Answer:
792m^2
Step-by-step explanation:
Seperate your 2 rectangles
Large one is 18*30
Small one (60-18)*6
18*30 = 540m^2
42*6=252m^2
280 because if you divide 175 by 5 you get 35 which is the amount of miles the van travels in 1 hour and then you multiple 35 by 8 and you have your answer 280
Solution:
The given Polynomial is :
By Rational Root theorem the of Zeroes of the Polynopmial are:
But , 
So, no root of this polynomial is real.
Therefore, All the four roots of Polynomial are imaginary.
So, we can't say whether the number k=2, is an upper or lower bound of the polynomial .
The coordinates of triangle A′B′C′ is A′(2, 1), B′(1, 2), C′(3, 2)
On plotting the coordinates on the graph, it is found :
Option A is the coordinates of a straight line.
Option C is the coordinates of a bigger triangle
Option D has a different shape.
Only option B fulfills the required condition of similar shape and scale factor of 0.5 .
Vertices of a triangular garden:
A(4,2)
B(2,4)
C(6,4)
Scale factor = 0.5
What are the coordinates?
- A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
- Coordinates are numerical distances or angles that uniquely identify points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, scientists, and engineers use a variety of coordinate schemes.
Learn more about coordinates here: brainly.com/question/24513436
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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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