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4 years ago

Graph the points and state whether they are collinear.

Mathematics

1 answer:

aev [14]4 years ago

5 0

2) (-1,1), (2,-2), (4,-3)

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A car leaves Albany, NY, and travels west toward Buffalo, NY. The equation D=280-59t can be used to represent the distance,D, fr

andreyandreev [35.5K]

2.- speed of the car

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3 years ago

1011+111 in binary form

Ann [662]

Answer:

10010

Step-by-step explanation:

$1011=1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$111=1(2)^2+1(2)^1+1(2)^0$

So $1011+111$ gives us:

$1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$+$

$1(2)^2+1(2)^1+1(2)^0$

-----------------------------------------------------

Combine like terms:

$1(2)^3+(0+1)(2)^2+(1+1)(2)^1+(1+1)(2)^0$

$1(2)^3+1(2)^2+(2)(2)^1+(2)(2)^0$

We aren't allowed to have a coefficient bigger than 1.

I'm going to replace $2^0$ with 1 and $2$ with $(2)^1$ :

$1(2)^3+1(2)^2+(2)^2+(2)^1(1)$

I want a $2^0$ number:

$1(2)^3+1(2)^2+1(2)^2+1(2)^1+0(2)^0$

Combine like terms:

$1(2)^3+2(2)^2+1(2)^1+0(2)^0$

$2(2)^2=2^3$ :

$1(2)^3+2^3+1(2)^1+0(2)^0$

Combine like terms:

$2(2)^3+1(2)^1+0(2)^0$

We can rewrite the first term by law of exponents:

$2^4+1(2)^1+0(2)^0$

$1(2)^4+1(2)^1+0(2)^0$

So the binary form is:

$10010$

Maybe you like this way more:

Keep in mind 1+1=10 and that 1+1+1=11:

Setup:

1 0 1 1

+ 1 1 1

------------------------------

(1) (1) (1)

1 0 1 1

+ 1 1 1

------------------------------

1 0 0 1 0

I had to do some carry over with my 1+1=10 and 1+1+1=11.

8 0

3 years ago

Based on the table below, find the input and output values of the function.

tamaranim1 [39]

Answer:

the inputs are: 0,1,2,8,12

the outputs are: 19,9,7,16,17

(Put them in order if needed)

**inputs are x values and outputs are the y values**

8 0

3 years ago

What is the solution

erastovalidia [21]

Answer:

b or a

Step-by-step explanation:

3 0

4 years ago

What is 5/6 divided by 1/7?

skelet666 [1.2K]

Answer:

5 $\frac{5}{6}$

Step-by-step explanation:

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. (Seven over one)

$\frac{5*7}{6*1} =\frac{35}{6}$

Now, we convert the fraction into a mixed fraction.

$\frac{35}{6}=5\frac{5}{6}$

The quotient of 5/6 and 1/7 is 5 5/6

8 0

4 years ago