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maxonik [38]
2 years ago
11

Solve each of the following system of equations by substitution!!! x-5y=-49 y=-2x+1

Mathematics
1 answer:
miss Akunina [59]2 years ago
4 0

Answer:

x = -4, y = 9

or

(-4, 9)

Step-by-step explanation:

x - 5y = -49

y = -2x + 1

substitute y for -2x + 1

x - 5(-2x + 1) = -49

x + 10x - 5 = - 49

add 5 to both sides

x + 10x - 5 + 5 = - 49 + 5

x + 10x = -44

11x = -44

divide both sides by 11

11x/11 = -44/11

x = -4

substitute x for -4 in any of the original equations

y = -2x + 1

y = -2 * -4 + 1

y = 8 + 1

y = 9

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2 years ago
The perimeter of a triangle is not greater than 12 and the lengths of sides are natural numbers.
weqwewe [10]

Answer:

3 triangles

Step-by-step explanation:

Perimeter of triangle = a + b + c

Given that :

P = 12

and a, b, c are natural numbers

Let :

Side A = a

Side B = b

Side C = 12 - (a + b)

Side A + side B > side C - - - (condition 1)

a + b > 12 - (a + b)

a + b > 12 - a - b

a + a + b + b > 12

2a + 2b > 12

2(a + b) > 12

a + b > 6

Side A - side B < side C

a - b < 12 - (a + b)

a - b + a + b < 12

2a < 12

a < 6

b < 6 (arbitrary point)

Going by the Constraint above :

The only three possibilities are :

(2, 5, 5)

(3, 4, 5)

(4, 4, 4)

Total number of triangle = 3

Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1

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3 0
2 years ago
Angle A = 7x + 40 degrees
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3 years ago
What is the end point and mid point
son4ous [18]
The endpoints are the points which represent or marks the end of a line segment or an interval. So, the endpoints would be the same points given which are ( 5/3, 1 ) and ( 0, 2). The midpoint, on the other hand, is the point that is located halfway through the line segment or the interval. It divides the segment into two parts with equal lengths. We calculate it by the formula,
midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

We substitute the points given above to the formula as follows:


midpoint = ((5/3 + 0) / 2, (1 + 2) / 2)
midpoint = 5/6 , 3/2

So, the midpoint is located at point 5/6, 3/2.
5 0
3 years ago
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