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azamat
3 years ago
12

What value of B makes the expression. x² + Bx + 81 a perfect square trinomial?

Mathematics
2 answers:
Lina20 [59]3 years ago
5 0

Answer:

<h2>B. 18</h2>

Step-by-step explanation:

\text{Use}\ (a+b)^2=a^2+2ab+b^2\\\\\text{We have}\ x^2+Bx+81.\\\\\underbrace{x^2+Bx+9^2}_{a^2+2ab+b^2}\to Bx=2(9)x\\\\Bx=18x\to B=18

Oxana [17]3 years ago
4 0

Answer:

B.) 18

Step-by-step explanation:

To find the correct b value we use this formula

b² - 4ac = 0

b = What we are solving for

a = 1

c = 81

b² - 4(1)(81) = 0

b² - 324 = 0

b² = 324

b = \sqrt{324}

b = ±18

And 18 is one of the answer choices

So B.) 18 is the correct answer.

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Step-by-step explanation:

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3 years ago
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snow_tiger [21]

Answer:

x = -8

Step-by-step explanation:

-2.5x - 2 = 18.

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3 0
3 years ago
If you invest $100 into an account that earns 9% interest each year, how many years will it take for you to have $200?
Helga [31]
It does not say simple or compound interest.
Simple interest is rarely used these days, so assume compound.
Use the standard formula:
future value = present value*(1+rate/n)^(nt)
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8 0
3 years ago
3
lara31 [8.8K]

Answer:

0

Step-by-step explanation:

Given the points J (1,-10) and K (7, 2)

From the section formula

(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:

y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

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3 years ago
What is negation of any number
mamaluj [8]

Answer:

More informally: The two's complement of an integer is exactly the same thing as its negation. ... It means "to find the negation of a number (i.e., its two's complement) you flip every bit then add 1"

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3 years ago
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