The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
- If the equation of a line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
- The line and its image are parallel
- The coordinates of a general point on the image is (kx , ky)
Line L is mapped onto the line T by a dilation centered at the origin and a scale factor of 3.
That means lint T is the image of line L after dilation
∵ The equation of line L is 2x - y = 7
∵ Line L is dilated by scale factor 3 and centered at origin
- That means multiply the equation of line L by 3 to find the
equation of line t
∵ Line T is the image of line L after dilation
∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)
∴ The equation of line T is 6x - 3y = 21
<em>Very important note:</em>
The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)
That means the equation of lines T and L is 2x - y = 7
The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)
Learn more:
You can learn more about dilation in brainly.com/question/2480897
#LearnwithBrainly
Answer:
x=3
Step-by-step explanation:
....................
A = 7 and x = -5
-a + 3x = -(7) + 3(-5) = -7 -15 = -22
Answer: -22
Answer:
x>2
Step-by-step explanation:
The area of real backyard is 72 square meters.
Step-by-step explanation:
Given,
Length of rectangular backyard = 8 cm
Width of rectangular backyard = 4 cm
According to scale;
2 cm = 3 m
1 cm = 
Real length of backyard = 8*1.5 = 12 m
Real width of backyard = 4*1.5 = 6 m
Real area of backyard = Length * Width
Real area of backyard = 12*6 = 72m²
The area of real backyard is 72 square meters.
Keywords: area, unit rate
Learn more about areas at:
#LearnwithBrainly
