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3 years ago

Cassidy is using six different pontominoes to make a rectangle

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:

Step-by-step explanation:

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craig scored 12 points in a game marla scored twice as many points as craig but 5 fewer points than nelson scored write an expre

12345 [234]

12(2)+5

Dang, you're an elementary school er? Good grief i'm and 8th grade math one student!

8 0

3 years ago

Find the roots of the following function:<br><br> y = x2 − 7x − 30

DIA [1.3K]

Answer:

x = 3, −10

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.

6 0

3 years ago

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

The cruising speed of the bullet train will be at least 170 miles per hour. Use s to represent the train's cruising speed (in mi

salantis [7]

Answer:

s ≥ 170

Step-by-step explanation:

The problem raises the following statement: "The cruising speed of the bullet train will be at least 170 miles per hour"

Which means that the train has a speed of 170 miles for now or higher, knowing this we can pose the inequality.

Knowing that "s" is the train's cruising speed (in miles per hour), we have to:

s ≥ 170

This would be the inequality that the statement represents.

6 0

3 years ago

Solve for a side in right angles picture added

Scrat [10]

I think it’s 160
Because 90+70=160

7 0

3 years ago

Read 2 more answers