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Simora [160]
2 years ago
9

Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an acute triangle.

Mathematics
1 answer:
Gnoma [55]2 years ago
7 0
For the answer to the question above, I'll explain my answer through an equation below.
<span>5+10>x,x<15
5+x>10
x>10-5
or x>5
</span>So the answer is either multiple choice letter C. 6 or multiple choice letter D. 11

I hope my answer helped you. Have a nice day!
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Find a third-degree polynomial equation with rational coefficients that has roots -4 and 6 + i.
dolphi86 [110]

Answer:

x³ - 8x² - 11x + 148

Step-by-step explanation:

Given that x = 6 + i is a root then x = 6 - i is also a root

Complex roots occur as conjugate pairs.

The factors are therefore (x - (6 + i)) and(x - (6 - i))

Given x = - 4 is a root then (x + 4) is a factor

The polynomial is the product of the factors, that is

p(x) = (x + 4)(x - (6 + i))(x - (6 - i))

      = (x + 4)(x - 6 - i)(x - 6 + i)

      = (x + 4)((x - 6)² - i²)

      = (x + 4)(x² - 12x + 36 + 1)

      = (x + 4)(x² - 12x + 37) ← distribute

      = x³ + 4x² - 12x² - 48x + 37x + 148

      = x³ - 8x² - 11x + 148

 

3 0
3 years ago
PLEASE HELP!!! POINTS!!!
Verdich [7]
Y+1=-1(x-3) is point slope formula
7 0
2 years ago
For a class trip, the teachers would like to have one adult for every ten students. There are 190 students on the trip. How many
coldgirl [10]
You can solve this problem with the following 

\frac{1}{10} =  \frac{a}{190}
10a = 190
a = 19

There should be 19 adults on the trip.

6 0
3 years ago
What is the unit rate 25 for $50.00
PolarNik [594]

Answer:

1/2

Step-by-step explanation:

For every 1 item bought, $2.00 are spent.

<em>Brainliest please!</em>

3 0
3 years ago
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What is the price of just one barrel of gas
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Answer:

Recently, that price has ranged between $50 and $70 per barrel, depending on the type of crude oil purchased. With crude oil at these prices, a standard 42 gallon barrel translates to $1.19 to $1.67 per gallon at the pump. Excise taxes add another 49 cents a gallon on average nationwide.

Step-by-step explanation:

8 0
3 years ago
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