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nataly862011 [7]
3 years ago
13

Write the point-slope equation of the line that passes through (3, -1) and a slope of 2.

Mathematics
2 answers:
fredd [130]3 years ago
5 0

Answer:

\large\boxed{y+1=2(x-3)}

Step-by-step explanation:

The point-slope form of the equation of a line:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point

We have the slope m = 2 and the point (3, -1). Substitute:

y-(-1)=2(x-3)\\\\y+1=2(x-3)

goblinko [34]3 years ago
4 0

Answer:

y=2x+(-7)

Step-by-step explanation:

y=2x+c

solve for c

-1=2(3)+c

-1=6+c

-6-1=c

c=-7

<u>y=2x+(-7)</u>

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Could you please answer Number 2? This is for geometry
katrin [286]
Answer: 108 degrees

============================================================

Explanation:

Angle ABC is given to be 90 degrees. By the converse of Thales Theorem, we know that AC is a diameter of the circle. 
If we draw a line from A to C, it will pass through the center of the circle.

Therefore, arc AC is 180 degrees as this is half the distance around the circle.

minor arc AD = 72
minor arc CD = x
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7 0
3 years ago
If sin θ = 1/2 , then find the value of (sin 3 θ)/(1+ cos 2 θ)<br>​
Ipatiy [6.2K]

<u>EXPLANATION</u><u>:</u>

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

<u>Answer</u> : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> If sin Θ = 2/3 and tan Θ < 0, what is the value of cos Θ?

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if cos θ -sin θ =1, find θ cos θ +sin θ?

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7 0
2 years ago
Which of these is not a characteristic of a perpendicular bisector?
Arte-miy333 [17]

Answer:

The perpendicular bisector meets any line at an angle which is not 90°

Step-by-step explanation:

.

7 0
3 years ago
Read 2 more answers
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