MATHEMATICS HIGH SCHOOL

What is the equation of the line that passes through the points (–2, 2) and (0, 5)?

Answers

Answer 1

Answer:

Answer:

The equation of line is given by

$y=(3)/(2)x+5$

Step-by-step explanation:

We have been given the points (–2, 2) and (0, 5) and we have to find the equation of the line.

Let us first find the slope of the line using the formula

$m=(y_2-y_1)/(x_2-x_2)$

On substituting the values, we get

$m=(5-2)/(0+2)$

$m=(3)/(2)$

Now, using the point slope form, the equation of line is given by

$y-y_1=m(x-x_1)\ny-2=(3)/(2) (x+2)\n\ny-2=(3)/(2)x+3\n\ny=(3)/(2)x+5$

Therefore, the equation of line is given by

$y=(3)/(2)x+5$

Answer 2

Answer: Hello,

The slope= (5-2)/(0+2)=3/2

Equation is y-2=3/2(x+2) or y=3x/2+5

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A phone company charges $25 per month, plus an installation fee of $50. If you have paid the phone company $375, how many months have you had the phone?

Answers

The total bill was inclusive of the one-time payment of $50 and an additional payment of $25 per month. The only unknown variable here is the amount of months you've had the phone. This can be solved by isolating the unknown variable, like so:

Let: x = number of months

Total bill = one-time payment + monthly payment * number of months
$375 = $50 + $25x
375 - 50 = 25x
325 = 25x

325/25 = 25x/25
x = 13

Therefore, you've had the phone for 13 months.

X^2+2x in factored form

Answers

in factor form, take x as a common factor
x(x+2)

Expand the following 4/5 (20x - 10)

Answers

Answer:

The required answer is $16x-8$ .

Step-by-step explanation:

Consider the provided expression 4/5 (20x - 10)

The above expression can be written as:

$(4)/(5)(20x-10)$

Now, use the distributive property:

Distributive property: a(b+c)=ab+ac

Use the above property

$(4)/(5)* 20x-(4)/(5)* 10$

$4* 4x-4 * 2$

$16x-8$

Hence, the required answer is $16x-8$ .

4/5 (20x - 10)...use distributive property...basically multiplying the 4/5 by everything in the parenthesis,

4/5 * 20x - 4/5 * 10 =
16x - 8

The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers?Which three expressions could be used to represent the numbers?

Answers

the first number is 11, the second is 7, and the third one is 44 if you add them all together you'll find that they all add up to 62, I would add the work but I need to get offline for a few minutes I hope I helped!

Showing work:
x+(x-4)+4x=62
6x-4=62
6x=66
x=11
The numbers are: 11, 7, 44

23.15 – [ 115 + ( 12 - 25)]