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romanna [79]
3 years ago
6

Աuestion 4

Mathematics
1 answer:
anastassius [24]3 years ago
4 0

Answer:

The answer is: The y intercept form is: y = -2x - 7. The point slope form is:

y + 7 = -2(x - 0)

Step-by-step explanation:

The equation to find the slope is:

m = (y - y1) / (x - x1)

Substitute in the given points (-5, 3) and (0, -7)

m = (3 - (-7)) / (-5 - 0)

m = (3 + 7) / -5

m = 10/-5 = -2

Now use the slope to form the intercept form of the equation, from the point-slope form:

y - (-7) = -2(x - 0)

y + 7 = -2x

y = -2x - 7

Proof:

Use (-5, 3) substitute -5 for x and verify that the answer is 3:

f(-5) = -2(-5) - 7 = 10 - 7 = 3

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Sina×tga=1/2, cosa=?​
ArbitrLikvidat [17]

Answer:

<em>cos a = -1.28 and 0.78</em>

Step-by-step explanation:

The question is not properly written. This is the correct question:

If sina×tan(a) = 1/2, find cosa

According to trigonometry identity;

tan a = sina/cosa

sina×tan(a) = sin a * sina/cosa

sin²a/cos a = 1/2

(1-cos²a)/cosa = 1/2

Cross multiply

2(1-cos²a) = cos a

2 - 2 cos²a = cos a

2cos²a + cos a - 2 = 0

Let P = cos a

2P² + P -2 = 0

P = -1 ±√1-4(2(2)/2(2)

P =  -1 ±√1+16/4

P = -1 ±√17/4

P = -1±4.12/4

P = -1-4.12/4 and -1+4.12/4

P = -5.12/4 and 3.12/4

P = -1.28 and 0.78

Since P = cos a

<em>Hence cos a = -1.28 and 0.78</em>

7 0
3 years ago
It says to calculate the area of the sector and t round to the nearest hundredth and to use 3.14 for Pi
fenix001 [56]

Answer:

Step-by-step explanation:

The formula for the area of a sector is

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A=\frac{90}{360}*(3.14)(20)^2 which simplifies down a bit to

A=\frac{1256}{4} so

A = 314 m squared

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4 years ago
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Answer:

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Step-by-step explanation:

Find the slope first

-1-1/4+3

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4 0
3 years ago
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Genrish500 [490]
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natta225 [31]

Answer:

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Step-by-step explanation:

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