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salantis [7]
3 years ago
8

Write an equation in point-slope form of a line with a slope of –4 that goes through the point J(–5, 6).

Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0
The equation is y = -4x + 26.
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Help me with 26 ASAP <br> Please show work<br> Random Answers will be moderated! Thanks :)
vfiekz [6]
First, convert the distance of a typical marathon to kilometers.
1 mi = 1.609 km
26.2 miles = 42.165 km

Divide this distance by Allan's average speed to get his average time.

42.165 km / 12 km/hr = 3.514 hours
4 0
3 years ago
What is the distance between Point A: (-4, -3) and Point B (1, 4) ?
Sholpan [36]

Answer:

sq rt 74 which is approx 8.6

Step-by-step explanation:

use distance formula

6 0
2 years ago
Plz help ASAP!! Explain your answer! I will mark at brainliest!!!
Vera_Pavlovna [14]

The room is not in shape of a square but a rectangle.

Question says Length is: 19 inches

Diagonal is: 20.6 inches

In a square all sides are equal

Rectangle has just two sides equal

3 0
3 years ago
108÷9⋅(−12)÷6−(100÷5)
pochemuha

Answer:

-44

Step-by-step explanation:

5 0
3 years ago
Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions.
nikitadnepr [17]

Answer:

* sin Ф = -15/17     * cos Ф = 8/17      * tan Ф = -15/8

* csc Ф = -17/15    * sec Ф = 17/8      * cot Ф = -8/15

Step-by-step explanation:

Lets revise the trigonometric function of angle Ф

- Angle θ is in standard position

- Point  (8, -15) is on the terminal ray of angle θ

- That means the terminal is the hypotenuse of a right triangle x and y

  are its legs

∵ x-coordinate is positive and y-coordinate is negative

∴ angle Ф lies in the 4th quadrant

- The opposite side of angle Ф is the y-coordinate of the point on the

  terminal ray of angle Ф and the adjacent side to angle Ф is the

  x-coordinate of that point

∵ The length of the hypotenuse (h) = √(x² + y²)

∴ h = √[(8)² + (-15)²] = √[64 + 225] = √[289] = 17

∴ The length of the hypotenuse is 17

- Lets find sin Ф

∵ sin Ф = opposite/hypotenuse

∵ The opposite is y = -15

∵ The hypotenuse = 17

∴ sin Ф = -15/17

- Lets find cos Ф

∵ cos Ф = adjacent/hypotenuse

∵ The adjacent is x = 8

∵ The hypotenuse = 17

∴ cos Ф = 8/17

- Lets find tan Ф

∵ tan Ф = opposite/adjacent

∵ The opposite is y = -15

∵ The adjacent = 8

∴ tan Ф = -15/8

- Remember csc Ф is the reciprocal of sin Ф

∵ csc Ф = 1/sin Ф

∵ sin Ф = -15/17

∴ csc Ф = -17/15

- Remember sec Ф is the reciprocal of cos Ф

∵ sec Ф = 1/ cos Ф

∵ cos Ф = 8/17

∴ sec Ф = 17/8

- Remember cot Ф is the reciprocal of tan Ф

∵ cot Ф = 1/tan Ф

∵ tan Ф = -15/8

∴ cot Ф = -8/15

5 0
3 years ago
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