Answer:
The sum of two numbers is 84:
u + y = 84
The difference of the two numbers is 32:
u - y = 32
Part A: r = d/t
Part B: 221760 feet per hour
Part C: 42 mph
Part D: Miles because we are measuring large distances
Answer:
Below!
Step-by-step explanation:
111.5
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:
12
Step-by-step explanation:
Simplifying
18x + -6y = 12
Solving
18x + -6y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6y' to each side of the equation.
18x + -6y + 6y = 12 + 6y
Combine like terms: -6y + 6y = 0
18x + 0 = 12 + 6y
18x = 12 + 6y
Divide each side by '18'.
x = 0.6666666667 + 0.3333333333y
Simplifying
x = 0.6666666667 + 0.3333333333y
