Math. I NEED HELP. PLZ. I don't understand!

Mathematics

1 answer:

tatyana61 [14]4 years ago

6 0

You plot the points and use the distance formula to find the length of the lines between the points. Distance formula: d= $\sqrt{(}x_{2} -x_{1} )^2 + (}y_{2} -y_{1} )^2\\$

Then use the pythagorean theorem with the sides, (C^2=A^2+B^2, c=longest side) if the equation works then it is a right triangle.

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Which number line shows the solution set for |p-3|=9?

Mademuasel [1]

Answer:

Option b

$p = -6$ or $p = 12$

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function $f(x) = |x|$ x> 0 for all real numbers.

Then the equation:

$|p-3| = 9$ has two cases

$(p-3) = 9$ if $h > 3$ (i)

$-(p-3) = 9$ if $h < 3$ (ii)

We solve the case (i)

$p = 9 + 3\\p = 12$

We solve the case (ii)

$-p +3 = 9\\p = 3-9\\p = -6$

Then the solution is:

$p = -6$ or $p = 12$

3 0

3 years ago

2 of the dozen eggs in a cartoon are cracked about what percent of the carton is not cracked

pychu [463]

well, a carton has a dozen, namely 12 or the 100%, two were cracked.

if we know 12 is the 100%, what is 2 off of it in percentage?

$\bf \begin{array}{ccll}
amount&\%\\
\cline{1-2}
12&100\\
2&x
\end{array}\implies \cfrac{12}{2}=\cfrac{100}{x}\implies x=\cfrac{2\cdot 100}{12}\implies x=16.\overline{66}$