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Kamila [148]
3 years ago
7

Write an equation in standard form with zeros 2 and -8

Mathematics
1 answer:
Komok [63]3 years ago
8 0

Answer:

Standard form  of polynomial with zeros 2 and -8 isP(x) = x^2 + 6x - 16

Step-by-step explanation:

Here, the zeroes of the polynomial P(x) is given as  x = 2 and x  = -3

If x  = a is a zero pf the polynomial p(x) , then (x-a) is the root of the given polynomial.

⇒ (x- 2)  and (x -(-8)) are the two roots of the polynomial P(x).

Now, Polynomial P(x) = Product of all its Roots

⇒P(x)  =  (x- 2) (x +8 )\\= x(x+8) -2(x+8)  = x^2 + 8x - 2x- 16\\= x^2 + 6x - 16 \\\implies P(x) = x^2 + 6x - 16

Hence the standard form  of polynomial with zeros 2 and -8 isP(x) = x^2 + 6x - 16

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Which expressions correctly represent the area of the triangle XYZ?
Evgen [1.6K]

Answer:

Options (2) and Option (1)

Step-by-step explanation:

Area of the ΔXYZ = \frac{1}{2}(\text{Base})(\text{Height})

                              = \frac{1}{2}(XZ)h

                              = \frac{1}{2}(18)h

By applying sine rule in the ΔYPZ,

sin(38°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

sin(38°) = \frac{h}{14}

h = 14[sin(38°)]

Therefore, area of the given triangle = \frac{1}{2}(18)(14)sin(38)

By applying sine rule in ΔYPZ,

sin(58°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

sin(58°) = \frac{h}{10}

h = 10sin(58°)

Area of ΔXYZ = \frac{1}{2}(18)(10)sin(58)

Therefore, Options (2) and Option (1) are the correct options.

6 0
3 years ago
Five numbers have a range of 14. Four of the numbers are 20, 22, 31 and 25. Work out the two different possible values for the f
Pepsi [2]

Answer:

17

34

Step-by-step explanation:

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

the missing number can either by the highest value or the lowest value. this is because none of the numbers given when subtracted from each other would give a value of 14

let x = missing number

14 = x - 20

x = 20 + 14 = 34

or

14 = 31 - x

x = 31 - 14

x = 17

6 0
3 years ago
Kathy buys a bicycle after a 30% markdown. The original price was $490.00. What did<br> she pay?
Umnica [9.8K]

Answer:

$343

Step-by-step explanation:

To get 30% of 490 we divide 30% by 1

30% ÷ 1 = 147

Now, we subtract 490 by 147

490 - 147 = 343

4 0
3 years ago
I need help with this please
djyliett [7]

Answer:

Step-by-step explanation:

The last three are irrational but I'm not sure about the first four.

3 0
3 years ago
Find the product of 2x^(2x2 + 3x + 4)
madam [21]
Answer- 4x⁶ + 6x⁵ + 8x⁴
7 0
3 years ago
Read 2 more answers
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