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3 years ago

Hat value is needed to fill in the blank to make this trinomial a perfect square trinomial. 4x2 + __x + 81?

Mathematics

1 answer:

Doss [256]3 years ago

4 0

36, because the square root of 4 is 2 and the square root of 81 is 9. You multiply those and then double it to get 36.

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Please explain i will mark brainliesttt!

Sati [7]

Answer:

Answer is given below with explanations.

Step-by-step explanation:

$given \: the \: line \: n \: passes \: through \\ \: ( - 3, - 7.5) \: \: and(2, - 5) \\ the \: equation \: of \: the \: line \: is \\ \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \\ here \: x1 = - 3 \: \: \: y1 = - 7.5 \\ and \: \: x2 = 2 \: \: \: y2 = - 5 \\ \frac{y - ( - 7.5)}{ - 5 - ( - 7.5)} = \frac{x - ( - 3)}{2 - ( - 3)} \\ \frac{y + 7.5}{ - 5 + 7.5} = \frac{x + 3}{2 + 3} \\ \frac{y + 7.5}{2.5} = \frac{x + 3}{5} \\ dividing \: by \: 5 \: on \: both \: side s\\ \frac{y + 7.5}{0.5} = \frac{x + 3}{1} \\ 0.5(x + 3) = y + 7.5 \\ 0.5x + 1.5 = y + 7.5 \\ 0.5x - y - 6 = 0 \\ is \: the \: required \: equation.$

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5 0

3 years ago

Which is equivalent to Cubic root of x^10 after it has been simplified completely?

Maslowich

When we say cubic root, it means that the exponent of your divisor is three. You can solve this by counting how many three's are there in a ten. So there are three three's. the other x has an exponent one and therefore is denoted by ∛x. The answer would be x³∛x.

4 0

3 years ago

The average price of a gallon of milk is $3.31. If the price increases .88% each year , how much will a gallon of milk cost in 2

musickatia [10]

Answer:

$3.94

Step-by-step explanation:

You will need to use the compound interest formula for this.

$P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

Your equation will look like this:

$3.31(1+\frac{.0088}{1} )^{20}$ = 3.94

5 0

4 years ago

Find the perimeter and area

Paraphin [41]

Answer:

Perimeter = 19.6 cm

Area = 9.3 cm squared

Step-by-step explanation:

Perimeter: Add sides: 3.1 + 9.3 + 7.2 = 19.6

Area: 9.3 x 2 x 1/2 = 9.3

7 0

4 years ago

What is a cubic polynomial function with zeros 3,3 and -3? show your work.

Brums [2.3K]

Answer:

Cubic polynomial function with zeros 3,3 and -3 is $\mathbf{x^3-3x^2-9x+27=0}$

Step-by-step explanation:

We need to find a cubic polynomial function with zeros 3,3 and -3.

If zeros of polynomial are: 3,3,and -3

we can write:

x=3, x=3, x=-3

We can write:

x-3=0, x-3=0, x+3=0

Now, we can write them as:

(x-3)(x-3)(x+3)=0

Multiplying the terms, we can find the polynomial:

$(x-3)(x-3)(x+3)=0\\(x(x-3)-3(x-3))(x+3)=0\\(x^2-3x-3x+9)(x+3)=0\\(x^2-6x+9)(x+3)=0\\x(x^2-6x+9)+3(x^2-6x+9)=0\\x^3-6x^2+9x+3x^2-18x+27=0\\x^3-6x^2+3x^2+9x-18x+27=0\\x^3-3x^2-9x+27=0$

So, cubic polynomial function with zeros 3,3 and -3 is $\mathbf{x^3-3x^2-9x+27=0}$

4 0

3 years ago