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Mice21 [21]
2 years ago
5

Write an equation for each line.

Mathematics
1 answer:
Tems11 [23]2 years ago
5 0

Answer:

Step-by-step explanation:

Equation of blue line:

blue line is parallel to y-axis

⇒ x = 5

Equation of green line:

Green line is parallel to x-axis.

y = 2

Equation of red line:

At y-intercept x = 0. Point on red line is (0,5)

So, y-intercept = 5

y = mx + b Here,  m is slope any b is y-intercept.

y = mx + 5

Now, choose any other point in red line. ((1,7)

Substitute this value in the above equation and we can find m

7 = m*1 + 5

7 - 5 = m

m = 2

y = 2x + 5

Equation of black line:

Black line and red line are parallel and so, they have same slope.

y = 2x + b

y-intercept (0,-6) ; b = -6

y = 2x - 6

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3 0
3 years ago
I need help with this problem
Arada [10]

Answer:

65.56°

Step-by-step explanation:

We know that if we take dot product of two vectors then it is equal to the product of magnitudes of the vectors and cosine of the angle between them

That is let p and q be any two vectors and A be the angle between them

So, p·q=|p|*|q|*cosA

⇒cosA=\frac{u.v}{|u||v|}

Given u=-8i-3j and v=-8i+8j

|u|=\sqrt{(-8)^{2}+ (-3)^{2}} =8.544

|v|=\sqrt{(-8)^{2}+ (8)^{2}} =11.3137

let A be angle before u and v

therefore, cosA=\frac{u.v}{|u||v|}=\frac{(-8)*(-8)+(-3)*(8)}{8.544*11.3137} =\frac{40}{96.664}

⇒A=arccos(\frac{40}{96.664} )=arccos(0.4138 )=65.56

Therefore angle between u and v is 65.56°

5 0
2 years ago
The yearbook team is designing the pages for school clubs so
yarga [219]

Answer:

creo que sería 54 por actitud de :72-1 1?? por eso sería esta cosa esxtactamente espero que te allá ayudado

6 0
3 years ago
From the height of 30 meters above sea level of a cliff, a ship is sighted due west. The angle of depression is 20How far from t
Igoryamba

Answer:

9470m above the sea level.

Step-by-step explanation:

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2 years ago
After 4 new students joined a class, the class had 32 students.
AleksandrR [38]

Answer:

32-4=n or 4+n=32

5 0
3 years ago
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