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Andru [333]
2 years ago
11

Find the length of line segmentAB which joins the following points.A(10, 14) and B(2,6)​

Mathematics
1 answer:
Helen [10]2 years ago
5 0

Answer:

The equation of the line AB is  y - x -4 = 0

Step-by-step explanation:

The points are A (10,14) and B(2,6)

Now, slope of the line AB :  m = \frac{y_2 - y_1}{x_2 - x_1}

or, m = \frac{14 -6 }{10 - 2} = \frac{8}{8}  = 1

So, slope of the equation AB = 1

Now, by SLOPE INTERCEPT FORM:

The equation of line is given as :    y - y0 = m (x-x0)

So,the equation of line AB is  y - 6 = 1(x-2)

or, y - 6 -x + 2 = 0

or, y - x -4 = 0

Hence, the equation of the line AB is  y - x -4 = 0

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What is the difference of the two polynomials?
Ganezh [65]

Answer:

a) 7x^2 + 5x

Step-by-step explanation:

(9x^2 + 8x) – (2x^2 + 3x)

Distribute the minus sign

(9x^2 + 8x) – 2x^2 - 3x

Line them up vertically

  (9x^2 + 8x)

– 2x^2 - 3x

-------------------

7x^2     +5x

5 0
3 years ago
Read 2 more answers
The chemicals in my swimming pool use a ratio of 5 tablets of chlorine for every 14 days. Which ratio shows the number of chlori
kipiarov [429]

Answer:

42 days/14 days = 3

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5 0
3 years ago
In a rectangle, the perimeter is 102 inches. The width of the rectangle is 9 inch more than half the
Harrizon [31]

perimeter = 2width + 2 length

102 = 2(x+9) + 2x

102 = 2x + 18 +2x

102 = 4x +18

84 = 4x

21 = x

Length = x = 21 inches

Width = x + 9 = 21 + 9 = 30 inches

7 0
3 years ago
Find the perimeter of the shaded region. Round your answer to the nearest hundredth.
nataly862011 [7]

Answer:

59.16  units

Step-by-step explanation:

Given that,

The length of rectangle, L = 13

The breadth of the rectangle, B = 6

The perimeter of the shaded region = perimeter of rectangle - 2(perimeter of semicircle)

P=13\times 6-[2\times \dfrac{2\pi r}{2}]\\\\=78-2\pi r\\\\=78-2\times 3.14\times 3\\\\=59.16

So, the perimeter of the shaded region is 59.16  units.

4 0
3 years ago
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