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user100 [1]
3 years ago
9

Write an equation in a point-slope form that passes through the given point with the given slope (3, 5), m = -4 and-1, 8), m = ½

Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0

Answer:

\large\boxed{y-5=-4(x-3)}\\\boxed{y-8=\dfrac{1}{2}(x+1)}

Step-by-step explanation:

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

y-y_1=m(x-x_1)

m - slope

m=-4,\ (3,\ 5)\\\\y-5=-4(x-3)

m=\dfrac{1}{2},\ (-1,\ 8)\\\\y-8=\dfrac{1}{2}(x-(-1))\\\\y-8=\dfrac{1}{2}(x+1)

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To the nearest tenth, what is the perimeter of the triangle with vertices at (−2, 3), (3, 6), and (2, −2)?
katovenus [111]

9514 1404 393

Answer:

  20.3

Step-by-step explanation:

The distance formula can be used to find the side lengths.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

For the first two points, ...

  d = √((3 -(-2))^2 +(6 -3)^2) = √(5^2 +3^2) = √34 ≈ 5.83

For the next two points, ...

  d = √((2 -3)^2 +(-2-6)^2) = √(1 +64) = √65 ≈ 8.06

For the last and first points, ...

  d = √((-2-2)^2 +(3-(-2)^2) = √(16 +25) = √41 ≈ 6.40

Then the sum of the side lengths is ...

  5.83 +8.06 +6.40 = 20.29 ≈ 20.3

The perimeter of the triangle is about 20.3 units.

7 0
3 years ago
35÷10=? in decimal form
spin [16.1K]

Answer:

3.5

Step-by-step explanation:

35 divided by 10 equals 3.5 .

4 0
3 years ago
Geometry please help!
ikadub [295]

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

The polygon here has 8 sides, that is n = 8, thus

sum = 180° × 6 = 1080°

Sum the given angles and equate to 1080, that is

14x + 133 + 167 + 138 + 18x + 115 + 151 + 120 = 1080

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32x = 256 ( divide both sides by 32 )

x = 8

Thus the 2 unknown angles are

14x = 14 × 8 = 112°

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Step-by-step explanation:

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Answer:

x>−6

Step-by-step explanation:

-6x<36

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(-6x) (-1) > 36 (-1)

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Simplify

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Hope this helped

6 0
3 years ago
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