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Degger [83]
3 years ago
7

The perimeter of the triangular park shown on the right is 15x+2 . What is the missing​ length? The other two lengths are 5x-1 a

nd 4x+4
Mathematics
1 answer:
Gwar [14]3 years ago
3 0

Answer:

6x - 1

Step-by-step explanation:

Side 1: 5x - 1

Side 2: 4x + 4

Side 3: Unknown, y

Perimeter: 15x + 2

Perimeter = Side 1 + Side 2 + Side 3

15x + 2 = 5x - 1 + 4x + 4 + y

15x + 2 = 9x + 3 + y

6x - 1 = y

y = 6x - 1

Side 3 = 6x - 1

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What are all of the real roots of the following polynomial? f(x) = x4 - 13x2 + 36
GREYUIT [131]
ANSWER

A. -3, -2, 2, and 3

EXPLANATION

The given polynomial function is,

f(x) = {x}^{4} - 13 {x}^{2} + 36

To find the real roots, we equate the function to zero to obtain;

{x}^{4} - 13 {x}^{2} + 36 = 0

We can solve this equation as a quadratic equation in
{x}^{2}.

Thus we rewrite the equation as,

({x}^{2})^{2} - 13 {x}^{2} + 36 = 0

We split the middle term to get,

({x}^{2})^{2} - 9 {x}^{2} - 4 {x}^{2} + 36 = 0.

We factor to get,

{x}^{2} ( {x}^{2} - 9) - 4( {x}^{2} - 9) = 0

We factor to get,

( {x}^{2} - 9)( {x}^{2} - 4) = 0

Either

{x}^{2} - 9 = 0
or

{x}^{2} - 4 = 0

x = \pm \sqrt{9} \: or \: x = \pm \sqrt{4}
x = \pm3 \: or \: x = \pm2

x=-3,-2,2,3

The correct answer is A
5 0
4 years ago
Read 2 more answers
Determine whether the random variable is discrete or continuous. a. The distance a baseball travels in the air after being hit.
vodomira [7]

Answer and explanation:

Discrete random variables can be counted as integers and you can't divide them. Continuous random variables are counted as real numbers and are magnitudes that can´t be counted as an exact number (there will always be an uncertainty in the measurement).

a. The random variable is continuous. Distance is a measurement.

b. The random variable is discrete. You can count how many people are sitting at a computer.

c. The random variable is continuous. Weight is a measurement.

d. The random variable is discrete. You can count how many fishes were caught.

e. The random variable is discrete. You can count how many hints a web site had.

7 0
3 years ago
Helppppp !!!!!! <br><br>8^6 ÷ 8^7<br><br>A. 8^0<br>B. 8^1 <br>C. 8^5<br>D. 8^-1<br>E. 8^10​
MArishka [77]

8^6 ÷ 8^7 = 8^{6-7} = 8^{-1}

<h3>CMIIW</h3>
3 0
3 years ago
Read 2 more answers
Find three consecutive odd integers such that the sum of the 1st and 2nd number is 344
olga2289 [7]

Answer:

three consecutive odd integers are.

171, 173, 175

Step-by-step explanation:

Let x be the first term of odd integer,

Therefore, the second consecutive odd integers = x+2

Similarly, the third consecutive odd integers = x+4

Given:

The sum of the first term and second term is 344.

first term + second term = 344

Here first term is x and second term is x+2.

x+(x+2)=344

2x+2=344

2x=344-2

x=\frac{342}{2}

x=171

Therefore, the first odd integers is 171.

And the second consecutive odd integers = x+2=171+2=173

Similarly, the third consecutive odd integers = x+4=171+4=175

8 0
4 years ago
Re-write the quadratic function below in Standard Form<br> y = -9(x - 1)(x + 2)
Rzqust [24]

Answer:xryuvb

Step-by-step explanation:

3 0
4 years ago
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