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3 years ago

Which of the following expressions is a fifth-degree binomial?

Mathematics

2 answers:

Maurinko [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Degree of a polynomial is the highest power contained by variable or two variable being multiplied so

The degrees of polynomial in the above options are

A) 9(5+4=9)

B)7(1+6)

C)5

D)2

Juli2301 [7.4K]3 years ago

6 0

It’s definitely the letter d

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Solve the equation: k^2+5k+13=0

mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\$

From the question

a = 1 , b = 5 , c = 13

So we have

$k = \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)} \\ = \frac{ - 5 \pm \sqrt{25 - 52} }{2} \\ = \frac{ - 5 \pm \sqrt{ - 27} }{2} \: \: \: \: \: \: \\ = \frac{ - 5 \pm3 \sqrt{3} \: i}{2} \: \: \: \: \: \:$

<u>Separate the solutions</u>

$k_1 = \frac{ - 5 + 3 \sqrt{3} \: i }{2} \: \: \: \: or \\ k_2 = \frac{ - 5 - 3 \sqrt{3} \: i}{2}$

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

$k_1 = - \frac{5}{2} + \frac{3 \sqrt{3} }{2} \: i \: \: \: \: or \\ k_2 = - \frac{5}{2} - \frac{3 \sqrt{3} }{2} \: i$

Hope this helps you

8 0

3 years ago

F(x)=7x^1/2, find f(x)

FrozenT [24]

Answer:

x=2y/7

Step-by-step explanation:

y=7x^1/2

7/2x=y

7/2x/7/2=y/7/2

4 0

3 years ago

Elizabeth lives in San Francisco and works in Mountain View. In the morning, she has 3 transportation options (take a bus, a cab

Lesechka [4]

Answer:

4/9

Step-by-step explanation:

The possibilities of transportation: (The first will be for morning, second will be for afternoon)

B, B

B, C

B, T

C, B

C, C

C, T

T, B

T, C

T, T

It is clearly seen that there are 9 transportation options.

(Using cab 1 time we have BC, CB, CT, TC. So four of the transportation methods use cab one time.)

Therefore, the probability that she will use a cab only once is 4/9.

6 0

3 years ago

The perimeter of a triangle is 199 inches. If one side of the triangle is six more than the shorter side, and the longer side is

Keith_Richards [23]

Shortest side (a) = 58
middle side (b) = 64
longest side (c) = 77

the 3 sides a + b + c = 199
b = a + 6
c = a + 19

substitute your new values for b & c into your original formula, so:
a + (a+6) + (a+19) = 199
3a + 25 = 199
3a = 174
a = 58

then substitute 58 into your b & c formulas to figure out the rest
b = a + 6 = 58 + 6 = 64
c = a + 19 = 58 + 19 = 77

3 0

3 years ago

A square prism measuring 4 ft along each edge of the base and 6ft tall

ki77a [65]

4ft * 4ft * 6ft = 96ft squared

6 0

2 years ago