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3 years ago

The formula y - y 1 = m(x - x 1 ) is the point-slope form of the equation of a line where m is the

Mathematics

1 answer:

rewona [7]3 years ago

3 0

Answer:

m=2

Step-by-step explanation:

0-(-2) / 5-4 = 2/1

m =2

The slope is 2 for the given points!

Hope that helps!

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What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?

astraxan [27]

ANSWER

The value of the expression is
$- 1$

EXPLANATION

Method 1: Rewrite as product of
${i}^{2}$

The expression given to us is,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4}$

We use the fact that
${i}^{2} = - 1$
to simplify the above expression.

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{0} \times {i}^{1} \times {i}^{3} \times {i}^{2} \times {i}^{4}$

This implies,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{0} \times {i}^{2} \times {i}^{2} \times {i}^{2} \times {i}^{2} \times {i}^{2}$

We substitute to obtain,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = 1\times - 1 \times - 1 \times - 1\times - 1 \times - 1$

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = 1\times 1 \times 1 \times - 1 = - 1$

Method 2: Use indices to solve.

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{0 + 1 + 2 + 3 + 4}$

This implies that,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{10}$

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = ( {{i}^{2}} )^{5}$

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = ( - 1 )^{5} = - 1$

8 0

3 years ago

Read 2 more answers

30% of students at Greenville High School participate in a sport. There are 540 students in the school. How many students in the

ivanzaharov [21]

Answer:

162 student play sports

Step-by-step explanation:

.3 represents 30 precent, so multiply 540 by .3 to get your awnser this is because the .3 is less than one so the multiplying will not raise the number but lower it to 162

6 0

2 years ago

21-35a<br>Factor the following expression

erica [24]

Answer:

7x(3-5a)

Step-by-step explanation:

21-35a =

to find a minimum common multiply you have to rationalize the number with the same numer, and this number must be a whole, this will help you to write the expression easier, if you notice that 21 and 35 are familiar of 7, then you can find a common factor, to multiply your expression

4 0

3 years ago

Bryson’s dad is 38 years old. If this is four years less than three times Bryson’s age, how old is Bryson?

klemol [59]

Answer:

Bryson’s age is 14 years

Step-by-step explanation:

Let

x ----> Bryson’s age

we know that

Bryson’s age multiplied by 3 minus 4 must be equal to 38

The linear equation that represent this situation is

$3x-4=38$

solve for x

Adds 4 both sides

$3x=38+4$

$3x=42$

Divide by 3 both sides

$x=14$

therefore

Bryson’s age is 14 years

7 0

3 years ago

Create a table and graph y=x+1 demos<br>

DerKrebs [107]

Answer:

The table will be:

x y=x+1

1 2

2 3

3 4

4 5

5 6

The graph is shown in figure attached.

Step-by-step explanation:

We need to create table and graph the expression: $y=x+1$

Table is made, such that we take value of x and find value of y

You can take any values of x from negative values to positive values. I am taking values of x: 1,2,3,4,5 and find value of y.

So our table will be:

x y=x+1

1 2

2 3

3 4

4 5

5 6

Now, we will plot these value on the graph. x values will be on x-axis and corresponding y-values will be on y-axis.

The graph is shown in figure attached.

8 0

3 years ago