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3 years ago

What is the equation of the line that passes through the point (5,6) and has a slope of 22?

Mathematics

1 answer:

stiv31 [10]3 years ago

7 0

Answer:

y-6=22(x-5) or y=22x-104

Step-by-step explanation:

Slope-point form is y-y1=m(x-x1)

x1=5

y1=6

m=22

Now plug it all in

y-6=22(x-5)

You can leave it that way or simplify it down to y=22x-104 if you'd like

Hope this helps!

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6. Two observers, 7220 feet apart, observe a balloonist flying overhead between them. Their measures of the

MaRussiya [10]

Answer:

The ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

Step-by-step explanation:

Let's call:

h the height of the ballonist above the ground,

a the distance between the two observers,

$a_1$ the horizontal distance between the first observer and the ballonist

$a_2$ the horizontal distance between the second observer and the ballonist

$\alpha _1$ and $\alpha _2$ the angles of elevation meassured by each observer

S the area of the triangle formed with the observers and the ballonist

So, the area of a triangle is the length of its base times its height.

$S=a*h$ (equation 1)

but we can divide the triangle in two right triangles using the height line. So the total area will be equal to the addition of each individual area.

$S=S_1+S_2$ (equation 2)

$S_1=a_1*h$

But we can write $S_1$ in terms of $\alpha _1$ , like this:

$\tan(\alpha _1)=\frac{h}{a_1} \\a_1=\frac{h}{\tan(\alpha _1)} \\S_1=\frac{h^{2} }{\tan(\alpha _1)}$

And for $S_2$ will be the same:

$S_2=\frac{h^{2} }{\tan(\alpha _2)}$

Replacing in the equation 2:

$S=\frac{h^{2} }{\tan(\alpha _1)}+\frac{h^{2} }{\tan(\alpha _2)}\\S=h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})$

And replacing in the equation 1:

$h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})=a*h\\h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}$

So, we can replace all the known data in the last equation:

$h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}\\h=\frac{7220 ft}{(\frac{1 }{\tan(35.6)}+\frac{1}{\tan(58.2)})}\\h=3579,91 ft$

Then, the ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

6 0

3 years ago

HELP HELP! I NEED URGENT HELP WITH THIS equashin.

Leona [35]

Answer:

V = 1071.79 yd^3

Step-by-step explanation:

The volume of a cone is

V = 1/3 pi r^2 h where r is the radius and h is the height

We are given a diameter of 16 so the radius is 1/2 of the diameter or 8

The height is 16

V = 1/3 ( 3.14) (8)^2 ( 16)

V = 1071.78666 yd^3

Rounding to the nearest hundredth

V = 1071.79 yd^3

6 0

2 years ago

Read 2 more answers

Based on the areas of the squares determine whether the triangle shown is a right triangle

Stella [2.4K]

Answer:

The answer is "triangle ABC is not a right triangle".

Step-by-step explanation:

For a right-angle triangle:

Its square upon on longest or triangular edges is equivalent to the total of the other two squares

Its parameters indicated throughout the question are;

Square of lateral length $A = 7 \ inch^2$

The square of lateral length $B = 18 \ inch^2$

The square of lateral length $C=27\ inch^2$

Thus, the longest side is C, as well as the size $inch^2$ of the squares of its two sides, is $7 + 18 = 25 \ inch^2$ , lower than square $C = 27\ inch^2$ , hence, the ABC triangle is not correct. Its longest edge is consequently C.

5 0

2 years ago

Two pumps were required to pump water out of a submerged area after a hurricane. Pump A , the larger if the two pumps, can pump

larisa86 [58]

I would say 100 hours i am not for sure cause i am a bit confused. sorry

7 0

3 years ago

Read 2 more answers

Please answerrrrrrrrrrr

saul85 [17]

Answer:

a c e

Step-by-step explanation:

7 0

3 years ago