Answer:
Y' (5, -3), Z' (3, -2)
Step-by-step explanation:
The translation is right 4 and down 1. Since you are going from (3, -4) to (7, -5), to get from 3 to 7 on the x axis you move right 4. To get from -4 to -5 on the y axis, you go down 1.
Y (1, -2) add 4 to the x value. 1 + 4 = 5. Add -1 to the y value. -2 + -1 = -3. Y' (5, -3)
Z (-1, -1). Add 4 to the x value. 4 + (-1) = 3. Add -1 to the y value. -1 + (-1) = -2.
Answer:
-8
Step-by-step explanation:
i feel its correct
'is' in mathematics means equal
<span>'of' in mathematics means multiplication
72% can also be written as 72/100
We are solving for the variable 'x'
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The Laplace transform is then

Let
denote the integral we want to compute. Integrating by parts, setting


gives

Integrate by parts again, setting


Then




Answer:
k = 13
Step-by-step explanation:
Matrix is;
A =
[2 -5 9]
[-1 3 -5]
[ 7 1 k ]
Number of unknowns is less than the rank of 2. Thus, the determinant has to be zero for us to find k.
Thus, we have;
2((3 × k) - (-5 × 1)) -(-5)((-1 × k) - (-5 × 7)) + 9((-1 × 1) - (7 × 3)) = 0
Simplifying further gives;
2(3k +5) + 5(-k + 35) + 9(-22) = 0
6k + 10 - 5k + 175 - 198 = 0
k - 198 + 185 = 0
k - 13 = 0
k = 13