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
The correct answer is: <span>C) The base of the cone and the top of the cylinder have the same area. </span>The cone has the smallest volume of the 2 figures. This is because the formula for the cylinder is b x h, the formula for the cone is 1/3(b x h) so if they have same height and base area cylinder would have larger volume because, for the cylinder, a formula is one-third of b x h. Hope I helped!! : )
hope this helps you
Answer:
$1,216
Step-by-step explanation:
Costs for Handsome Homes fabric
Area (sq. ft.) Cost (dollars)
(x) (y)
250 475
500 950
750 1,420
1000 1,900
If you divide any y-value by its corresponding x-value, the quotient will be 1.9
This means that each square foot costs $1.90 at Handsome Homes
Discount Diggers = 20% per sq. ft. less than Handsome homes
Discount Diggers = $1.90 - 20%
Discount Diggers = $1.90(100 - 20%)
Discount Diggers = $1.90(0.8)
Discount Diggers = $1.52
Now that it is known how much 1 square foot of fabric costs at Discount Diggers, we need to find how much 800 square feet of fabric costs.
$1.52 = 1 sq. ft.
$1.52(800) = 800 sq. ft.
$1,216
800 square feet of landscape fabric at Discount Diggers costs $1,216
Hope this helps :)
Answer: the answer is C. 52 square meters
