Answer:
Step-by-step explanation:
1). Equation of a line which has slope 'm' and y-intercept as 'b' is,
y = mx + b
If slope 'm' = 1 and y-intercept 'b' = -3
Equation of the line will be,
y = x - 3
x - y = 3
2). Equation of a line having slope 'm' and passing through a point (x', y') is,
y - y' = m(x - x')
If the slope 'm' = 1 and point is (-1, 2),
The the equation of the line will be,
y - 2 = 1(x + 1)
y = x + 1 + 2
y = x + 3
x - y = -3
3). Equation of a line passing through two points
and
will be,

If this line passes through (-2, 3) and (-3, 4),

y - 3 = -1(x + 2)
y = -x - 2 + 3
y = -x + 1
x + y = 1
K= 100
You use distributive property
<span>
Step 1: </span><span>−(−k)−1(−86)+10=−4
Step 2: </span><span>k−1(−86)+10=−4
Step 3: </span><span>k+86+10=−4
Step 4: </span><span>k+96=−4
Step 5: </span><span>k=−96−4
Step 6: </span><span>Subtract </span>4<span> from </span><span>−96</span><span> to get </span><span><span><span>−100</span>.</span></span>
Given:
The matrix statements in the options.
To find:
The answer choice that show the commutative property does not hold for matrix multiplication.
Solution:
We known that matrix multiplication is not commutative. if A and B are two non-zero matrices, then

Let us assume,

According to the above property of the matrix, we get

Therefore, the correct option is B.
P = 1150, r = 9% = 0.09 per year, n = 2 years.
A = P(1 + r)ⁿ
A = 1150(1 + 0.09)²
A ≈ 1150(1.09)² ≈ 1366.32
<span>
Amount </span> ≈ $ <span>1366.32</span>