Answer: A reflection (Across the y-axis)
Step-by-step explanation:
Transformation possiblitites:
Translation: After plotting the points you gave I came to the conclusion that a translation could not be the right transformation due to the fact that the point would move away the same units on a graph as the original point.
Rotation: The new point doesn't seem when graphed to have rotated, as it remained across from the orignial point on the graph.
Dilation: The new point if dilated wouldn't be in close proximity with the original point.
The ratio of their bases = 3√3 : 8
Step-by-step explanation:
Given,
The ratio of the volume of two cylinders is 27:64.
To find the ratio of the diameters of the cylinders of their base.
Formula
Let, the radius and height of a cylinder is r and h. The volume of the cylinder V = πr²h
Let,
Radius of cylinder 1 is R and the radius of the cylinder 2 is r.
The height of the both cylinder is h.
According to the problem,
πR²h= 27a and πr²h= 64a
So,
πR²h : πr²h = 27a:64a
or, R²:r² = 27:64
or, R:r = 3√3 : 8
Hence,
The ratio of their bases = 3√3 : 8
Well yes, one triangle can be constructed, but you wouldn't recognize it.
One of its angles is 180 degrees and the other two are both zero degrees.
Anybody who looks at it would think it's just a straight line segment, 9 cm long.
Answer:
The constant of proportionality is 0.3, or K=0.3.
Step-by-step explanation:
The chart I attached shows points that are plotted on the proportional line. In order to find the constant of proportionality from these points, you have to divide the amount of change by the number of years. For example, 3 divided by 10 or 6 divided by 20. This results in 0.3, which means that every year, there is 0.3 centimeters of change in the sea level.
Answer:
x = - 2, x = 7
Step-by-step explanation:
Given
f(x) = 4x² - 20x - 56
To find the zeros let f(x) = 0, that is
4x² - 20x - 56 = 0 ( divide through by 4 )
x² - 5x - 14 = 0 ← in standard form
(x - 7)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 7 = 0 ⇒ x = 7
