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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3x-11=17-4x add 4x to both sides
7x-11=17 add 11 to both sides
7x=28 divide both sides by 7
x=4
The number which could be added to both sides of the equation to complete the square is; -2.25.
<h3>Which number could be added to both sides of this quadratic equation to complete the square?</h3>
The quadratic equations give in the task content is; 1=x²-3x. Hence, to express the equation by completing the square method; we have;
1 - 2.25 = (x -3/2)² - 2.25
Hence, the number which should be added to both sides of the equation is; -2.25.
Read more on completing the square;
brainly.com/question/10449635
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Step-by-step explanation:
since we know, she can run 360 ft per minute, and we want to know how many minutes she would need to run 500 yards we need to find out how often 360 ft fit into 500 yards.
so,
500 yards / 360 ft
how can we make this division ?
help is given to us by taking us that 1 yard = 3 ft.
aha !
so, 500 yards = 500×3 ft = 1500 ft
therefore, our task now looks like
1500 ft / 360 ft
and this we understand and can do, right ?
1500 / 360 = 150/36 = 75/18 = 4 3/18 = 4 1/6 minutes
the closest answer option is therefore 4.2, meaning she would take about 4.2 minutes to run 500 yards.
Answer:
11cm = diameter.
c=circumference
d=diameter
π=3.14
r=half of diameter
34.56
C=2πr
d=2r
Solving for d (diameter)
d=C
π=34.56
π≈11.00079cm
rounded = 11cm!
You promised brainlest! Please!!
Step-by-step explanation:
