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3 years ago

10

Can someone help with factoring the trinomial

1 answer:

larisa [96]3 years ago

3 0

X^2 - 13x + 40

as you know 40 = 5 x 8 or 40 = (-5) x (-8)
since -13x has -13 as coefficient so they should be (-5) and (-8)

x^2 - 13x + 40 = (x - 5)(x - 8)

(x - 5)(x - 8)
= x ^ 2 - 5x - 8x + 40
x ^ 2 - 13x + 40

so answer
D. (x - 5)(x - 8)

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For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at

GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

$\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}$ $\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}$

Now, let's add the components of the same direction:

$\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}$

To find the resultant bearing (theta), we can use the formula below:

$\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}$

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

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1 year ago

What is the equation of the line in slope-intercept form?

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3 years ago

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Find the distance between the points A and B given below.

GalinKa [24]

Answer:

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3 years ago

Last year, a person wrote 126 checks. Let the random variable x represent the number of checks he wrote in one day, and assume

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Answer: The mean number of checks written per day $=0.3452$

Standard deviation $=0.5875$

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Step-by-step explanation:

Given : The total number of checks wrote by person in a year = 126

Assume that the year is not a leap year.

Then 1 year = 365 days

Let the random variable x represent the number of checks he wrote in one day.

Then , the mean number of checks wrote by person each days id=s given by :-

$\lambda=\dfrac{126}{365}\approx0.3452$

Since , the distribution is Poisson distribution , then the variance must equal to the mean value i.e. $\sigma^2=\lambda=0.3452$

Standard deviation : $\sigma=\sqrt{0.3452}=0.5875372328\approx0.5875$

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3 years ago

5 and 1/7 * 8 <br><br>HELP ME PLZ

il63 [147K]

Answer:

41 1/7

Step-by-step explanation:

5 1/7 x 8

Convert 5 1/7 to improper fraction

5 1/7 = 36/7

Multiply.

36 x 8

---- --

7 x 1

288/7

Simplify.

41 1/7

---

hope it helps

8 0

3 years ago