Given:
The preimage and image of a triangle in the given figure.
To find:
The dilation scale factor.
Solution:
From the given figure it is clear that the vertices of the triangle ABC are A(-2,-2), B(-1,2) and C(2,1).
The vertices of the triangle A'B'C' are A'(-4,-4), B'(-2,4) and C'(4,2).
If a figure is dilated by factor K with (0,0) as the center of dilation, then
Let the scale factor be K, then the image of point A is:
From the given figure it is clear that the image of point A is A'(-4,-4).
On comparing both sides, we get
Therefore, the dilation scale factor is 2.
This is a line in the form y = mx + b, where b is the y intercept. In your equation above, 3 is the slope, the m value, and -6 is the y-intercept, the b value.
Since no possible correct method is posted, I will suggest a couple.
Method 1: guess and check
Works well for simple problems involving integers like this one.
Victor's age must be zero or greater than one, say one.
Guess v=1, find m=v+6=7, check m=5v-2=5-2=3 no good.
we need to make v bigger
Guess v=2, find m=v+6=2+6=8, check m=5v-2=5*2-2=8 ✔
So v=2, m=8.
Method 2:
Solve the system of two equations.
since the left-hand sides is m in both equations, and since m=m, we just have to equate the right-hand sides to solve for v.
5v-2=v+6
Solve for v
5v-v = 6+2
4v=8
v=2,
so again, v=2, m=v+6=2+6=8.
Answer:
3.7 feet
Step-by-step explanation:
A golden rectangle is a rectangle in which the length and the width are in the ratio 1 : 1.618
If the width of the rectangle is 6, the length = 6 / 1.618 = 3.708 ft
= 3.7 (to the nearest tenth)
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Answer:
1. 1/6x + 5/6
2. 1/3x + 2/3
Step-by-step explanation:
