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Gennadij [26K]
3 years ago
14

Expand and simplify the following polynomial. be sure to write it in standard form. -6y(3y^2-2y-7)

Mathematics
1 answer:
nikitadnepr [17]3 years ago
8 0

Answer:

−18y^3 + 12y^2 + 42y

Step-by-step explanation:

Hope this helps

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Solve for x. 4(2-x)+13=2x+3
gregori [183]

Answer:

x = 3

Step-by-step explanation:

4(2-x)+13=2x+3

distribute the 4.

8 - 4x + 13 = 2x + 3

combine like terms.

21 - 4x = 2x + 3

18 = 6x

divide by 6.

x = 3

check.

4(2 - 3) + 13 = 2(3) + 3

4(-1) + 13 = 6 + 3

-4 + 13 = 9

9 = 9

correct!

4 0
3 years ago
The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect
ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}

Now the points  A(−3, 4) and  B(7, 2)

AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}

AB = \sqrt{(10)^{2} +(-2)^{2}}

AB = \sqrt{100+4}

AB = \sqrt{104}

AB = 2\sqrt{26}\units

Thus

CD= 2\sqrt{26}\units

Now the points

A (−3, 4) , D (−4, −1)

AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}

AD = \sqrt{(-1)^{2} +(-5)^{2}}

AD = \sqrt{1 + 25}

AD = \sqrt{26}\units

Thus

BC = \sqrt{26}\units  

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

Length = 2\sqrt{26}\ units

Breadth = \sqrt{26}\ units  

Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})

Perimeter\ of\ rectangle = 2(3\sqrt{26})

Perimeter\ of\ rectangle = 6\sqrt{26}

\sqrt{26} = 5.1 (Approx)

Perimeter\ of\ rectangle = 6\times 5.1

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

8 0
3 years ago
A kite is 3 feet long. How many inches is that?
alexandr1967 [171]

Answer:

36 inches

Step-by-step explanation:

1 foot is equal to 12 inches so if the kite is 3 feet you would multiply 12 times 3 and get 36 hope this helps (Brainliest???)

5 0
3 years ago
Plz help. I don't understand how to do this.<br> Multiply. −4i(2−i)
Elza [17]

Answer:

-8i+4i^2

Step-by-step explanation:

You do distributive property(multiply -4i on the inside on the parantesis) and you get the answer. Eres muy bruto!!!!!!! fue un chiste:)

8 0
3 years ago
this question is pretty easy i just dont understand, so if you could answer asap that would really help :)
alexdok [17]
The second choice should be correct

6 0
3 years ago
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