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Square Pyramid -- Distances

Submitted by ladislav.foltyn on Wed, 05/01/2019 - 15:58

Question:

The base $ABCD$ of a square pyramid $ABCDV$ has an edge of $6\,\mathrm{cm}$. The height of the pyramid is $8\,\mathrm{cm}$. Let $S$ be the midpoint of the base, $P$ the midpoint of the edge $AV$, and $Q$ the midpoint of the edge $CV$ (see the picture). Find the distance between

Cube -- Distances I

Submitted by ladislav.foltyn on Wed, 05/01/2019 - 15:20

Question:

The cube $ABCDEFGH$ shown in the picture has edges of length $12\,\mathrm{cm}$. Let $S$ be the midpoint of the base $ABCD$. Find the distance between

Points, Segments, Rays and Lines

Submitted by ladislav.foltyn on Fri, 04/19/2019 - 18:26

Question:

Find the correct symbolic notation of the statements.

Fifth Term of Arithmetic Sequence

Submitted by ladislav.foltyn on Fri, 04/19/2019 - 18:11

Question:

Find the $5$th term of the given arithmetic sequence, where $a_n$ is its $n$th term, $d$ is its common difference, and $s_n$ is the sum of the first $n$ terms of this sequence.

Integers from a Set

Submitted by ladislav.foltyn on Wed, 04/17/2019 - 21:56

Question:

Determine how many integers belong to the given set.

Divisibility by 12

Submitted by ladislav.foltyn on Wed, 04/17/2019 - 21:26

Question:

Of what value must $\rho$ be, so that the given number is divisible by $12$? From the answers offered, select all the correct ones.

Degree of Polynomial

Submitted by ladislav.foltyn on Wed, 04/17/2019 - 20:27

Question:

Without multiplying, find the degree of the product of polynomials $p$ and $q$.

Absolute Value Expressions II

Submitted by ladislav.foltyn on Mon, 04/15/2019 - 22:11

Question:

Evaluate the following expressions for given $x$ and choose the correct answer.

Equation and Centre of Hyperbola

Submitted by ladislav.foltyn on Wed, 03/27/2019 - 13:40

Question:

In the table, mark equations of all hyperbolas with the center given in the first column.

Domains of Functions

Submitted by ladislav.foltyn on Mon, 03/04/2019 - 20:09

Question:

In each line of the table choose all the functions whose maximal possible domain is equal to the given set.

B

Square Pyramid -- Distances

Cube -- Distances I

Points, Segments, Rays and Lines

Fifth Term of Arithmetic Sequence

Integers from a Set

Divisibility by 12

Degree of Polynomial

Absolute Value Expressions II

Equation and Centre of Hyperbola

Domains of Functions

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