The distance between the points (d) is found using the Pythagorean theorem.
Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
d² = 4² + 7²
d² = 16 + 49
d² = 65
d = √65 ≈ 8.1
The distance between the points is
C 8.1_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.
Answer
Dilations is a transformation that produces an image that is the same shape as A description of a dilation includes the scale factor (or ratio) and the center of the Most dilations in the coordinate plane use the origin, (0,0), as the center of the. the center of the dilation at point A to the other points B, C and D. The dilation
Answer:
w-2u-v
Step-by-step explanation:
Given are three vectors u, v and w.
In R^2 we treat first element as x coordinate and 2nd element as y coordinate.
Thus we mark (1,2) in the I quadrant, (-3,4) in II quadrant and (5,0) on positive x axis 5 units form the origin.
b) 
We have to find the values of a and b
]
Equate the corresponding terms

Divide II equation by 2 to get

Eliminate a
-5 = 5b: b=-1
a=-2
Hence
w = 2u-v
Step-by-step explanation:
