A dilation is a transformation, with center O and a scale factor of k
that is not zero, that maps O to itself and any other point P to P'.
The center O is a fixed point, P' is the image of P, points O, P and P'
are on the same line.
Thus, a dilation with centre O and a scale factor of k maps the original figure to the image in such a way that the<span>
distances from O to the vertices of the image are k times the distances
from O to the original figure. Also the size of the image are k times the
size of the original figure.
In the dilation of triangle TUV</span>, It is obvious that the image <span>T'U'V' is smaller than the original triangle TUV and hence the scale factor is less than 1.
</span>The ratio of the
distances from A to the vertices of the image T'U'V' to the distances
from A to the original triangle TUV is the scale factor.
The scale factor = 3.2 / 4.8 = 2/3
Answer:
The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers. We can convert a point slope equation into standard form by moving the variables to the left side of the equation.
Step-by-step explanation:
Answer:
64x^12 / y^20
Step-by-step explanation:
(4x^3y^-5)^4
<em>Distribute the exponential value of 4 to all terms in the parentheses.</em>
4^4 * x^(3*4) * y^(-5*4)
<em>Multiply each exponent.</em>
64x^12 * y^-20
<em>Make the negative exponent positive by making it a fraction.</em>
64x^12 / y^20
Answer:
Number of year in which population will be 180,000 = 6 year (Approx.)
Step-by-step explanation:
Given:
Population in 2007 = 168,979
Rate of increase in population = 1% = 0.01
Future population = 180,000
Find:
Number of year in which population will be 180,000
Computation:
A = P[1+r]ⁿ
Future population = Population in 2007[1+Rate of increase in population]ⁿ
180,000 = 168,979[1+0.01]ⁿ
180,000 = 168,979[1.01]ⁿ
1.06522 = [1.01]ⁿ
n = 6 (Approx.)
Number of year in which population will be 180,000 = 6 year (Approx.)
