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3 years ago

Simplify (3x2 + 2x - 3) (x + 5)

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

5 0

Answer:

3(x)^3 + 2(x)^2 + 22x - 15

Step-by-step explanation:

(3(x)^2 + 2x - 3) (x + 5)

=>(3(x)^2 + 2x - 3) (x) + (3(x)^2 + 2x - 3) (5)

=>3(x)^3 + 2(x)^2 - 3x + 15x + 10x - 15

=>3(x)^3 + 2(x)^2 + 22x - 15

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A neighborhood development that is 4 acres is to be divided into 2/3 acre lots. How many lots can be created?

Brilliant_brown [7]

Answer:

Step-by-step explanation:

4 = 12/3

12/3 divided by 2/3 = 6

2/3

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12/3

The answer is 6

7 0

3 years ago

Triangle ABC has been reflected over the x-axis to create triangle A'B'C'. Which of the following statements is true?

Leto [7]

Answer:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

=======================================================

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)

Point B = (0, 3) becomes B ' = (0, -3)

Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

Step-by-step explanation:

7 0

3 years ago

How to solve for x and y

Minchanka [31]

Answer-

The values of x and y are 20° and 30, respectively.

Solution-

As in the given triangle all the angles are same so it must a equilateral triangle.

In an equilateral triangle all the measurements of the angles and side length are same. The measurement of the angels are 60°.

As given in the question one side length is 46, so all the side length are same.

So,

$\Rightarrow y+16=46\\\\\Rightarrow y=46-16\\\\\Rightarrow y=30$

We know that an exterior angle of a triangle is equal to the sum of the opposite interior angles. 80° is the exterior angle opposite to x and one angle of triangle at the top vertex.

$\Rightarrow 80^{\circ}=x+60^{\circ}$