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3 years ago

Simplify the following expression. 2x^2 + 7x+ 3 / x^2 - 9

Mathematics

1 answer:

podryga [215]3 years ago

6 0

Answer:

(x3 - 3x2 - 6x - 3) • (2x - 1)

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Step-by-step explanation:

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A farmer has a field in the shape of a triangle. The farmer has asked the manufacturing class at your school to build a metal fe

Finger [1]

Answer:

Fencing required = 1586 m

Step-by-step explanation:

The given statements can be thought of a triangle $\triangle ABC$ as shown in the diagram attached.

A be the 1st vertex, B be the 2nd vertex and C be the 3rd vertex.

Distance between 1st and 2nd vertex, AB = 435 m

Distance between 2nd and 3rd vertex, AC = 656 m

$\angle A =49^\circ$

To find:

Fencing required for the triangular field.

Solution:

Here, we know two sides of a triangle and the angle between them.

To find the fencing or perimeter of the triangle, we need the third side.

Let us use Cosine Rule to find the third side.

Formula for cosine rule:

$cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\Rightarrow cos 49^\circ = \dfrac{656^{2}+435^{2}-BC^{2}}{2\times 435\times 656}\\\Rightarrow BC^2 = 430336+189225-2 (435)(656)cos49^\circ\\\Rightarrow BC^2 = 430336+189225-570720\times cos49^\circ\\\Rightarrow BC^2 =619561-570720\times cos49^\circ\\\Rightarrow BC \approx 495\ m$

Perimeter of the triangle = Sum of three sides = AB + BC + AC

Perimeter of the triangle = 435 + 495 + 656 = 1586 m

Fencing required = 1586 m

4 0

3 years ago

Billy-Bob has a piggy-bank filled with nickels and quarters totaling $11.90.

Lunna [17]

Answer:

x = 33

y = 41

Step-by-step explanation:

GIven

x: number of nickels

y: number of quarters

A nickel = $0.05

A quarter = $0.25

then we have the system of equations

0.05*x + 0.25*y = 11.90

x + y = 74

Which can be solved applying any of known methods. Then, the solution is

x = 33

y = 41

hope this was helpful.

4 0

3 years ago

How do i complete this with quadratics?

Bond [772]

I hope this helps you

log6 [x. (2x-7)]=log6 (6^2)

x. (2x-7)=36

2x^2-14x-36=0

2x +4

x -9

(2x+4)(x-9)=0

x= -2

x=9

7 0

3 years ago

If y varies directly as x and the constant variation is -2, which equation represents this relationship?

kozerog [31]

Answer:

y = -2x

Step-by-step explanation:

If y varies directly with x, it is:

y = kx

Constant is -2, it means k= -2

y = - 2x

4 0

3 years ago

A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling

Nastasia [14]

<h3>Answer: 1/12</h3>

This is because there's one side we want (that's labeled "8") out of 12 sides total. This is of course if each side is equally likely.

Side note: this 12-sided die is known as a dodecahedron.

7 0

3 years ago