Answer:
option d
Step-by-step explanation:
AB = C
<em>Step 1: Multiply row 1 of matrix B by column 1, 2 and 3 of matrix A to get first column of C</em>
(2x-2)+(3x5)+(-5x-1) (2x-4)+(3x1)+(-5x-3) (2x2)+(3x5)+(-5x-4)
= (-4+15-5 -8+3+15 4+15+20)
= (16 10 39)
<em>Step 2: Multiply row 2 of matrix B by column 1, 2 and 3 of matrix A to get second column of C</em>
(5x-2)+(-4x5)+(2x-1) (5x-4)+(-4x1)+(2x-3) (5x2)+(-4x5)+(2x-4)
= (-10-20-2 -20-4-6 10-20-8)
= (-32 -30 -18)
<em>Step 3: Multiply row 3 of matrix B by column 1, 2 and 3 of matrix A to get third column of C</em>
(-1x-2)+(-1x5)+(3x-1) (-1x-4)+(-1x1)+(3x-3) (-1x2)+(-1x5)+(3x-4)
= (2-5-3 4-1-9 -2-5-12)
= (-6 -6 -19)
<em>Step 4: Form the whole matrix</em>
(16 10 39)
(-32 -30 -18 )
(-6 -6 -19 )
Therefore, option d is correct.
Answer:
The equation of the circle is (x - 3)² + (y + 2)² = 9
Step-by-step explanation:
The form of the equation of a circle is (x - h)² + (y - k)² = r², where
- h is the x-coordinate center of the circle
- k is the y-coordinate of the center of the circle
- r is the radius of the circle
∵ The center of a circle is (3, -2)
∴ x-coordinate of the center is 3
∴ y-coordinate of the center is -2
∴ h = 3 and k = -2
∵ The radius of the circle is 3
∴ r = 3
→ Substitute them in the form of the equation above
∵ (x - 3)² + (y - -2)² = (3)²
∴ (x - 3)² + (y + 2)² = 9
∴ The equation of the circle is (x - 3)² + (y + 2)² = 9
Answer:
(-3, -4)
Step-by-step explanation:
Handy fact: the average of two numbers is exactly halfway between them.
To find the midpoint, average the x-coordinates; average the y-coordinates.
(1 + -7)/2 = -6/2 = -3
(-8 + 0)/2 = -8/2 = -4
The midpoint is (-3, -4).
Answer:
same as the answer of him or her
Step-by-step explanation:
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Answer:
5 divided by 5 will be 1.
Step-by-step explanation:
Since Alex has 5 lizards and divides them in 5 cages then one in each will make it equal.
