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3 years ago

Can anyone pls help me in dis pls

Mathematics

2 answers:

Leya [2.2K]3 years ago

6 0

1. squaring

2. four triangles and the square with side length "c"

3. big square (side length: a+b)

n200080 [17]3 years ago

5 0

Answer:

1. squaring its side length

2. the for triangles and the inner square or the 4 "Cs"

3. they find the area of the bigger square or the outer square

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Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$

horrorfan [7]

Answer:

$A +B+C+D = 3$ is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

$A+B+C+D = ?$ if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under $\sqrt$ (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

$\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \ (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}$

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, $A +B+C+D = 5+6-10+2 = \bold3$

5 0

3 years ago

f is an even function. a = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is lab

Lady_Fox [76]

The values of a and b are 4 and -3

<h3>How to solve for (a) and (b)?</h3>

To solve for a, we make use of the function f(x).

x f(x)

2 4

0 5

2 a

3 7

Remove the x values 0 and 3

x f(x)

2 4

2 a

The above table implies that:

f(2) = 4 and f(2) = a

Substitute 4 for f(2) in f(2) = a

4 = a

Rewrite as:

a = 4

To solve for b, we make use of the function g(x).

x g(x)

2 b

0 0

2 -3

3 -4

Remove the x values 0 and 3

x g(x)

2 b

2 -3

The above table implies that:

f(2) = b and f(2) = -3

Substitute -3 for f(2) in f(2) = b

-3 = b

Rewrite as:

b = -3

Hence, the values of a and b are 4 and -3

Read more about functions at:

brainly.com/question/13153717

#SPJ1

<u>Complete question</u>

Use the Symmetry of a Function to Find Coordinates

f is an even function g is an odd function

x f(x) x g(x)

2 4 2 b

0 5 0 0

2 a 2 -3

3 7 3 -4

Find a and b

4 0

1 year ago

Order the sides or angles of the triangle from least to greatest

Iteru [2.4K]

Sides:6.7,9.3,9.5

Tell me if that helps

6 0

3 years ago

Is the figure an example of parallel lines?

evablogger [386]

Parallel lines are a pair of lines that do not intersect

Therefore this is not an example of parallel lines because the lines intersect

The answer is C

5 0

2 years ago

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Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew

slamgirl [31]

Answer:

Step-by-step explanation:

11x5+10=65

6 0

2 years ago

Read 2 more answers