Answer is C, just multiply and expand.
Answer:
A, B, D, F
Step-by-step explanation:
Matrix operations require that the matrix dimensions make sense for the operation being performed.
Matrix multiplication forms the dot product of a row in the left matrix and a column in the right matrix. That can only happen if those vectors have the same dimension. That is the number of columns in the left matrix must equal the number of rows in the right matrix.
Matrix addition or subtraction operates on corresponding terms, so the matrices must have the same dimension.
The transpose operation interchanges rows and columns, so reverses the dimension numbers. It is a defined operation for any size matrix.
<h3>Defined operations</h3>
A. CA ⇒ (4×7) × (7×2) . . . . defined
B. B -A ⇒ (7×2) -(7×2) . . . . defined
C. B -C ⇒ (7×2) -(4×7) . . . undefined
D. AB' ⇒ (7×2) × (2×7) . . . . defined
E. AC ⇒ (7×2) × (4×7) . . . undefined
F. C' ⇒ (7×4) . . . . defined
Step-by-step explanation:
Z = 2x + 3
Putting value of x
Z = 2( - 16.7) + 3
Z = - 33.4 + 3
Z= - 30.4
Option B is the correct answer
Hello and Good Morning/Afternoon:
<u>Let's take this problem step-by-step</u>:
<u>What does the information want:</u>
<u>Let's gather some information</u>:
- ΔA'BC' and ΔABC are similar triangles
⇒ Angle B is shared by both triangles
⇒ Angle A' and A are the same, as they are both on parallel
lines, A'C' and AC, and both angles are formed with the
same line AB
⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles
<u>If they are similar triangles</u>:
⇒ their side lengths are proportional to each other
⇒ let's set up a proportion
⇒ let's set up a proportion
<u>Answer:</u>
- <u>x= 17.143</u>
- <u>y = 26.25</u>
Hope that helps!
#LearnwithBrainly
So,
We need to convert the gallons into cups.
1 gal. = 16 c.
2 3/4 gal. = 2(16) + 3/4(16) = 32 + 12 = 44
3 5/8 gal. = 3(16) + 5/8(16) = 48 + 10 = 58
5 gal. = 5(16) = 80
There are 20 + 15 = 35 people. Therefore, Bob's friends will drink a total of 35 cups of lemonade, 35 cups of punch, and 35 cups of soda. We just need to subtract these amounts from what Bob has.
44 - 35 = 9 cups of lemonade
58 - 35 = 23 cups of punch
80 - 35 = 45 cups of soda
Obviously, then, Bob will have enough drinks.
He has 9 cups of lemonade, 23 cups of punch, and 45 cups of soda left over. In gallons, he has 9/16 gallons of lemonade, 1 7/16 gallons of punch, and 2 13/16 gallons of soda left over.
