Which of the following terms best describes the graph of the exponential

Find the equation of a line parallel to 2x-2y=-4 that passes through the point (3,9).

erastovalidia [21]

The line which is parallel to 2x-2y=-4 that passes through the

point (3,9) is x-y = -6.

Given that, 2x-2y = -4 passes through the point (3,9) then we have to find the equation of a line which is parallel to the given equation of line.

Let's proceed to find the equation of the line.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

Using the slope-intercept formula, the equation of the line is:

y = mx + b

where,

m = the slope of the line

b = y-intercept of the line

(x, y) represent every point on the line

x and y have to be kept as the variables while applying the above formula.

2x-2y = -4

-2y = -4-2x

y = -4/-2 - 2x/-2

y = 2+x

y = x+2

On comparing with y = mx+b

m = 1 and b = 2

As the lines are parallel then the slope of other line will also be same i.e., m = 1

The point from which it is passes is (3,9)

⇒ x₁ = 3 and y₁ = 9

y-y₁ = m(x-x₁)

⇒ y-9 = 1(x-3)

⇒ y-9 = x-3

⇒ y = x-3+9

⇒ y = x+6

⇒ x-y = -6

Therefore, the line which is parallel to 2x-2y=-4 that passes through the

point (3,9) is x-y = -6.

Hence, x-y = -6 is the required answer.

Learn more in depth about similar problem at brainly.com/question/1884491

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7 0

1 year ago

(-3,5) and y-5/2x-1 what is the answer

kozerog [31]

- 5 over 2 x -1

hope i helped

3 0

3 years ago

Identify the vertex and directrix of each. y = x2 + 2x - 4

sergey [27]

Answer:

See below

Step-by-step explanation:

Convert equation to vertex form $y=(x-h)^2+k$ by completing the square:

$y=x^2+2x-4$

$y+5=x^2+2x-4+5$

$y+5=x^2+2x+1$

$y+5=(x+1)^2$

$y=(x+1)^2-5$

Vertex:

$(h,k)\rightarrow(-1,-5)$

Directrix:

$y=k-\frac{1}{4a}\rightarrow y=-5-\frac{1}{4(1)}\rightarrow y=-\frac{21}{4}$

8 0

2 years ago

The Marcos family consists of 2 adults and 4 children. They spent a total of $40 on circus tickets. Let x represent the cost of

matrenka [14]

Answer:

First Option

Step-by-step explanation:

First, we will find the equation for the total cost of the tickets.

Given x = Cost of 1 adult ticket

y = Cost of 1 Child ticket

Total Cost of tickets at $40:

2x + 4y = 40

To find which graph represent the cost of the tickets,

we can substitute x = 0 to find y and vice-versa.

If x = 0 ,

$2(0) + 4y = 40\\4y = 40\\y = \frac{40}{4} \\= 10$

So when x = 0 , y = 10 which gives the coordinates (0,10).

Now if y = 0,

$2x+4(0) = 40\\2x = 40\\x = \frac{40}{2} \\= 20$

So when y = 0 , x = 20 which gives the coordinates (20,0)

This shows that this particular line passes through these 2 points and therefore the answer is the first option.

6 0

2 years ago

Which values from this set {−12, −9, −3, 0, 3, 6} satisfy this inequality?

Vesna [10]

The values -3, -9 and -12 satisfy the inequality.

In this question we evaluate each element of the set to determine whether value belongs to the inequation given on statement:

x = 0

$-13\cdot 0 + 3 \ge 6$

$3\ge 6$ (FALSE)

x= -3

$-13\cdot (-3) +3 \ge 6$

$42\ge 6$ (TRUE)

x = -9

$-13\cdot (-9)+3 \ge 6$

$120\ge 3$ (TRUE)

x = -12

$-13\cdot (-12) +3 \ge 6$

$159 \ge 6$ (TRUE)

The values -3, -9 and -12 satisfy the inequality.

We kindly invite to see this question on inequalities: brainly.com/question/17675534

7 0

2 years ago