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madreJ [45]
3 years ago
14

What are the solutions of the quadratic equation 4x^2-8x-12=0

Mathematics
1 answer:
Wewaii [24]3 years ago
6 0

Answer:

<h3>          x₁ = -1,   x₂ = 3</h3>

Step-by-step explanation:

4x^2-8x-12=0\\{}\qquad\qquad^{\div4\qquad\div4}\\x^2-2x-3=0\\\\x^2+x-3x-3=0\\\\x(x+1)-3(x+1)=0\\\\(x+1)(x-3)=0\\\\x+1=0\quad\vee\quad x-3=0\\\\x=-1\quad\vee\quad x=3

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Find the dimensions of an American football field. The length is 200 ft more than the width, and the perimeter is 1,040 ft. Find
natka813 [3]

Answer:

The width of the football field is 160 feet.

The length of the football field is 360 feet.

Step-by-step explanation:

Let w represent width of the football field.

We have been given that the length is 200 ft more than the width, so the length of the field would be w+200.

We are also told that the perimeter is 1,040 ft. We know that football field is in form of rectangle, so perimeter of field would be 1 times the sum of length and width. We can represent this information in an equation as:

2(w+w+200)=1040

Let us solve for w.

2(2w+200)=1040

4w+400=1040

4w+400-400=1040-400

4w=640

\frac{4w}{4}=\frac{640}{4}

w=160

Therefore, the width of the football field is 160 feet.

Upon substituting w=160 in expression w+200, we will get length of field as:

w+200\Rightarrow 160+200=360

Therefore, the length of the football field is 360 feet.

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3 years ago
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slamgirl [31]

Answer:

10%

Step-by-step explanation:

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3 years ago
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Cotθ= tan30° find theta
scoundrel [369]

Answer:

60

Step-by-step explanation:

Cot is the same as 1/tan so:

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By rearranging the equation, we get:

1/tan(30) = tan(theta)

By taking the inverse tan, we get:

theta = tan^-1 (1/tan(30)) =60

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