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Vladimir79 [104]
3 years ago
12

Segment AB falls on line 6x + 3y = 12. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?

Mathematics
2 answers:
astra-53 [7]3 years ago
8 0

Answer:

C. They are lines that lie exactly on top of one another because they have the same slope and the same y-intercep

Step-by-step explanation:

spin [16.1K]3 years ago
6 0

Answer:

  • C. They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept.

Step-by-step explanation:

<u>Given lines</u>

  • 6x + 3y = 12 ⇒ 2x + y = 4 ⇒ y = -2x + 4
  • 4x + 2y = 8 ⇒ 2x + y = 4 ⇒ y = -2x + 4

The lines are same as both have same slope and y-intercept.

<u>Correct statement is following:</u>

  • C. They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept.
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PAST DUE DATE NEED DONE NOW! NO LINKS! HELP ME FIND THE EQUATION
Soloha48 [4]

To write an equation for this line, you first need to understand how to derive it.

Let's utilize slope-intercept form, as it's the easiest to understand compared to any other form for line functions:

y = mx + b

m: The slope of the line

b: The y-intercept (The point where the line is at the y-axis)

Now that we've defined our variables, how do we go about making the actual equation? Let's start off with the slope, m.

The slope is a measure of how high or low the line is. The number is a ratio between the rise and run of a slope. In other words, it is essentially \frac{rise}{run}

Let's look back at the graph. In the time interval from 1 to 2 seconds, we see that the line rises by 22 feet. Because the time interval is only 1 second, the run is 1 second.

Therefore:

m = \frac{rise}{run}

m = \frac{22}{1}

m = 22

We now have the first variable of the equation.

y = 22x + b

What about b? As we established earlier, b is the value of coordinate y at the y-intercept. Essentially, to find b we need to know what the value of y is when the coordinate x is 0.

As you can see from the graph you made, the value of y when x is 0 is also 0. This makes sense, too. How can the cheetah travel distance at 0 seconds when it obviously hasn't started moving? We now know b = 0. Now, we have gotten all of the variables we need to make a full equation:

y = 22x + 0

y = 22x

If you'd like me to explain how I did anything, just ask!

- breezyツ

8 0
3 years ago
Read 2 more answers
A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 210 feet (ft). If the wheel
frutty [35]

Answer:

The change in the height of the seat of the Ferris wheel is a reduction in height of approximately 74.25 feet

Step-by-step explanation:

The given information are;

The position of the seat on the Ferris wheel = The center level of the wheel

The diameter of the Ferris wheel = 210 feet

The angle of rotation of the wheel = 45° counterclockwise

The height of a point on the Ferris wheel is given by the relation;

h = A·cos(b·x + c) + d

With regards to the question, we have;

h = The height of the seat of the Ferris wheel

A = The amplitude = 1/2 × The diameter of the wheel = 210/2 = 105 feet

360/b = The period

c = The phase shift = 90°

d = The mid line = 0

For a rotation of 45° counterclockwise or-45° clockwise, we have;

b·x = 45°, therefore;

h  = 105 × cos(45° + 90°) + 0 = 105 × cos(135°) + 0

h = 105 × cos(135°) ≈ -74.25 feet

Therefore, the height of the seat of the Ferris wheel reduces by 74.246 feet.

6 0
3 years ago
( -20 , 14 ) and ( 30, 18)<br> Slope, Explanation needed please HELPPPPPP
Morgarella [4.7K]

Answer: 2/25

Step-by-step explanation:

The formula to find the slope is (y2-y1)/(x2-x1)

If you plug in the numbers, you get (18-14)/(30-(-20))

Solve the expression and you get 4/50 = 2/25

So your answer is 2/25

6 0
2 years ago
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Solve<br>4(2x - 3) = 6x + 2​
Aleks [24]
X=7 hope it helps!!!!
8 0
2 years ago
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Define the mathematical base <br>And give an example
lyudmila [28]

Answer:

Answer below

Step-by-step explanation:

A base is the number of digits in a number system. For example in the decimal number system we use the 10 digits ( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ). So it has the base 10.

HOPE IT HELPED

6 0
3 years ago
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