Answer:
x=1/3
Step-by-step explanation:
first multiply both bracket to together and then you get, 9x=3
x=1/3, then sub in to other equation and get the rest answer.
hope it helpful
Answer:
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.
Given that the inner circle has a radius of 1 r and the outer one has a radius of 2 r. To map the inner circle onto the outer circle, the inner circle would need to be enlarged. The scale factor is:
k = outer circle radius / inner circle radius = 2r / 1r = 2
A dilation with a scale factor of 2 would be needed to map the inner circle onto the outer circle.
That is:
(x, y) ⇒ (kx, ky)
9514 1404 393
Answer:
10 cm
Step-by-step explanation:
The diameter of the cylinder is 6 cm, so the length designated 'c' is the hypotenuse of a right triangle with legs 6 cm and 8 cm.
The Pythagorean theorem tells you the hypotenuse is ...
c^2 = (6 cm)^2 + (8 cm)^2 = 100 cm^2
c = √(100 cm^2) = 10 cm
The value of c is 10 cm.
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You may recognize these numbers as double those of a 3-4-5 right triangle.