Answer:
Step-by-step explanation:
I used Cramer's Rule to find y, since we can isolate and solve for individual variables using Cramer's Rule. Do that by finding the determinant of the matrix, |A|. The matrix A looks like this:
2 -2 1
-1 3 2
1 -4 -3
and we find the determinant of a 3x3 by expanding it. Do that by picking up the first 2 columns and throw them on at the end, like this:
2 -2 1 2 -2
-1 3 2 -1 3
1 -4 -3 1 -4
and find the determinant by multiplying along the 3 major axes and subtract from that the product of the 3 minor axes:
[(2*3*-3)+(-2*2*1)+(1*-1*-4)] - [(1*3*1)+(-4*2*2)+(-3*-1*-2)] which simplifies to
-18 - (-19) = 1
So the determinant of the matrix A is |A| = 1.
Now to find the determinant of Ay, we replace the y column with the solutions and so the same thing by expansion and then multiplying and subtracting:
2 -7 1 2 -7
-1 0 2 -1 0
1 1 -3 1 1
and find the determinant of y:
[(2*0*-3)+(-7*2*1)+(1*-1*1)] - [(1*0*1)+(1*2*2)+(-3*-1*-7)] which simplifies to
-15 - (-17) = 2
So the detminant of y is |Ay| = 2
We can solve for the variable now by dividing Ay by A:
2 / 1 = 2
So the solution for y = 2
Answer: Hope this helps you.
-2
Step-by-step explanation:
y = mx+b (B is y-int)
y = 4^x-2
-2 is clearly replacing the b (y-int) meaning b, the y-int, is -2
The first parallelogram is parallel but the second parallelogram is not parallel
the area of the shaded part is 30. 89 cm²
<h3>How to determine the area</h3>
We have the shape to be a rectangle
The area of the shaded part should be;
Area of rectangle - 2 ( area of a semi circle)
The formula for area of a rectangle
Area = length × width
Area = 12 × 12
Area = 144 cm²
Area of a semicircle = 1/2 πr²
Area = 1/ 2 × 3. 142 × 6²
Area = 56. 56 cm²
Area of shaded part = area of rectangle - 2( area of semicircle)
Area of shaded part = 144 - 2(56. 56)
Area of shaded part = 144 - 113. 11
Area of shaded part = 30. 89 cm²
Thus, the area of the shaded part is 30. 89 cm²
Learn more about area here:
brainly.com/question/14137384
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Answer:
False
Step-by-step explanation:
9+10=19. 10
+9
——
19
