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Tpy6a [65]
2 years ago
5

Factorize: x3–23x2+ 142 x -120

Mathematics
1 answer:
ivanzaharov [21]2 years ago
6 0

Step-by-step explanation:

x³ - 23x² + 142x - 120

x³ - x² - 22x² + 22x + 120x - 120

x²(x - 1) - 22x(x - 1) + 120(x - 1)

(x - 1)(x² - 22x + 120)

(x - 1)(x² - 10x - 12x + 120)

(x - 1)[x(x - 10) - 12(x - 10)]

(x - 1) (x - 10) (x - 12)

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Find the geometric mean between 18 and 7. Write your answer in radical form.
solmaris [256]

Answer: Choice A

Work Shown:

m = \text{geometric mean of x and y}\\\\m = \sqrt{x*y}\\\\m = \sqrt{18*7}\\\\m = \sqrt{9*2*7}\\\\m = \sqrt{9}*\sqrt{2*7}\\\\m = 3\sqrt{14}\\\\

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Please help im so confused​
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Answer:

\text{1. }50^{\circ}\\\text{2. }80^{\circ}

Step-by-step explanation:

1. The measure of an inscribed angle is always half the measure of the arc it forms. Since angle ACB forms arc AB with a measure of 100 degrees, the measure of angle ACB will be equal to \frac{100}{2}=\boxed{50^{\circ}}.

2. Relating to problem 1, both inscribed angles marked in the figure form the same arc. All inscribed angles forming the same arc will have the same measure. Therefore, the measure of angle GEF is equal to \boxed{80^{\circ}}.

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A gardener is planting two types of trees:
ICE Princess25 [194]

Answer:

After 1 year, both the tress will be of the same height.

Step-by-step explanation:

Let us assume in x years, both trees  have same height.

Type A  is 7 feet tall and grows at a rate of 8 inches per year.

⇒The growth of tree A in x years = x times  ( Height growth each year)

                                                        = 8 (x)  = 8 x

⇒Actual height of tree A in x years  = Initial Height + Growth in x years

                                                             = 7 + 8 x

or, the height of tree A after  x years  = 7 + 8x

Type B is 9 feet tall and grows at a rate of 6 inches per year.

⇒The growth of tree B in x years = x times  ( Height growth each year)

                                                        = 6 (x)  = 6 x

⇒Actual height of tree B in x years  = Initial Height + Growth in x years

                                                             = 9 + 6 x

or, the height of tree B after  x years  = 9 + 6x

According to the question:

After x years, Height of tree A  =Height of tree B

⇒7 + 8x   = 9 + 6x

or, 8x - 6x = 9 - 7

or, 2 x  = 2

or, x  =  2/2  = 1    ⇒ x  = 1

Hence, after 1 year, both the tress will be of the same height.

5 0
2 years ago
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