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
x=3/2-1/4
8x+2y=12
move the variable to the right side and change the sign.
8x=12-2y
divide both sides of the equation by 8
x=3/2-1/4y
the final solution is
x=3/2-1/4y
Answer:
4 1/4 + 3 1/4 = 7 1/2
Step-by-step explanation:
To make 1/4 to 1/2 You would need 1/4, because 2/4 make 1/2
7-4= 3 so therefore you would have 3 1/4
Rewrite <span>88</span> as <span><span><span>22</span>⋅2</span><span><span>22</span>⋅2</span></span>.Factor <span>44</span> out of <span>88</span>.<span><span>√<span>4<span>(2)</span></span></span><span>42</span></span>Rewrite <span>44</span> as <span><span>22</span><span>22</span></span>.<span><span>√<span><span>22</span>⋅2</span></span><span><span>22</span>⋅2</span></span>Pull terms out from under the radical.<span><span>2<span>√2</span></span><span>22</span></span>The result can be shown in both exact and decimal forms.Exact Form:<span><span>2<span>√2</span></span><span>22</span></span>Decimal Form:<span>2.82842712<span>…</span></span>
