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
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Answer:
-1/240 (Might be wrong though)
Step-by-step explanation:
The first thing we need to do is multiply 1/15 and 1/16 because product means the answer to a multiplication equation.
1/15 times 1/16 = (1*1)/(15*16) = 1/240
Now that we know the product 1/240, we just have to find the opposite, which is -1/240 because you just add a negative sign in opposites( even in negative numbers)
Whole numbers are positive numbers without decimals. First, list all the whole number factors of 36:
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6
Next, see which one of those pairs has the highest sum:
1+36=37
2+18=20
3+12=15
4+9=13
6+6=12
The greatest possible sum the numbers can have is 37.
Hope this helps!!
For the first quarter you would use the equation of $2000+(2000 times 0.08)=the money for the first quarter or $2160. the second quarters equation is $2000+(2000 times 0.08)2= the money for the second quarter or $2320. the thirds quarters equation is $2000+(2000 times 0.08)3= the money for the third quarter or $2480. The fourth quarters equation is $2000+(2000 times 0.08)4=the money for the fourth quarter or $2640.
