Given:
A figure of dilation and the center of dilation is O.
To find:
The value of y.
Solution:
The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).
Where, k is the scale factor or constant of proportionality.
So, the scale factor for the given dilation is
We know that,
Divide both sides by 9.
Therefore, the value of y is 12.
1 and 1/2x+3/4x=5/8
combine x's
1 and 1/2x=4/4x+2/4x=6/4x
6/4x+3/4x=5/8=9/4x
9/4x=5/8
multiply both sides by 8
18x=5
x=5/18
x=5/18 or aprox 0.277777777777
13 3/4 + x = 7 1/4
becomes x = 13 3/4 / 7 1/4
13 3/4 = 55/4
7 1/4 = 29/4
55/4 / 29/4 = 55/4 * 4/29 = 220/116
220/116 reduces to 1 26/29
√6= 2.45 6+2.45=8.45 8.45 and 2/3 =9.12
answer to question 3 is 6+ √6
The fourth one idk if im right or not but im pretty sure its x³ - 12x² + 37x = 0
Descartes' rule of sign is used to determine the number of real zeros of a polynomial function. It tells us that the number of positive real zeroes in a polynomial function f(x) is the same or less than by an even numbers as the number of changes in the sign of the coefficients.
