Factor x3 4x2 3x + 18 = 0, given that 3 is a zero.
1 answer:
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Part 1: The equation of the line is
Part 2: The equation of the line in slope intercept form is
Explanation:
Part 1: It is given that the point A is and the line B is
To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.
From the equation of line B, the slope is
Substituting the point and
in slope intercept form
, we have,
Thus, the y-intercept is
Let us substitute the values and
in the slope intercept form
, we get,
Thus, the equation of the line passing though point A and parallel to line B is
Part 2: The given two coordinates are and
To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.
From the graph, we can see that the line touches the y-axis at -1.
Hence, the y-intercept is
The formula for slope is
Substituting the coordinates and
, we have,
Thus, the slope is
Substituting the values and
in the slope intercept formula
, we get,
Thus, the equation of the line in slope intercept form is
Answer:
3.897
Step-by-step explanation:
equilateral triangles are also equiangular, meaning the have equal angles.
Triangle sum theory says that angles of a triangle add up to 180.
That means each angle is 60.
A = bh/2
You need the (h). The base of is 3. Perimeter = 9, so each side is 3
Draw a perpendicular line for the height. The line cuts the base in half (1.5)
Using trigonometry you can find the height.
tan 60° = h/1.5
h = height, 1.5 is half of 3, 60° is the base angle.
multiply each side by 1.5
1.5(tan 60°) = h
h=2.598
then substitute h into formula
A= <u>(2.598)(3) </u>
2
A = 3.897 rounded