Answer:
2/3
Step-by-step explanation:
Find the total amount of shirts: 6 + 8 + 4 = 18
Find the total amount of white and solid colored shirts : 8 + 4 = 12
Put the total amount of white and solid colored shirts over the total amount of shirts: 12/18
Simplify 12/18: 2/3
Use the Pythagorean Theorem of a² + b² = c² to solve for x.
x² + (x + 3)² = (√117)²
x² + x² + 6x + 9 = 117
2x² + 6x + 9 = 117
2x² + 6x + 9 - 117 = 0
2x² + 6x - 108 = 0
2x² + 18x - 12x - 108 = 0
2x(x + 9) - 12(x + 9) = 0
(2x - 12)(x + 9) = 0
x = - 9, 6
Length cannot be negative so you can't use - 9.
x = 6. Option C is your answer.
Answer:
Step-by-step explanation:
Answer: B. 77
Sub x =6 into the given expression
4x^2 - 12x + 5
= 4(6)^2 - 12(6) + 5
= 144 - 72 + 5
= 77
Answer:
1. B
2. B
Step-by-step explanation:
1. Three points are collinear if they lie on the same line. The diagram shows two triples of points that lie on the same line:
- points B, C and D;
- points A, C and E.
Thus, option B is true.
2. Another way to name the plane is to select three points which do not lie on the same line and write them consequently. As you can see from the diagram, points B, F and D lie on the plane M, but do not lie on the same line. Thus, another way to name plane M is BFD.
