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Step-by-step explanation:
let eqn be y = mx + b.
2x + 9y = 8
9y = -2x + 8
y = -2/9 x + 8/9
since the lines are perpendicular, product of the slope of the two lines = -1.
hence,
m x -2/9 = -1
m = 9/2
sub (0, -3):
-3 = 9/2(0) + b
b = -3
therefore equation is: y = 9/2x - 3
Topic: coordinate geometry
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Answer:
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Step-by-step explanation:
Step-by-step explanation:
If T:Rn→Rm is a linear transformation and if A is the standard matrix of T, then the following are equivalent:
1. T is one-to-one.
2. T(x) = 0 has only the trivial solution x=0.
3. If A is the standard matrix of T, then the columns of A are linearly independent.
Here, A is a mxn matrix where m ≥ n and the rank of A equals n. It implies that the columns of A are linearly independent, for, otherwise, the rank of A would be less than n. Hence the linear transformation represented by A is one-to-one.
The expression simplifies to 13.
There are no exponents or parentheses, so that can be skipped. Start with multiplication and division from left to right.
25-4×9÷2+12÷4×2
25-36÷2+3×2
Add and subtract from left to right.
25-18+6
7+6
13
