ASAP Find the perimeter of a quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3).
12 units
16 units
20 units
24 units

Solved

Show answers

Ответ:

JaredO

26.06.2020

Mathematics

Let x,y be the two numbers. We have two pieces of information:

x-y=2 (the difference between the two numbers is 2)

xy=224 (their product is 224)

From the first equation, we can deduce x=y+2

If we plug this expression in the second equation, we have

$xy = (y+2)y = 224 \iff y^2+2y-224 =0$

If you solve this equation with the usual quadratic formula you get the solutions

$y=-16,\quad y=14$

So, you have the following couple of solutions, recalling that x is 2 more than y:

$\begin{cases} x = -14\\y=-16\end{cases},\quad\begin{cases} x = 16\\y=14\end{cases}$

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice

ASAP Find the perimeter of a quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3). 12 units 16 units 20 units 24 units