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ad-work [718]
3 years ago
11

Which is a simplified form of the expression -4(3r – 2) – 2(r + 1)?

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

Answer:

2 (3 - 7 r)

Step-by-step explanation:

Simplify the following:

-4 (3 r - 2) - 2 (r + 1)

-4 (3 r - 2) = 8 - 12 r:

8 - 12 r - 2 (r + 1)

-2 (r + 1) = -2 r - 2:

-12 r + -2 r - 2 + 8

Grouping like terms, -2 r - 12 r - 2 + 8 = (8 - 2) + (-12 r - 2 r):

(8 - 2) + (-12 r - 2 r)

-12 r - 2 r = -14 r:

-14 r + (8 - 2)

8 - 2 = 6:

6 - 14 r

Factor 2 out of 6 - 14 r:

Answer: 2 (3 - 7 r)

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Find the product of the binomials,<br> (x - 3)(x + 2) (x + 4) =
erastovalidia [21]

Answer:

Step-by-step explanation:

(x - 3)(x + 2) (x + 4) =

x^3+3x^2-10x-24

6 0
2 years ago
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Define the term isomer
Tema [17]
Physics: each of two or more atomic nuclei that have the same atomic number and the same mass number but different energy states.

chemistry: each of two or more compounds with the same formula but a different arrangement of atoms in the molecule and different properties.
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2 years ago
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If A(3,4) and B(10,4) are the end points of a diameter of circle "O", what is the area of the circle O
ikadub [295]

Answer:

\large\boxed{\dfrac{49\pi}{4}}

Step-by-step explanation:

The formula of an area of a circle:

A=\pi r^2

<em>r</em> - radius

We have the endpoints of a diameter of a circle.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the given points A(3, 4) and B(10, 4):

d=\sqrt{(10-3)^2+(4-4)^2}=\sqrt{7^2+0^2}=\sqrt{7^2}=7

Therefore we have the length of the diameter: <em>d = 7</em>

We know: <em>d = 2r.</em> Therefore

r=\dfrac{7}{2}

Substitute to the formula of an area:

A=\pi\left(\dfrac{7}{2}\right)^2=\dfrac{49\pi}{4}

<em>There is no such answer in the answers to choose.</em>

<em>Apparently you have some error in the coordinates of the endpoints.</em>

8 0
3 years ago
Using the following diagram below, please answer the following:
Colt1911 [192]
The radius of the circle is 15 cm,
The diameter of the circle is 30 cm,
The circumference of the circle is 94.248 cm,
The area of the circle is 706.86 cm^2

The radius is given in the diagram as half the circle, which is 15 cm.

The diameter is double the radius because the diameter measures the circle from edge to edge, so 15•2=30 cm.

The circumference of the circle is 2•3.14•r=C,
2•3.14=6.28, 6.28•15= 94.248 cm.

The area of the circle is 3.14•r^2, so the radius squared is 225 (15•15) and 225•3.14=706.86 cm squared :)
7 0
2 years ago
ANSWER PLEASE 40 POINTS!
tangare [24]

Answer: |10 - (-8)|  

The absolute value is 18

Step-by-step explanation:

The distance between two numbers is a subtraction equation.

10 - (-8)  Subtracting a negative is like adding a positive

10 + 8 = 18

If you look at it as the first negative sign means -1 multiplied by the next negative number, "Remember that a negative times a negative is a positive!"

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3 years ago
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