Answer:
y-coordinate is 5 or -1.
Step-by-step explanation:
Point A is at (x, 2) and B is at (x+6, 2). Since AB must lie on the line y=2 and be 6 units long. Point C is on the line x = -3 . So let C be at (-3, y).
Since ΔABC is a right angle, then point C must have the same x-coordinate as point A. Therefore, A(-3, 2) and B(2, 2).
The area of ΔABC is 6. So,
9 = 1/2 (b)(h)
where b is the base and h is the height.
so b = 6 and h = AC
Solving this for C gives
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
Point C must lie 3 units above point A or 3 units below the point A. If it lies 3 units above, then it has a y-coordinate of 2 + 3 = 5.
If it lies 3 units below, it has a y-coordinate 2 - 3 = -1.
Therefore, y-coordinate is 5 or -1.
Step-by-step explanation:
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Step-by-step explanation:
((a+b)/b − a/(a+b)) ÷ ((a+b)/a − b/(a+b))
To find the domain, remember that any denominators can't be 0.
b ≠ 0
a + b ≠ 0
a ≠ 0
(5/(a+1) − 3/(a−1) + 6/(a²−1)) × (a+1)/2
Distribute the a+1.
(5 − 3(a+1)/(a−1) + 6/(a−1)) / 2
Factor out 1/(a−1).
(5(a−1) − 3(a+1) + 6) / (2(a−1))
Simplify.
(5a − 5 − 3a − 3 + 6) / (2a−2)
(2a−2) / (2a−2)
1
Answer:
Length = 12
Width = 6
Step-by-step explanation:
Width = 6 miles less than length;
L = L
W = L - 6
Area = 72 ft²
Area = Length * width
Area = (L * L-6)
Area = L² - 6L
-
L² - 6L = 72
L² - 6L - 72 = 0
L² - 12L + 6L - 72 = 0
L(L - 12) +6(L - 12) = 0
L = 12 or L = - 6
L cannot be negative
Width = L - 6
Width = 12 - 6 = 6
Hence,
Dimension of rectangle :
Length = 12
Width = 6
Answer:
b
Step-by-step explanation:
