All categories

3 years ago

What is the maximum number of squares that could be formed using four of the dots in the unit grid as vertices.

Mathematics

2 answers:

soldi70 [24.7K]3 years ago

8 0

22 is the maximum number of squares that can be formed

lina2011 [118]3 years ago

6 0

5 yup tup yup tupyjjrjrjr

You might be interested in

Convert 29,000 mm2 into cm2

torisob [31]

Answer:

290 cm2

Step-by-step explanation:

7 0

3 years ago

Which climate zone generally receives the least amount of the

Delicious77 [7]

Answer:

d) subpolar zone

3 0

3 years ago

PLEASE HELP

Mila [183]

Answer:

The value of b = -2.7

Step-by-step explanation:

Given

As the equation is given by

$-5=b-2.3$

To determine

Solve the equation for b

Given the equation

$-5=b-2.3$

switch the sides

$b-2.3=-5$

Add 2.3 to both sides

$b-2.3+2.3=-5+2.3$

Simplify

$b=-2.7$

Therefore, the value of b = -2.7

4 0

3 years ago

Read 2 more answers

Consider the graph of the linear function h(x) = –x + 5. Which could you change to move the graph down 3 units?

Feliz [49]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind, let's see

$\bf h(x)=-x+5\implies h(x)=\stackrel{A}{-1}(\stackrel{B}{1}x\stackrel{C}{+0})\stackrel{D}{+5}$

a shift down by 3 units, means a vertical shift downwards, so D needs to drop by 3 units.

$\bf h(x)=\stackrel{A}{-1}(\stackrel{B}{1}x\stackrel{C}{+0})\boxed{\stackrel{D}{+5-3}}\implies h(x)=-1(1x+0)+2
\\\\\\
h(x)=-x+2$

4 0

3 years ago

Give a combinatorial proof that the cardinality of the power set of a finite set A is 2^|A|

juin [17]

There are $\dbinom{|A|}k$ ways of building a subset of $k$ elements from $A$ , so the total number of subsets you can build is