Answer:
AC and OA
Step-by-step explanation:
-A secant is a line connecting two points on the circle.
-Given the square OABC of sides 6cm and a circle of r=5cm and the center of the circle as O, and that the radius of the circle is less than the side of the square:
-The circle passes through OA and OC, but doesn't pass through AB and BC.
Hence, AC and OA are the circle's secants.
Answer: Laura cannot find the number, as explained below.
Explanation:
1) The question is aimed to determine the number that Laura is trying to come up with.
Such question is solved by stating an algebraic equation from the word statement, which is done step by step.
2) Using the name x for the unknown, the expression "three less than 8 times the number" is translated to: 8x - 3
3) The expression "half of 16 times the number after it was increased by 1" is translated to: (1/2) (16x + 1)
4) Finally, since they are equal, you can set the equation:
8x - 3 = (1/2) (16x + 1)
5) And solve for x in this way:
i) Distributive property:
8x - 3 = 8x + 1/2
ii) At this stage you can see that the both 8x terms (on the left and on the right) cancel each other, which leads to the impossibility to determine the value of the unknown:
-3 = 1/2 which is alwasy false, meaning that the equation has no solution.
<h2>
Answer:</h2>
Option: B is the correct answer.
The range of the function is:
B. 5 < y < ∞
<h2>
Step-by-step explanation:</h2>
Range of a function--
The range of a function is the set of all the values that is attained by the function.
By looking at the graph of the function we see that the function tends to 5 when x→ -∞ and the function tends to infinity when x →∞
Also, the function is a strictly increasing function.
This means that the function takes every real value between 5 and ∞ .
i.e. The range of the function is: (5,∞)
Hence, the answer is:
Option: B
