Step-by-step explanation:
3x²+4=31
3x²=31-4
3x²=27
x²=27÷3
x²=9
x=±3
Answer:
C
Step-by-step explanation:
The circumference (C) of a circle = 2πr ← r is the radius
Given C = 15π the equating gives
2πr = 15π ( divide both sides by 2π )
r = = 7.5 cm
The area (A) of a circle is calculated using the formula
A = πr² = π × 7.5² = 56.25π cm² → C
Answer:
the constant is 3.683
Step-by-step explanation:
Step-by-step explanation:
The angle 2 and 3 are in vertically opposite sides. So, they are vertically opposite angles.
Hence, second option is correct.
For this case we have that by definition, the standard form of a linear equation is given by:
By definition, if two lines are perpendicular then the product of their slopes is -1. That is to say:
We have the following point-slope equation of a line:
The slope is:
We find the slope of a perpendicular line:
Thus, the equation is of the form:
We have the point through which the line passes:
Thus, the equation is:
We manipulate algebraically:
We add 3 to both sides of the equation:
We multiply by 2 on both sides of the equation:
We subtract 3x on both sides:
We subtract 12 from both sides:
ANswer: