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kondaur [170]
3 years ago
8

Find the difference (20m+3)-(7m-5)

Mathematics
2 answers:
Elanso [62]3 years ago
8 0

Answer:

(20m+3)-(7m-5).

(20m-7m)+(3+5).

13m(8). =<em>104m</em>

104m is your anwser! Hope this helps!

xz_007 [3.2K]3 years ago
4 0

Answer:

Simplifying

(20m + 3) + -1(7m + -5) = 0

Reorder the terms:

(3 + 20m) + -1(7m + -5) = 0

Remove parenthesis around (3 + 20m)

3 + 20m + -1(7m + -5) = 0

Reorder the terms:

3 + 20m + -1(-5 + 7m) = 0

3 + 20m + (-5 * -1 + 7m * -1) = 0

3 + 20m + (5 + -7m) = 0

Reorder the terms:

3 + 5 + 20m + -7m = 0

Combine like terms: 3 + 5 = 8

8 + 20m + -7m = 0

Combine like terms: 20m + -7m = 13m

8 + 13m = 0

Solving

8 + 13m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 13m = 0 + -8

Combine like terms: 8 + -8 = 0

0 + 13m = 0 + -8

13m = 0 + -8

Combine like terms: 0 + -8 = -8

13m = -8

Divide each side by '13'.

m = -0.6153846154

Simplifying

m = -0.6153846154Step-by-step explanation:

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What is the area of this parallelogram?
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3 years ago
Find the fourth point of a parallelogram given the first three (more than one correct answer is possible): (0,6), (5, -1) and (3
inysia [295]

Answer:

The fourth point of the parallelogram is one point among (-2,2), (2,10) and (8,-12).

Step-by-step explanation:

Given information: The first three vertices of parallelogram are (0,6), (5, -1) and (3,-5).

Let fourth point of the parallelogram is (a,b).

Diagonals of a parallelogram bisect each other. It means midpoint of both diagonals are same.

Midpoint formula:

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Case 1: If the point (0,6), (5, -1) and (3,-5) are consecutive, then pairs of opposite vertices are (0,6) and (3,-5), (5,-1) and (a,b).

(\frac{0+3}{2},\frac{6-5}{2})=(\frac{5+a}{2},\frac{-1+b}{2})

(\frac{3}{2},\frac{1}{2})=(\frac{5+a}{2},\frac{-1+b}{2})

On comparing both sides, we get

\frac{3}{2}=\frac{5+a}{2}

3=5+a

a=-2

\frac{1}{2}=\frac{-1+b}{2}

1=-1+b

b=2

It means the fourth point of the parallelogram is (-2,2).

Case 2: If the point (0,6), (5, -1) and (3,-5) are not consecutive, then pairs of opposite vertices are (0,6) and (5,-1), (3,-5) and (a,b).

(\frac{0+5}{2},\frac{6-1}{2})=(\frac{3+a}{2},\frac{-5+b}{2})

(\frac{5}{2},\frac{5}{2})=(\frac{3+a}{2},\frac{-5+b}{2})

On comparing both sides, we get

\frac{5}{2}=\frac{3+a}{2}

5=3+a

a=2

\frac{5}{2}=\frac{-5+b}{2}

5=-5+b

b=10

It means the fourth point of the parallelogram is (2,10).

Case 3: If the point (0,6), (5, -1) and (3,-5) are not consecutive, then pairs of opposite vertices are (5,-1) and (3,-5), (0,6) and (a,b).

(\frac{5+3}{2},\frac{-1-5}{2})=(\frac{0+a}{2},\frac{6+b}{2})

(\frac{8}{2},\frac{-6}{2})=(\frac{a}{2},\frac{6+b}{2})

On comparing both sides, we get

\frac{8}{2}=\frac{a}{2}

8=a

\frac{-6}{2}=\frac{6+b}{2}

-6=6+b

b=-12

It means the fourth point of the parallelogram is (8,-12).

5 0
4 years ago
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