Slope of 2y = x + 5:-
This is y = 0.5 x + 2.5 in slope intercept form so its slope = 0.5
Slope of the line perpendicular to it = -1 / 0.5 = -2
it passes through (2 , 1) so we have
y- 1 = -2(x - 2)
y = -2x + 4 + 1
The answer is y = -2x + 5
<span>(3x - 1)( x + 5)(4x - 3) = 12x^3 + 47x^2 - 62x +15 </span>
<span>(3x^2 –
x + 15x - 5)( 4x – 3 ) = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>(3x^2 +
14x - 5)( 4x – 3 ) = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>12x^3 –
9x^2 + 56x^2 – 42x – 20x + 15 = <span>12x^3 +
47x^2 - 62x +15 </span></span>
<span>12x^3 –
47x^2 - 62x + 15 = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span> </span>
A). Pi m
Explanation:
Arc length formula:
Arc length = (Ø/360°) * 2*Pi*r
Ø = given angle (degrees)
r = radius
Plug given numbers in:
(45°/360°)* 2* Pi * 4
This will give you the answer of Pi
Answer:
y=-6/5x-2
Step-by-step explanation:
We are given points (5,-8) and (-5,4)
Slope = m = (y₂-y₁)/(x₂-x₁) = (-8-4/(5-(-5)) = -12/10 = -6/5
Y-intercept = b = (0,-2)
Final equation: y=-6/5x-2

Actually Welcome to the concept of Angle sum property of a triangle.
To form a triangle, all angles must sum exactly to 180°.
So the correct options are :-
1.) 86°, 53°, 41°
4.) 54°, 97° , 29°
5.) 33° , 90° , 57°