English: The length of a rectangle is 5 yd less than three times the width, and the area of the rectangle is 50 yd. Find the dimensions of the rectangle.

The length of a rectangle is 5 yd less than three

Ответ:

gabestrickland2

24.12.2021

$\large\huge\green{\sf{-}}$

$The width is 5m and the length is 10m.Step-by-step explanation:Rectangle:Has two dimensions: Width(w) and length(l).It's area is:A = w*lA=w∗lThe length of a rectangle is 5m less than three times the widthThis means that l = 3w - 5l=3w−5The area of the rectangle is 50m^(2)This means that A = 50A=50 . SoA = w*lA=w∗l50 = w*(3w - 5)50=w∗(3w−5)3w^{2} - 5w - 50 = 03w2−5w−50=0Solving a quadratic equation:Given a second order polynomial expressed by the following equation:ax^{2} + bx + c, a\neq0ax2+bx+c,a=0 .This polynomial has roots x_{1}, x_{2}x1,x2 such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})ax2+bx+c=a(x−x1)∗(x−x2) , given by the following formulas:x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}x1=2∗a−b+△x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}x2=2∗a−b−△\bigtriangleup = b^{2} - 4ac△=b2−4acIn this question:3w^{2} - 5w - 50 = 03w2−5w−50=0Soa = 3, b = -5, c = -50a=3,b=−5,c=−50\bigtriangleup = (-5)^{2} - 4*3*(-50) = 625△=(−5)2−4∗3∗(−50)=625w_{1} = \frac{-(-5) + \sqrt{625}}{2*3} = 5w1=2∗3−(−5)+625=5w_{2} = \frac{-(-5) - \sqrt{625}}{2*3} = -3.33w2=2∗3−(−5)−625=−3.33Dimension must be positive result, soThe width is 5m(in meters because the area is in square meters).Length:l = 3w - 5 = 3*5 - 5 = 10l=3w−5=3∗5−5=10The length is 10 meters$

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Ответ:

4804102262

03.06.2021

English

0 = ran

1 = to send

2 = attacked

3 = was surrounded

4 = managed

5 = built

6 = thought

7 = hidden

8 = destroyed

Explanation:

i know it says don't copy the passage, but i'll put it here in case you wanna read anyway because it can help you see how the passage flows.

passage:

In 1250 BC, the Greeks and Trojans (now in Turkey) were at war because Helen the beautiful wife of a Greek king, RAN away with Paris, the Prince of Troy. The Trojans refused TO SEND Helen back, so the Greeks ATTACKED Troy. However, Troy WAS URROUNDED by high walls and the Greeks were unable to get in. For ten long years they tried, but never MANAGED to break down the walls. Finally, oen fo their leaders, Ulysses, came up with a tricky plan. They BUILT a huge wooden horse on wheels in which some men could hide in and left it at the gates of Troy. The Trojans THOUGHT the horse was a Grek Idol, and pulle dit into the city. In the middle of the night the HIDDEN Greek soldiers climbed out of the horse and opened the gates for the other soldiers. They DESTROYED the city and took Helen back to Greece.

P.S. this passage is pretty fun to read since it's about helen of troy and the trojan war/trojan horse!

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The length of a rectangle is 5 yd less than three times the width, and the area of the rectangle is 50 yd. Find the dimensions of the rectangle.

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