What scale factor was used when going from the grey triangle to the yellow triangle
2 answers:
Answer:
It was used as scale factor.
Step-by-step explanation:
The scale factor is the ratio of two corresponding side lengths of similar figures. Similar figures have the same shape but are of different sizes.
To find the scale factor that was used when going from the grey triangle to the yellow triangle we can work with any of the three sides of the grey triangle.
Let's work with the below side.
The below side is extended from the point to the point
The length of this side is 9 units.
In the yellow triangle, we can see that the below side is extended from the point to the point
The length of this side is 3 units.
Working with the lengths and the scale factor ⇒
We find that the scale factor that was used when going from the grey triangle to the yellow triangle is
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Answer:
Step-by-step explanation:
<u>slope-intercept </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept
Given line: y= 2x +2
slope= 2
The product of the slopes of perpendicular lines is -1. Let the slope of the unknown line be m.
m(2)= -1
m= -1 ÷2
m= -½
Substitute the value of m into the equation:
y= -½x +c
To find the value of c, substitute a pair of coordinates.
When x= 4, y= 3,
3= -½(4) +c
3= -2 +c
c= 3 +2
c= 5
Thus, the equation of the line is y= -½x +5.