Answer:
The correct answer is A.
Step-by-step explanation:
We're told that f(x) has its vertex at 5, -5 and opens downward. This tells us that it's axis of symmetry is x = 5.
The format of the function g(x) shows us that its axis of symmetry is x = -5. We're shown this because of the (x + 5)² component.
So the correct answer is A.
Answer:
C. Side = 17 cm, side = 12 cm, side = 7 cm
Step-by-step explanation:
Three line segments can form a triangle, if the sum of any two lengths is greater than the third length.
In A), 8 + 7 = 15 < 16. So, A cannot form a triangle.
In B) 9 + 7 = 16 = 16. Hence, the lines are collinear.
In D) 11 + 5 = 16 < 17. So, D cannot form a triangle.
In C),
17 + 12 = 29 > 7
12 + 7 = 19 > 17 and
17 + 7 = 24 > 12
Hence, sides given in (C) can form a triangle.
Answer:
15/16
Step-by-step explanation:
2½ ÷ 2⅔
(5/2) ÷ (8/3)
5/2 × 3/8
15/16
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
In this exercise, we have the following decimal:
So this is a real number. To write the following decimal as fraction in simplest form, we must follow the following steps:
1. Determine the place value of the last number in the decimal so this becomes your denominator.
2. Make the decimal number the denominator.
3. Reduce.
Therefore, we have:
But this fraction can be written as the product of factors both in the numerator and the denominator as follows: