Given:
The slope of the line is -3.
The line passes through the point (2,-2).
To find:
The point-slope form of the line.
Solution:
Point slope form: If a line passes through the point
with slope m, then the point-slope form of the line is:

The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:


Therefore, the required point slope form of the given line is
.
Hello :
y = 3x²+9x
= 3(x² + 3x )
= 3 ( x² +2(3/2)x +(3/2)²) -(3/2)²)
= 3((x+3/2)² -9/4)
y = 3 (x+3/2)² -27/4
<span>the x-coordinate of the vertex is : - 3/2</span>
Answer:
<h2>length = 89 m</h2>
Step-by-step explanation:
Area of a rectangle = l × w
where
l is the length
w is the width
From the question
Area = 6052 m²
width = 68 m
To find the length substitute the values into the above formula
6052 = 68l
Divide both sides by 68
We have the final answer as
<h3>length = 89 m</h3>
Hope this helps you
G >\ -4 ( g is greater than or equal to negative 4 )
The area of a triangle for one of the legs being 3 inches and the hypotenuse being 9 inches is 12.727 square inches
<em><u>Solution:</u></em>
Given that to find area of a triangle for one of the legs being 3 inches and the hypotenuse being 9 inches
From given information,
Let "c" = hypotenuse = 9 inches
Let "a" = length of one of the leg of triangle = 3 inches
To find: area of triangle
<u><em>The area of triangle when hypotenuse and length of one side of triangle is given:</em></u>

Where, "c" is the length of hypotenuse
"a" is the length of one side of triangle
Substituting the given values we get,


Thus area of triangle is 12.727 square inches