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3 years ago

Which term best describes a mathematical statement of the form shown below? If A, then B.

Mathematics

2 answers:

Solnce55 [7]3 years ago

6 0

It maybe conditional statement

Nadya [2.5K]3 years ago

3 0

A conditional statement
should be correct

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Find the equation of a line parallel to 2x-2y=-4 that passes through the<br> 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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1 year ago

What is the answer 450*14

morpeh [17]

Answer:

6300

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the slope of the graph of<br> y = -3x + 2?

Ne4ueva [31]

Answer: -3

Step-by-step explanation:

5 0

3 years ago

Find area of shaded. Exact answer of pi

xenn [34]

Area circle = pi(6^2) = 36pi
Area right triangle = 1/2(6)(6) = 18
Area shaded = 36pi - 18

4 0

2 years ago

This is a question I have been trying to do for quite a while. My additional mathematics exam is next week and I need help. Anyo

Radda [10]

First of all, let's consider the line, since it's simpler to graph: we draw the endpoints and connect them:

$f(x)=2-\dfrac{3x}{4\pi} \implies f(0)=2,\quad f(2\pi)=\dfrac{1}{2}$

So, you just need to draw the points

$(0,2),\quad \left(2\pi, \dfrac{1}{2}\right)$

As for the trigonometric function, we have to start from the parent function $y=\sin(x)$ and derive the graph of its child function via transformations:

When we multiply the whole function by 2, we stretch the graph vertically. So, the function has still period $2\pi$ , but now it ranges from -2 to 2 instead of from -1 to 1 (amplitude 2)
When we multiply the argument by 2, we compress the function horizontally. So, the new period becomes $\pi$ , and the function makes two complete oscillations from 0 to $2\pi$

You can see the two functions in the image below. You can also see that the two graphs cross 4 times, meaning that the equation

$y_1=y_2$ has four solutions.

3 0

3 years ago