B, d, e, f
they all equal 64
Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.
Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
= 4(x^2+3x) + 9, or
= 4x^2 + 12x + 9 = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3). Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.
c=2x+3 is the correct answer.
Slope= 2/3
Explanation- adding 6y on both sides and subtracting 12 on both sides of eq, 12 + 6y -12=4x+6y-6y-12
6y = 4x-12
Divide by 6 on both sides of eq, we get y=4/6 x -12/6
y=2/3 x-2
Answer:
1. false
2. false
3. true
4. true
5. true
6. false
Step-by-step explanation:
1. The value of the first expression when t = 3 is not equal to the value of the second expression when t = 3.
2. The value of the first expression when t = 7 is not equal to the value of the second expression when t = 7.
3. The value of both expressions when t = 3 is 30.
4. The value of both expressions when t = 7 is 54.
5. The expressions are equivalent.
6. The expressions are not equivalent.
6t + 12 = 6(t + 2)
6(3) + 12 =6((3) + 2)
18 + 12 = 6(5)
30 = 30
6(7) + 12 = 6((7) + 2)
42 + 12 = 6(9)
54 = 54
For the first question the answer would be the first quadrant
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