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3 years ago

2/5m - 4 + = 16 + is what?

Mathematics

1 answer:

asambeis [7]3 years ago

8 0

Answer:

2/5m-4=16

We move all terms to the left:

2/5m-4-(16)=0

Domain of the equation: 5m!=0

m!=0/5

m!=0

m∈R

We add all the numbers together, and all the variables

2/5m-20=0

We multiply all the terms by the denominator

-20*5m+2=0

Wy multiply elements

-100m+2=0

We move all terms containing m to the left, all other terms to the right

-100m=-2

m=-2/-100

m=1/50

Step-by-step explanation:

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Answer:

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3 years ago

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3 years ago

Micheal took his brother to the movies. Micheal paid regular price, but it cost $2 less for his brother at the child price. It c

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It cost $5 for his brother's ticket.

Step-by-step explanation:

Let,

Micheal's ticket price= x

His brother ticket price = y

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Putting value of y from Eqn 2 in Eqn 1

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Keywords: linear equation, substitution method

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4 years ago

Please help The dilation DO,2.5 is applied to triangle ABC below. Use the dilation of triangle ABC and its image to prove that t

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A dilation $D_{O,\,k}$ is a dilation with a scale factor, k centered at the origin.

A scale factor, k means that the distance of the image from the the center of dilation is k times the distance of the pre-image from the center of dilation and the size of the image is k times the size of the pre-image.

Given triangle ABC with vertices A(-2, 2), B(1, 2) and C(1, -1), a dilation $D_{O,\,k}$ will result in the image with vertices A'2.5(-2, 2) = A'(-5, 5), B'2.5(1, 2) = B'(2.5, 5) and C'2.5(1, -1) = C'(2.5, -2.5)

Now, consider line AC, the equation of the line is given by

$\frac{y-2}{x-(-2)} = \frac{-1-2}{1-(-2)} \\ \\ \Rightarrow \frac{y-2}{x+2} = \frac{-3}{1+2} = \frac{-3}{3} =-1 \\ \\ \Rightarrow y-2=-(x+2)=-x-2 \\ \\ \Rightarrow y=-x$

Notice that line y = -x is a line passing through the origin which is the center of dilation.

Consider line A'C', the equation of the line is given by

$\frac{y-5}{x-(-5)} = \frac{-2.5-5}{2.5-(-5)} \\ \\ \frac{y-5}{x+5} = \frac{-7.5}{2.5+5} = \frac{-7.5}{7.5} =-1 \\ \\ \Rightarrow y-5=-(x+5)=-x-5 \\ \\ \Rightarrow y=-x$

As an be seen the line AC and the line A'C' is the same line.

4 0

3 years ago

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