Solve for equation for x: 5x^2 – 10x – 6 = 0

Answer:

Oook, quick setup: pick a cartesian plane, be [tex](0;y(t))[/tex]the position of the helicopter as time passes, and [tex](x(t);0)[/tex] your position as you start running. In my horrible sketch, the green line is the distance when you start running, the red line is the distance you need,  in general what you want is to move one end of the segment up, the other right, and stretch it.

That distance is easily found with the formula for the distance between two points in the plane, or [tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}= \sqrt{x^2(t)+y^2(t)}[/tex] (playing a bit with the squares). At this point we need to write down expressions for both [tex]x(t), y(t)[/tex] and find at what value of t we need to evaluate our distance.

For the sake of semplicity, let's start measuring times the moment you start running. Since speed is constant, both expressions will be of the form [tex]s=vt+s_0[/tex]

The equation for the runner becomes simply [tex]x(t)=10t[/tex], since you haven't moved until the heli is high enough.

The equation of the helicopter is [tex]y=25t+30[/tex] since the heli is 30ft above ground when you start running.

Finally, we need to know how many seconds have passed when the heli is at 60 ft above ground. that happens when [tex]60=25t+30 \rightarrow t=\frac{30}{25} = 1.20s[/tex]. in this time, you are at  [tex]x(1.2)=10(1.2)=12ft[/tex] from the origin.

Plugging it in the distance formula you get: [tex]\sqrt{12^2+60^2}= \sqrt{144+3600}=4\sqrt {234}\approx 61.2ft[/tex]

\[tex]\angle B +\angle C + x = 180^{\circ}\\\\\implies x = 180^{\circ} -\angle B -\angle C\\\\\implies x = 180^{\circ} - 75^{\circ} - 50^{\circ}\\\\\implies x = 55^{\circ}[/tex]

Answer:

The solution is x = 3, y = 2.

Step-by-step explanation:

4x + 6y = 24

15x – 6y = 33    Add these 2 equations:

19x = 57

x = 57/19

x = 3.          Now Substitute for x in the original equation:

2(3) + 3y = 12

3y = 12 - 6

2y = 6

y = 2.

56 + 8x

Area of Rectangle = Length x Width

Area of Rectangle = 8(7 + x)

Answer:

b =146

Step-by-step explanation:

34 and b form a straight line so they add to 180

b+34 = 180

b = 180-34

b =146

Answer:

[tex]{ \rm{V = \frac{lwh}{3} }} \\ \\ { \rm{3V = lwh}} \\ \\ { \boxed{ \rm{ \: w = \frac{3V}{lh } \: }}}[/tex]

Answer:

The slope is positive 7

Step-by-step explanation:

The y-intercept is -5, and the next point going upwards is positive 2. (Sorry I'm bad at explaining)

Answer:

The slope is 7

Step-by-step explanation:

(1,2)(0,-5)

[tex]m=\frac{-5-2}{0-1} ==\frac{-7}{-1} =7[/tex]

Hope this helps

Answer:

The exterior and interior angles must add up to 180 degrees. Thus, 180 divided by five gives the exterior angle as 36 degrees (and hence the interior angles as 144 degrees).

Answer:

10 Sides

Step-by-step explanation:

Int Angle + Ext Angle = 180

4Ext + Ext = 180

Ext = 36 degrees

-----

360/36 = 10 sides

Answer:

-8(10x-3) = -80x+24 = A

Step-by-step explanation:

yr welcome

Answer:

three hours every 1 book

Step-by-step explanation:

36-12

6-2

3-1

Answer:

35 remainder 1

Step-by-step explanation:

71 ÷ 2 = 35.5

The 35 is the whole number part of your answer. The .5 part of the answer is .5 of 2, which is 1

OR you can think that

35 × 2 =70. The 1 is the remaining part from 71.

Explanation:

Divide the side length for B over the corresponding side length for A.

scale factor = B/A = 7/(2.5) = 2.8

Let's now convert this to a fraction

2.8 = 2 + 0.8 = 2 + 8/10 = 20/10 + 8/10 = (20+8)/10 = 28/10

Then reduce that fraction

28/10 = (14*2)/(5*2) = 14/5

Note that 14/5 = 2.8

A scale of 1:5 indicates that real measurement of the machine is five times one unit in the drawing.

The title block on a working drawing shows some important details that may be relevant in reading the drawing. One of such important details is the scale of the drawing.

The scale tells us how the size of the drawing relates to the actual size in the real world. Hence, a scale of 1:5 indicates that real measurement of the machine is five times one unit in the drawing.

Learn more about scale drawing: https://brainly.com/question/147532

Answer:

.....,....................

Answer:

946 square Inches

Step-by-step explanation:

First, you should split up the shape into parts.

1st part 28x7

2nd part 30x25

We are multplying simply because

Area = Length x Width

Now that we have split up the parts lets multply them and add them togeher.

28 x 7 =  196

30 x 25 = 750

196 +750 = 946

So the area of this figure is 946 square inches.

Answer:

  3.9

Step-by-step explanation:

Your calculator will tell you ...

  (2.28×10^8)/(5.79×10^7) ≈ 3.9

Mars is about 3.9 times as far from the sun as Mercury.

Answer:

[tex]horizontal : 76 \\ \\ \\ vertical : 33 \\ \\ pls \: check \: this \: answer \\[/tex]

Answer:it's a for sure I think

Answer:

6 (20 + c) > 16

Step-by-step explanation:

the sum of the number and 20 is 20 + c. so you multiply that equation by 6 giving you 6 (20 + c)

Answer:

Step-by-step explanation:

523,010.0

Answer:

two negitives equals a positive so C none of the above

Hope This Helps!!!

Answer:

A and B

Step-by-step explanation:

Answer: x= [tex]-\frac {109}{15}[/tex]

Answer:

y=2x-1

Step-by-step explanation:

Because this equation is in point-slope form and we need it in slope-intercept form, all we need to do is simplify y-5=2(x-3).

y-5=2x-6     Distribute.

 +5     +5     Add 5 to both sides of the equation.

y=2x-1

Hope this helped! Have a great day ♥

Answer:

A) a0 + a1 + a2 + a3 + a4 + a5

Step-by-step explanation:

Answer:

A) a0 + a1 + a2 + a3 + a4 + a5

Step-by-step explanation:

Answer:

2x2+5x−3

Step-by-step explanation:

Expand the polynomial using the FOIL method.

Answer: [tex]x^2+7.0x-5.0x[/tex]

Step-by-step explanation: