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Doss [256]
3 years ago
12

Write the equation of the line that passes through the points (-3, - 5) and (-9,3). Express your answer in

Mathematics
1 answer:
Leokris [45]3 years ago
7 0

that's the answer

Step-by-step explanation:

slope =  \frac{y2 - y1}{x2 - x1}  \\ =  \frac{3 -  - 5}{ - 9 -  - 3} =  \frac{8}{ - 6} \\  \frac{y - 3}{x -  - 9} =  \frac{8}{ - 6}  \\  - 6(y - 3) = 8(x -  - 9) \\  - 6y  + 18 = 8x + 72 \\  - 6y = 8x + 72 -18 \\  - 6y = 8x + 54 \\  \frac{ - 6y}{ - 6} =  \frac{8x}{ - 6} +  \frac{54}{ - 6} \\ y =  \frac{8x}{ - 6}  - 9

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Is the point 3/5 and 4/5 corresponds to an angle in the unit circle what is the csc
Mariulka [41]

<u>Answer:</u>

csc = 5/4

<u>Step-by-step explanation:</u>

Assuming that the two given points 3/5 and 4/5 are the two sides of a triangle and a right angle 0  with legs x and y and z as its hypotenuse.

Then using Pythagoras Theorem:

z^2=x^2+y^2

z^2=(\frac{3}{5} )^2+(\frac{4}{5} )^2

z^2 = \frac{9}{25} + \frac{16}{25}

z^2=\frac{25}{25}

z^2=1

Taking square root on both the sides:

z=1

Now, sin\alpha=\frac{4}{5}

and we know that csc = \frac{1}{sin\alpha }

Therefore, csc = 5/4.

8 0
4 years ago
What is the approximate area of the regular pentagon?
Anastasy [175]

Area of the pentagon: 342 cm2

Step-by-step explanation:

The figure of the pentagon is missing: find it in attachment.

The area of the pentagon can be seen as the area of 5 equal triangles, each of them having a base equal to the length of the side of the pentagon,

L = 14.1 cm

and the height of each triangle can be found by using Pythagorean's theorem:

h=\sqrt{12^2-(\frac{L}{2})^2}=\sqrt{12^2-(\frac{14.1}{2})^2}=9.7 cm

The area of each of the 5 triangles is

A'=\frac{1}{2}Lh

Therefore, the area of the pentagon is 5 times this area:

A=5A'=\frac{5}{2}Lh=\frac{5}{2}(14.1)(9.7)=342 cm^2

Learn more about area of regular figures:

brainly.com/question/4599754

brainly.com/question/3456442

brainly.com/question/6564657

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7 0
3 years ago
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Rewrite the fraction as a decimal 15/4
Orlov [11]

Answer:

3.75

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
BRAINLIEST
Deffense [45]

Answer:

12.56 cubic inches

Step-by-step explanation:

V= π r^2 h/3

V= 3.14(2^2)(3/3)

V=3.14(4)(1)

V= 12.56

7 0
3 years ago
Please answer i need help
tensa zangetsu [6.8K]
M = 2/5 x b = 4 because u divided both by 5
5 0
3 years ago
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