Answer:
-2x^2 + 3x -1
Step-by-step explanation:
y = ax^2 + bx + c
(0,-1):
-1 = a(0)^2 + b(0) + c
-1 = 0 + 0 + c
-1 = c
(1,0):
0 = a(1)^2 + b(1) + c
0 = a + b + c
(2,-3):
-3 = a(2)^2 + b(2) + c
-3 = 4a + 2b + c
Replace c with -1
0 = a + b -1
1 = a + b
-3 = 4a + 2b -1
-2 = 4a + 2b
-1 = 2a + b
Solve:
2a + b = -1
-1a - b = -1
a = -2
2a + b = -1
-2a -2b = -2
-b = -3 divide both by -1: b = 3
a = -2; b = 3; c = -1
y = ax^2 + bx + c or y = -2x^2 +3x -1
Answer:
-0.6
Step-by-step explanation:
The answer to your problem is 0
Based on the triangle sum theorem and the triangle inequality theorem:
1. B. 23°, 67°, 90°.
2. A. 1 cm, 2 cm, 3 cm.
<h3>What is the Triangle Sum Theorem?</h3>
According to the triangle sum theorem, all three interior angles of any triangle has a sum of 180 degrees.
What is the Triangle Inequality Theorem?
Based on the triangle inequality theorem, one side of a triangle must be less than or equals the sum of any other two sides of the triangle. (a + b ≥ c).
Part 1:
23° + 67° + 90° = 180°, therefore, based on the triangle sum theorem, the set of angle measures that could be the interior angles of a triangle is: B. 23°, 67°, 90°.
Part 2:
1 + 2 = 3
1 + 3 > 2
2 + 3 > 1
Therefore, based on the triangle inequality theorem, the set of side lengths that could be that of the sides of a triangle is: A. 1 cm, 2 cm, 3 cm.
Learn more about the triangle sum theorem on:
brainly.com/question/7696843
#SPJ1
1. Check the sketch of the problem.
2. In right triangle DCE,
tan 50 can be found to be 1.19 using a scientific calculator or other software.
x=1.19*50=59.5 (feet)
3. The height of the building is 59.5+5=64.5 (feet)
Answer: 64.5 (feet)
