Answer:
Scale factor:
Actual area:
Scale drawing area:
Ratio of areas:
Scale factor 2:
Scale factor :
Scale factor :
Observation: The ratio of the areas of the triangles is the square of the scale factor of the sides
Scale factor :
Step-by-step explanation:
The scale factor is
The actual area is
The scale drawing area is
Ratio of areas:
When the scale factor of the sides was 2, then the value of the ratio of the areas was 4.
When the scale factor of the sides was , then the value of the ratio of the areas was .
When the scale factor of the sides was , then the value of the ratio of the areas was .
Observation: The ratio of the areas of the triangles is the square of the scale factor of the sides.
If the scale factor is , then the ratio of the areas is , based on the observation.
Extra: Proof of observation.
Let the legs of the actual triangle be and . Then the legs of the scale triangle are and , with being the scale factor.
The area of the actual triangle is . The area of the scale triangle is .
The ratio of these areas is , as desired.
Answer:
y = 1.5x + 3.2009
Step-by-step explanation:
I plotted your points and drew a linear regression line.
Its equation is
y = 1.5x + 3.2009
The regression line ignores the fact that the points fall along a smooth curve.
A parabolic regression line fits the data much better.
The equation for that line is
y = - 0.1647x² + 4.1357x - 5.6946
It is the equation for a vertical parabola opening downward.
Answer:
ayy I gotchuu
Step-by-step explanation:
theres gonna be two solutions
a negative then positive
positive:
|3x - 9| = 12
3x-9=12
3x=21
x=7
negative:
3x-9=-12
3x=-3
x=-1
Answer:
Ninety thousand, four hundred and three.
the x and y intercept would be
x= (-4,0) y=(0,-3)