The equation of the parabola with points (-1, 3), (0.5, 4.5) and (0,3) is y = 2x² + 2x + 3
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
The pareabola equation is in the form:
y = ax² + bx +c
At point (-1, 3):
3 = a(-1)² + b(-1) + c (1)
At point (0.5, 4.5):
4.5 = a(0.5)² + b(0.5) + c (2)
At point (0, 3):
3 = a(0)² + b(0) + c (3)
From the equations:
a = 2, b = 2, c= 3
The equation of the parabola with points (-1, 3), (0.5, 4.5) and (0,3) is y = 2x² + 2x + 3
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The thousands place is the 6, look to the right and there is a 0 (rule is if it's 5 or more round up, if it's 4 or less keep the same) so it's 16,000
Answer: - 2
Step-by-step explanation:
(1/36)^n = 216^n+5
(1/6^2)^n = (6^3)^n+5
(6^-2)^n = (6^3)^n+5
Opening the brackets
6^-2n = 6^3n+15
-2n = 3n + 15
collecting like terms
-2n - 3n = 15
-5n = 15
divide both sides by - 5
n = 15/-5
n = - 3
Answer:
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees.
One of the angles of a triangle measures d°, another measures (3d)°, and the third measures (5d + 54)°. The equation becomes
d + 3d + 5d + 54 = 180
9d + 54 = 180
9d = 180 - 54
9d = 126
d = 126/9
d = 14
First angle is 14 degrees
Second angle is 3 × 14 = 42 degrees
Third angle is 5 × 14 + 54 = 124 degrees
Answer: the answer x=11 or 10
Step-by-step explanation: