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Svetllana [295]
3 years ago
9

Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.

Mathematics
1 answer:
Schach [20]3 years ago
4 0

Answer:

A. x-2y=-12

Step-by-step explanation:

We have been given an equation of a line in point-slope form. We are asked to write our given equation in standard form.

y-3=\frac{1}{2}(x+6)

Since we know that standard form of equation is: ax+by=c, where, a, b and c are constants.

Let us multiply both sides of our given equation by 2.

(y-3)*2=2*\frac{1}{2}(x+6)

2y-6=x+6

Let us add 6 to both sides of our equation.

2y-6+6=x+6+6

2y=x+12

Let us subtract x from both sides of our equation.

2y-x=x-x+12

2y-x=12

Multiply both sides of our equation by -1.

-2y+x=-12

Rearranging our equation we will get,

x-2y=-12

Therefore, the standard form of our given equation is x-2y=-12 and option A is the correct choice.

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user100 [1]

Answer: The graph shows that people procrastinate by doing their taxes mostly in April then in the beginning of the year in January

Step-by-step explanation: think about it the name in the title has procrastinated in it which means holding off for a certain amount of time, then look at the graph most the people held off until April, why must you ask? Because the taxes are higher in the beginning of the year

3 0
3 years ago
How did the temperature change if: At first it increased by 25% and then decreased by 40%
Roman55 [17]

Answer:

24.6 % decrease

Step-by-step explanation:

Let x be the original temperature

Increase by 25%

x + .25x

1.25x

Decrease by 40%

The amount decreased is

(1.25x) *.40

.496x

Subtract that from 1.25x

1.25x - .496x

.754x

We need to find the percent decrease

1 - .754 = .246

24.6 % decrease

7 0
3 years ago
Read 2 more answers
I’m sorry but need help
arsen [322]

These are pretty easy once you get the concept.

think of <em>random letter</em> (x) as the term y, so in the case of p(x)=-3+4x, its just asking what is y when x equals all those values.

so p(-2) = -3 + 4(-2), since its asking to plug in -2 for x, which equals -11

p(0) = -3 + 4(0)

= -3

p(5) = -3 + 4(5)

= 17

4 0
2 years ago
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the gi
sasho [114]
Equation of a line passing through point (x1, y1) with slope m is given by y - y1 = m(x - x1)
For parallel lines, the slope of the required line is equal to the slope of the given line.
x = -3 is a vertical line, therefore, the required line will also be a vertical line since they are parallel.
Since the required line passes through point (4, 2), the equation of the required line is x = 4.
7 0
3 years ago
Find the means of these numbers 3,7,2,9,4,7,3,7,5,2
Sholpan [36]

The "mean" of a group of numbers is also called their "average".

To calculate the mean, add up all the numbers, then
divide the sum by the number of items on the list.

Step #1:  Addum up:  3+7+2+9+4+7+3+7+5+2 = 49

Step #2:  Count the number of items on the list:  I count 10 .

Step #3:  Divide the sum by the number of items on the list.

                 49 / 10  =  4.9

The mean (average) of the numbers on that list is  4.9 .

6 0
3 years ago
Read 2 more answers
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