to solve for the dimensions (x+7)(x+2)=66,
we can first use the foiling method to simplify the left side.
x^2 + 2x + 7x + 14 = 66
x^2 + 9x + 14 = 66
now, subtract 66 from both sides.
x^2 + 9x - 52 = 0
now, split this into two parentheses.
(x + 13)(x - 4)
since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.
Answer: B
Explanation: ONE triangle can be formed.
According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.
Here, the sides are 1 m, 2 m, and 2m. 1m + 2m = 3m > 2m (theorem followed) 2m + 2m = 4m > 1m (theorem followed)
Since, the triangle inequality theorem is followed, Hence, ONE triangle can be formed.
Answer: 15h^2 + 26h -21
Step-by-step explanation:
Use the foil method. Multiply in this order
First, 5h*3h= 15h^2
outer, 5h*7 = 35h
inner, -3*3h= -9h
last, -3*7= -21
Now add them all together
15h^2 + 35h + -9h + -21
Combine like terms
15h^2 + 26h -21
|-3|+|7|=10. The distance of the 2 numbers is 10, next multiply 3/5 into 10 and you get 6. -3+6 is 3, so the point you will end up on is 3.
Supplementary: straight line is 180 degree
x + (x-6) = 180
2x = 186
X = 93