Area = length x width
Area = 21 square cm
Width = x
Length = 3x + 2
21 = 3x+ 2 * x
21 = 3x ^2 + 2x
Subtract 21 from both sides:
3x^2 + 2x -21 = 0
Use the quadratic formula to solve for x:
-2 +/- sqrt(2^2-4*3(-21))/(2*3)
X = 7/3 and -3
A dimension can’t be a negative value so x needs to be 7/3
Width = x = 7/3 = 2 1/3 cm
Length = 3(7/3) + 2 = 9 cm
Check: 9 x 2 1/3 = 21
Dimensions: width 2 1/3 cm length 9 cm
Answer: disagree
Step-by-step explanation:
the sign for it is greater than or equal to so 12 is included in the inequality because 12=12
-2 should be distributed to (x-3). so you would get the answer of -2x+6
Answer:
A, B and C.
Step-by-step explanation:
If its a right triangle then c^2 = a^2 + b^2 where a, b and c are the 3 sides, c being the hypotenuse.
3^2 + 6^2 = 9 + 36 = 45
and (√45)^2 = 45 so the first set (A) is a right triangle.
2.5^2 + 6^2 = 6.25 + 36 = 42.25.
6.5^2 = 42.25 so B is also a right triangle.
C:
4^2 + 8^2 = 16 + 64 = 80
(√80)^2 = 80 so C is right-angled also.