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trasher [3.6K]
2 years ago
14

(see image) please help I need help with this math problem * i give brainlist

Mathematics
1 answer:
Leni [432]2 years ago
8 0
Answer: a) g(x)=(x-5)^2-6
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A rectangular parcel of land has an area of 6,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o
Drupady [299]

Answer:

50ft by 120ft

Step-by-step explanation:

Area of a rectangle = L × W

6000ft² = L × W

L = 6000/W

When a diagonal line divides a rectangle into 2 right angled triangles, the diagonal line = Hypotenuse of either of the triangle and it is the longest side.

The formula for a right angle triangle =

a² + b² = c²( c = hypotenuse)

We are told in the question that:

A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel

Let us assume the side that the hypotenuse is longer than = Width

Hence, the Diagonal = (W + 10)²

Therefore

L² + W² = (W + 10)²

Since L = 6000/W

W² + (6000/W)² = (W + 10)²

W² + (6000/W)² = (W + 10) (W + 10)

W² + (6000/W)² = W² + 10W + 10W + 100

W² + (6000/W)² = W² + 20W + 100

W² - W² + (6000/W)² = 20W+ 100

6000²/W² = 20W + 100

6000² = W²( 20W + 100)

6000² = 20W³ + 100W²

20W³ + 100W² - 6000² = 0

20W³ + 100W² - 36000000 = 0

20(W³ + 5W² - 1800000) = 0

Factorising the quadratic equation,

20(W − 120)(W² + 125W + 15000) = 0

W - 120 = 0

W = 120

Therefore,

W(Width) = 120feet

Since the Width = 120 feet

We can find the length

6000ft² = L × W

L = 6000/W

L = 6000/120

L = 50 feet

The dimensions of the land, correct to the nearest foot is 50ft by 120ft

3 0
3 years ago
El lado de un cuadrado de su area es de 432m2
kari74 [83]

Answer:

Todos los lados de un cuadrado son iguales. Hay 4 lados en un cuadrado. Entonces, para encontrar un lado, debemos dividir el área por 4.

432/4 = 108, Un lado del cuadrado mide 108 metros.

4 0
2 years ago
Help plz this is a mastery test
oee [108]

Answer:

8 1/30

Step-by-step explanation:

Calculate by converting into improper fractions.

7 0
2 years ago
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Which of the following is NOT approximately equivalent to one of the metric units
dmitriy555 [2]

Answer:

Poundsis not equivalent to one of the metric units, that is WEIGHT.

5 0
3 years ago
The sun is 93,000,000 miles from Earth. What is the value of the 3 in the number 93,000,000
Lostsunrise [7]

Answer:

three million

Step-by-step explanation:

3 0
3 years ago
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