For any arbitrary 2x2 matrices

and

, only one choice of

exists to satisfy

, which is the identity matrix.
There is no other matrix that would work unless we place some more restrictions on

. One such restriction would be to ensure that

is not singular, or its determinant is non-zero. Then this matrix has an inverse, and taking

we'd get equality.
Answer:
see below
Step-by-step explanation:
dilation with a scale factor of 1/3 means the distances to the center shrink by 1/3
so for center (4,-2)
distance of (7,4) is 3 n 6 to center
1/3 of distance = 1 n 2
so (7,4) become (4+1, -2+2) = (5, 0) after the dilation
similarly u can find the other 2 pts
distance of (-2,4) is -6 n 6 to center
1/3 of distance = -2 n 2
so (-2,4) become (4-2, -2+2) = (2, 0) after the dilation
distance of (1, 10) is -3 n 12 to center
1/3 of distance = -1 n 4
so (1,10) become (4-1, -2+4) = (3, 2) after the dilation
plot the new triangle using the 3 pts
Step-by-step explanation:
Distance between points (-7, 2) and (-2, 14) is 13
Answer:
Quality Plumbing charges more per hour.
In the graph, you can see that it would cost $150 for their work plus $100 per hour based on the slope of the line.
A Plus Plumbing charges $140 for their work plus $60 per hour.
Explanation:
The circumference and the are of a circle with radius r
are:

If we use pi = 3.14 and the radius is 9m:


Answers:
• Area: ,254.34 m²
,
• Circumference: ,56.52 m