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4 years ago

Find the product of (x + 1)(x – 6)

Mathematics

2 answers:

pav-90 [236]4 years ago

8 0

Answer:

x^2−7x+6

Step-by-step explanation:

(x+−1)(x+−6)

=(x)(x)+(x)(−6)+(−1)(x)+(−1)(−6)

=x^2−6x−x+6

=x^2−7x+6

azamat4 years ago

7 0

Answer:

use the app m a t h w a y

Step-by-step explanation:

no spaces

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2 years ago

Find the volume of a cone with a diameter of 12 m and a height of 6 m.

castortr0y [4]

Answer: D. 72 m

Step-by-step explanation:

The formula for the volume of a cone is Volume = pi times radius squared and then times the height, and then divided by 3.

Since the diameter is 12, the radius is 6. Applying the formula, 6 squared is 36, times pi is 36 pi. The height is 6 so 36 * 6 = 216.

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2 years ago

A rectangular garden has an area of 24 square meters. The width is 8 meters less than twice the length. Find the dimensions of t

OLEGan [10]

Answer:

Length: 6 m

Width: 4 m

Step-by-step explanation:

Area: 24 $m^{2}$

Width: 2L - 8 m

Length: ?

Formula: A = W * L

Replace the variables:

24 = (2L - 8) * L

24 = 2 $L^{2}$ - 8L

0 = 2 $L^{2}$ - 8L - 24

2 $L^{2}$ - 8L - 24 = 0

Solve; if you don't know how to solve it using this method, let me know. It's the expression $Ax^{2} +Bx+C$

1. $2 (\frac{(2L^2 - 8L - 24)}{2})$

2. $\frac{(2L)^2 - 8(2L) - 48}{2}$

3. $\frac{(2L - 12)(2L + 4)}{2}$

4. $2(\frac{(L - 6)(2L + 4)}{2})$

5. (L-6) (2L+4)

6. L-6 = 0 AND 2L+4 = 0

L - 6 =0

L = 6

---------------------------------

2L = -4

L = $\frac{-4}{2}$

L = -2

Since the length cannot be negative, the only real value is 6.

Area: 24 $m^{2}$

Width: 2L - 8 m

Length: 6 m

Calculate width:

W = 2L - 8

W = 2(6) - 8

W = 12 - 8

W = 4 m

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3 years ago