3/-1+3
Slope = -3/2
Slope of line AC is -3/2
For ΔCDE,
C = (-1, 3) and E = (3, -3)
Slope = -3-3/3-1
Slope = -6/2
Slope = -3
Slope of line CE is -3
From the calculation above, it can be seen that Slope of ΔABC = 1/2(slope of ΔCDE)
-3/2 = 1/2 (-3)
-3/2 = -3/2
<em>Hence the correct option is A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE</em>
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