Answer:
y=3x-10
Step-by-step explanation:
For this, you would use the point slope formula, which is (y-y1)=m(x-x1). x1 and y1 are the coordinates from the ordered pair.
(y-y1)=m(x-x1)
(y-2)=3(x-4)
y-2=3x-12
y=3x-10
To check, you can plug the coordinates into the equation.
y=3x-10
(2)=3(4)-10
2=12-10
2=2
Answer:
the answer is 0 to 1 and 3 to 4
Answer:
14.82
Step-by-step explanation:
Hope it helps :)
Answer:
x = 20°
y = 30
Step-by-step explanation:
The triangle given on close inspection, it is an equilateral triangle.
Each angle in an equilateral triangle is equal. Likewise, each side is equal.
Thus;
16 + y = 46
y = 46 - 16
y = 30
The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.
Thus, the smaller angle there is;
180 - (80 + 60) = 40°
Because sum of angles in a triangle is 180°
Now, x + 40 = 60°
Since that's also an angle of an equilateral triangle.
x = 60 - 40
x = 20°
Answer:
An example of a quadratic equation is:

Step-by-step explanation:
This answer follows the standard form for a quadratic equation:

To solve this equation you do the following:
x^2 + 5x + 6 =0
The factors that can be added to get *5* and multiplied to get *6* are 3 & 2.
Therefore the new equation would be:
x^2 +3x + 2x + 6 = 0
<em>group the terms</em>: (x^2 +3x) (+2x + 6) = 0
<em>factorize</em><em>:</em><em> </em>x (x + 3) 2 (x + 3) = 0
<em>therefore</em><em>:</em><em> </em><em>(</em><em>x</em><em> </em><em>+</em><em> </em><em>2</em><em>)</em><em> </em><em>(</em><em>x</em><em> </em><em>+</em><em> </em><em>3</em><em>)</em><em> </em><em>=</em><em>0</em>
<em>x</em><em> </em><em>=</em><em> </em><em>-1</em><em> </em><em> </em><em>x</em><em> </em><em>=</em><em>-3</em>