What is the distance between the points (−3, 6) and (5, 6)?
Responses
A 11
B 33
C 88
D 11
The distance between the points (-3, 6) and (5, 6) is 8 units.
Explanation:
The distance formula is:
√[(x₂ - x₁)² + (y₂ - y₁)²]
Using the coordinates, we get:
√[(5 - (-3))² + (6 - 6)²]
= √[8² + 0²]
= √64
= 8
Therefore, the answer is A) 8.
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Which number is NOT in the solution set of x + 6 < 14?
Responses
A 7
B 3
C 11
D 5
To solve the inequality x + 6 < 14, we need to isolate x.
x + 6 < 14
Subtract 6 from both sides:
x < 8
This means that x can take on any value less than 8.
Therefore, the number that is NOT in the solution set is C) 11, since 11 is greater than 8.
(Image)
What is the approximate area of the geometric figure?
A 5 square units
B 2 square units
C 8 square units
D 10 square units
E 3 square units
To calculate the area of the geometric figure, we need to split it into two rectangles.
First rectangle: base = 2 and height = 1.5
Area of first rectangle = base x height = 2 x 1.5 = 3
Second rectangle: base = 3 and height = 2
Area of second rectangle = base x height = 3 x 2 = 6
Total area of the geometric figure = area of first rectangle + area of second rectangle = 3 + 6 = 9 units² (approx.)
Therefore, the answer is not given in the options, but closest to C) 8 square units.