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2 years ago

Select the correct slope and y-intercept for the equation: y = -5x + 6

Mathematics

1 answer:

Monica [59]2 years ago

7 0

Answer:

m= -5

Step-by-step explanation:

This is very simple.

Basically, the formula for a slope intersect form is this:

y= mx+b

Where y is the y value, x is the x value, b is the y intercept, and m is the slope.

Because m is -5 in this equation, that means the slope is -5.

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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.

8 0

1 year ago

Using the graph provided, find f(x)=2

natali 33 [55]

Answer:

so x=3

Step-by-step explanation:

f(x) = 2

We want to find the x value when y =2

Going across where y = 2

Then go down to find the x value x=3 when y = 2

f(3) =2

so x=3

6 0

2 years ago

Amanda made $276 for 12 hours of work, At the same rate, how many hours would she have to work to make $115

Anit [1.1K]

Answer:

5 hours

Step-by-step explanation:

276/12= 23

115/23= 5

5 0

2 years ago

Read 2 more answers

Round to the nearest hundredth.<br> 29.995

Nastasia [14]

Answer:

30.00

Step-by-step explanation:

Hope this helps!

5 0

2 years ago

Read 2 more answers

Which are correct representations of the inequality –3(2x-5) < 5(2 - x)? Select two options.

Igoryamba

Answer: All the ways I solved this the answer is the same,

x>5 or (5,∞) That being the Interval Notation {The second one}

Step-by-step explanation:

3 0

2 years ago