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:
There are 64,000 possible codes. Jillian is incorrect, since he added the possible options in each trial, instead of multiplied them(he did 40+40+40 instead of 40*40*40).
Step-by-step explanation:
From 0 to 39, there are 40 numbers.
The code has three values:
V1 - V2 - V3
When we have n trials with m possible options, the total number of opitons is:
In this question:
3 trials(values), with 40 options. So
There are 64,000 possible codes. Jillian is incorrect, since he added the possible options in each trial, instead of multiplied them(he did 40+40+40 instead of 40*40*40).
Answer:
Step-by-step explanation:
<u>According the the picture we have:</u>
- The triangles have two congruent sides and one non-included angle.
It means we don't have sufficient information to state the triangles are congruent.
Correct choice is B
Factor out the common term "2".
2(13x+2y) = 54
Now, divide both sides by 2.
13x + 2y = 54/2. <-- <u>We could not divide into a whole number so it's a fraction.</u>
<u />
Simplify 54/2 to 27.
13x + 2y = 27 <--- <u>Since we have a whole number without a letter, we are done with that side.</u>
<u />
Now, we subtract 2y from both sides.
13x = 27 - 2y
Divide both sides by 13.
x = 27 - 2y/13.
<h3>Therefore, we get <u>x = 27 - 2y/13</u></h3>
That would be our final answer.
Good luck on your assignment!
- Emacathy
Steps:
216 mm3 is the volume.
Given the volume, you can take the cube root of the volume to find the side.
The cube root of 216 is 6.
Answer: 6
