This question is not that hard but I’m getting rushed

Which of the following is equivalent to the polynomial given below?

Marizza181 [45]

Answer:

$(x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))$

Step-by-step explanation:

The first step to this problem is to look at the key features of the initial expression given to us. Namely, the middle term.

Notice that it is just $+6x$ . This indicates that the square root terms cancel out, meaning that their signs need to be opposite, but the threes need to have the same, positive sign. This indicates that our answer is option C, but you should always double check by multiplying the expression out to confirm. Here are the steps:

$(x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))$

$x^{2} +(3+\sqrt{11}i)x+(3-\sqrt{11}i)x+(3+\sqrt{11}i)(3-\sqrt{11}i)$ $x^{2}+3x+\sqrt{11}ix+3x-\sqrt{11}ix+9+3\sqrt{11}i-3\sqrt{11}i-(\sqrt{11})^{2}(i^{2})$ $x^{2}+6x+9-(11)(-1)$

$x^{2}+6x+9+11$

$x^{2}+6x+20$

Therefore as we suspected, the answer is C.

3 0

3 years ago

In order to burn calories and lose weight, Vera is trying to incorporate more exercise into her busy schedule. She has several s

mel-nik [20]

Answer:each session of body sculpting workouts burns 51 calories.

Each session of Yoga workouts burns 83 calories.

Step-by-step explanation:

Let x represent the number of calories that she burnt doing one body sculpting workout session.

Let x represent the number of calories that she burnt doing one Yoga session.

Last week, she burned a total of 517 calories by doing 2 body sculpting workouts and 5 yoga sessions. This means that

2x + 5y = 517 - - - - - - - - - -1

This week, she has completed 2 body sculpting workouts and 1 yoga session and burned a total of 185 calories. This means that

2x + y = 185 - - - - - - - - - - - - 2

Subtracting equation 2 from equation 1, it becomes

4y = 332

y = 332/4 = 83 calories

Substituting y = 83 into equation 2, it becomes

2x + 83 = 185

2x = 185 - 83 = 102

x = 102/2 = 51 calories

8 0

4 years ago

15 POINTS!<br> What is the correct answer for Dean's problem? Explain where he went wrong.

prohojiy [21]

Answer:

The slope is 5/-2.

Step-by-step explanation:

Slope is y1-y2 over m1-m2 (rise over run). The first ordered pair is -2 (m1) and 11 (y1). We then subtract the second ordered pair (4 (m2) and -4 (y2)) from the first.

11 - (-4) = 11 + 4 = 15

-2 - 4 = -6

Remember, slope is rise over run (y over x), so the slope is 15/-6. Now, we must simplify. 15/-6 = 5/-2

Dean went wrong because he thought that slope was run over rise (x over y). If he had switched the two numbers, his answer would have been correct.

8 0

4 years ago

Write the number in standard form: 9.82 × 10 ³

inessss [21]

Answer: 9820

Step-by-step explanation:

4 0

3 years ago