Equation 1: -x-y = 1y, -x = 2y
Equation 2: 1y = x+3 , y = x+3
Substitute equation 2 into equation 1
-x = 2y
-x = 2(x+3)
-x = 2x + 6
-3x = 6
x = -2
Substitute x=-2 into equation 2
y = x+3
y = -2+3
y = 1
So, (x,y) = (-2,1)
Answer:
8 meters
Step-by-step explanation:
80 centimeters is like a one hundredth of 8 meters
Answer:
True , because all properties preserved under dilation from triangle abc to a'b'c'.
Step-by-step explanation:
Given : A triangle abc is dilated by a factor of 2/3 , result triangle a'b'c'
To find :After dilation, properties of triangle abc and a'b'c' is true or false.
Solution:
Dilation of a triangle are result either decrease or increase the corresponding length of triangle , its depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of triangle.here scale factor is 2/3 so corresponding sides of triangle a'b'c' decreases.
So, dilation of triangle are not congruent but similar to the original triangle abc
Therefore , basic properties of triangle preserved under dilation of triangle by a scale factor.
Answer:
C.
Step-by-step explanation:
Technically, none of these answers are correct because the domains need to be restricted. However, if you included imaginary numbers into the graph, then C. would be your best choice.
Answer:
2x² − 4x + 3
Step-by-step explanation:
x = 2/3 is a root of both the numerator and the denominator, so it divides evenly. Therefore, one method is to factor by grouping:
6x³ − 16x² + 17x − 6
6x³ − 4x² − 12x² + 17x − 6
2x² (3x − 2) − (12x² − 17x + 6)
2x² (3x − 2) − (4x − 3) (3x − 2)
Divided by 3x − 2:
2x² − (4x − 3)
2x² − 4x + 3
Another method is to use long division (see image).
