Let the width be x m, then the length is 2x-7 m.
If the length is decreased by 1m, then new length is 2x-7-1=2x-8 m.
If the width is decreased by 4 m, then new width is x-4 m.
Find the perimeter of new recangle:
![P_{new}=2x-8+x-4+2x-8+x-4=6x-24.](https://tex.z-dn.net/?f=P_%7Bnew%7D%3D2x-8%2Bx-4%2B2x-8%2Bx-4%3D6x-24.)
The perimeter of new rectangle is 66 m, then
![6x-24=66,\\\\6x=66+24,\\\\6x=90,\\\\x=15.](https://tex.z-dn.net/?f=6x-24%3D66%2C%5C%5C%5C%5C6x%3D66%2B24%2C%5C%5C%5C%5C6x%3D90%2C%5C%5C%5C%5Cx%3D15.)
Therefore, old width was 15 metres and old length was 2·15-7=23 metres.
Answer: original width: 15 metres, original length: 23 metres
Answer:
Step-by-step explanation:
hello :
y=x²-10x+16 in the form y=(x-h)²+k
y= x²-2(5)(x)+16
y = x²-2(5)(x)+5²-9
y= (x-5)²-9 when h=5 and k = -9
To solve this problem you must apply the proccedure below:
1. You have that:
- Sarah sights the top of the statue of liberty at an angle of elevation of 61°.
- She is standing 166 feet from the base of the statue.
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- Sarah is 5.5 feet tall.
2. Therefore, the heigth of the statute is:
Tan(61°)=x/166
x=(166)(</span>Tan(61°)
x=299.47 feet
Height of the statue=299.47 feet+5.5 feet
Height of the statue=304.97 feet
Answer:
y = 3x + 2
Step-by-step explanation:
If the line is parallel, then the slope remains the same.
To find the y-intercept, just plug the coordinates into the equation
y = 3x + b
14 = 3(4) + b
14 = 12 + b
2 = b
The equation is y = 3x + 2