If

is invertible, then we can simply choose

because for any invertible matrix

by definition we must have

.
We have

, as

which means

is non-singular and has an inverse. The inverse itself would be
(x; y)
The domain is x.
The range is y.
Therefore
(4; -4) → x = 4; y = -4
(2;-3) → x = 2; y = -3
(-5; 1) → x = -5; y = 1
if is (-4; -1) not (4; -1) then
(-4; -1) → x = -4; y = -1
The DOMAIN = {-5; -4; 2; 4}
The RANGE = {-4; -3; -1; 1}
If is (4; -4) and (4; -1) then it is not a function.
Answer:
18
Step-by-step explanation:
AB = AW + WB
But AW also equals WB because of the bisecting point
x + 6 = 3x
6 = 2x
x = 3
AW = 3 + 6 = 9
WB = 3(3) = 9
9 + 9 = 18°
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-Chetan K
Answer: 14450
Step-by-step explanation:
15% of 17000 is 2550. 17000-2550 is 14450
Answer:
Answer:
x = √70
Step-by-step explanation:
The triangles shown are all similar, so the corresponding sides are proportional.
hypotenuse/long side = x/7 = (7+3)/x
Cross-multiplying gives ...
x^2 = 7(10)
x = √70
_____
You will note that the value of x (the long side) is the geometric mean of the long segment and the whole hypotenuse.
A similar "geometric mean" relation holds for the short side:
BC = √(CD·CA)
There is yet another "geometric mean" relation that holds for the altitude:
BD = √(CD·AD)
Step-by-step explanation:
HOPE THIS HELPS