3 years ago

Calculate the slope of the line that contains the points (3, 4) and (4, -2).

Mathematics

1 answer:

Maurinko [17]3 years ago

6 0

Answer:

-6

Step-by-step explanation:

slope=y2-y1/x2-x1

=-2-4/4-3

=-6/1

=-6

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leva [86]

$AB = \sqrt{ AD^{2} - BD^{2} } = \sqrt{243} = 9 \sqrt{3} 
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$AC = \sqrt{ AB^{2} + BC^{2} } = \sqrt{412} = 2 \sqrt{103}$

4 0

3 years ago

Assume a plane is flying directly north at 200 mph, but there is a wind blowing west at 23 mph. Part I: Express both the velocit

yuradex [85]

Define i as a unit vector in the eastern direction.
Define j as a unit vector in the northern direction.

Part I
Because the wind is blowing west, its velocity vector is
-23i mph or as (-23, 0) mph
Because the plane is traveling north, its velocity vector is
200j mph or as (0, 200) mph

Part II
The actual velocity of the plane is the vector sum of the plane and wind velocities.
That is,
200j - 23i or (-23, 200) mph

Part III
The ground speed of the plane is the magnitude of its vector.
The ground speed is
√[200² + (-23)²] = 201.32 mph

The ground speed of the plane is 201.3 mph (nearest tenth)

Not:
The direction of the plane is
tan⁻¹ 23/200 = 6.56° west of north.

7 0

3 years ago

At the same time a 50 ft cell phone tower casts a 32 ft shadow, a near by light pole casts a 20 ft shadow. How tall is the light

White raven [17]

Answer: 31.25 ft

Step-by-step explanation:

50 / 32 = x / 20

32x = 50(20)

x = 31.25 ft

7 0

2 years ago

If EM=11, AM=16, and CF=27, what are the lengths of the following sides?

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

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3 years ago

There are 527 students enrolled at school 11% are absent today how many students are absent

trapecia [35]

Answer:

About 58 students are absent today.

Step-by-step explanation:

11%=0.11

0.11*527=57.97

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3 years ago