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3 years ago

Parallelogram ABCD has vertices at A(0, 0) , B(4, 5) , C(8, 0) , and D(4,−5) .

Mathematics

1 answer:

Makovka662 [10]3 years ago

3 0

AB = √(5-0)^2 + (4-0)^2 = √25+16 = √41

BC = √(0-5)^2 + (8-4)^2 = √25+16 = √41

CD = √(-5 - 0)^2 + (4-8)^2 = √25+16 = √41

AD = √(-5-0)^2 + (4-0)^2 = √25+16 = √41

All the sides are equal so it is either a square or a rhombus.

The distance from A to C on the x axis is: 8-0 = 8 units.

The distance from B to D on the Y axis is: 5 - - 5 = 10 units.

Because the two distances are not the same, it is not a square.

The answer is 4. AB=BC ; therefore, ABCD is a rhombus.

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We know that the graph of a function is a line that passes through the coordinates (2, 11) and (8, 14) and we must find the equation for the line.

1. We must use the next formula to find the slope

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$\begin{gathered} y-11=\frac{1}{2}x-\frac{1}{2}\cdot2 \\ y-11=\frac{1}{2}x-1 \\ y=\frac{1}{2}x-1+11 \\ y=\frac{1}{2}x+10 \end{gathered}$

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8 0

1 year ago

A(x) = -0.015x^3+1.05xA ( x ) = − 0.015 x 3 + 1.05 x gives the alcohol level in an average person's blood x hrs after drinking 8

goldfiish [28.3K]

Answer:

Yes

Step-by-step explanation:

the function that gives the alcohol level is:

$A ( x ) = - 0.015 x^3 + 1.05 x$

where x is the number of hours.

we need to know if after 4 hours an average person is legally drunk, thus:

$x=4$

and we substitute this in the function:

$A ( 4 ) = - 0.015 (4)^ 3 + 1.05(4)$

solving these operations we obtain:

$A(4)=-0.015(64)+4.2\\A(4)=-0.96+4.2$

$A(4)=3.24$

the alcohol level after 4 hours is 3.24.

Since a person is considered to be legally drunk if the level exceeds 1.5, and we obtained 3.24 which is greater than 1.5, a person who has been drinking for 4 hours under the conditions indicated by the problem would be considered legally drunk.

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3 years ago

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Mekhanik [1.2K]

Answer:

35/40

Step-by-step explanation:

7/8, with the given denominator 40

So how do we get 8, to turn into 40?

Simple multiplication.

8x5 = 40, and whatever we multiply times the denominator, we multiply for the numerator.

7x5 = 35

The answer should be 35/40

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