Contrapositive – the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.
Converse – the statement formed by exchanging the hypothesis and conclusion of a conditional statement. Counterexample – an example used to show that a given statement is not always true.
Answer:
A. they both have 4 right angles
B. a sqaure has 4 even sides, a rectangle doesnt
c. they both have 4 even sides
d. rhombi has 2 acute and 2 obtuse angles
e. Parallelograms are a quadrilateral where diagonals bisect each other, opposite sides are parallel by definition, opposite sides are congruent and consecutive angles are supplementary.
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
Y=x^2-5, solve for x
y+5=x^2
x=√(y+5) so
f^-1(x)=√(y+5)
A: number of nonfiction books
b: number of fiction books
a+b=2000
a=3b
b=500
a=1500
