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densk [106]
2 years ago
6

10

Mathematics
1 answer:
Natasha2012 [34]2 years ago
6 0

Answer:

x= -2

Step-by-step explanation:

Rational Function can be expressed as:

\displaystyle \large{y =  \frac{a}{p(x - b)}  + q}

Where b is our horizontal shift and q is our vertical shift.

For asymptotes, there are two types which are vertical and horizontal.

Vertical Asymtote is the value of -b itself or x = -b.

Therefore, from the functio:

\displaystyle   \large{y =  \frac{10}{x + 2} }

Our vertical asymtote is x = -2

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The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. t
Zolol [24]
Side 1 = short side = 2x-3
side 2 = longer side = (short side) + 6 = (2x-3)+6 = 2x+3
side 3 = side 2 = 2x+3

Side 2 and side 3 are the longer two congruent sides

Add up the three sides and set them equal to the given perimeter of 33. Solve for x

(side1)+(side2)+(side3) = perimeter
(2x-3)+(2x+3)+(2x+3) = 33
(2x+2x+2x) + (-3+3+3) = 33
6x+3 = 33
6x+3-3 = 33-3
6x = 30
6x/6 = 30/6
x = 5

If x = 5, then the longer sides are 2*x+3 = 2*5+3 = 10+3 = 13 inches each
(note: the short side is 2*x-3=2*5-3=10-3 = 7 inches)

Answer: 13 inches
8 0
3 years ago
If one of the zeros of the cubic polynomial x3 + ax2 + bx + c is -1, then what will be the product of the other two zeros?
zhenek [66]

Answer:

The product of the other two zeros is c

Step-by-step explanation:

Let α, β and γ be the zeros of the polynomial x³ + ax² + bx + c. Since one of the zeros is -1, therefore let γ = -1. Hence:

sum of the roots = α + β + γ = -a

-1 + β + γ = -a

β + γ = -a + 1

αβ + αγ + βγ = b

-1(β) + (-1)γ + βγ = b

-β -γ + βγ = b

Also, the product of the zeros is equal to -c, hence:

αβγ = -c

-1(βγ) = -c

βγ = c

Hence the product of the other two zeros is c

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ehidna [41]
60 is the correct answer
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2 years ago
Square root of 90 to the nearest integer
sergiy2304 [10]

Answer:

9

Step-by-step explanation:

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Read 2 more answers
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