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pochemuha
3 years ago
6

Guys please help me i need pictures

Mathematics
1 answer:
attashe74 [19]3 years ago
4 0

Answer:

See the graph below.

Step-by-step explanation:

The graph is vertically translated by 6.

f(x) + 6 is indicated by blue line.

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Brian, Alex & Colin share some money in the ratio 1:9:3.
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Answer:

Step-by-step explanation:

1:9:3

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A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl
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Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

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If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

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m=\frac{y2-y1}{x2-x1}

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

m=\frac{8-5}{1+5}

m=\frac{3}{6}

m_A_B=\frac{1}{2}

step 2

Find slope BC

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substitute in the formula

m=\frac{2-8}{4-1}

m=\frac{-6}{3}

m_B_C=-2

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

m=\frac{-2-2}{-2-4}

m=\frac{-4}{-6}

m_C_D=\frac{2}{3}

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

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

m=\frac{-7}{3}

m_A_D=-\frac{7}{3}

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

m_A_B=\frac{1}{2}

m_C_D=\frac{2}{3}

so

m_A_B \neq m_C_D

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

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