Help pls! Will give brainliest!

Answers

Answer 1

Answer: To determine which line among AB, BC, and CA is parallel to the line 2y - 3x = 6, we need to find the slopes of these lines and compare them to the slope of the given line.

The slope-intercept form of a line is y = mx + b, where m is the slope.

Given line: 2y - 3x = 6
To convert it into slope-intercept form, isolate y:
2y = 3x + 6
y = (3/2)x + 3

The slope of the given line is (3/2).

Now, let's find the slopes of the lines AB, BC, and CA:

1. Line AB:
Coordinates of A(-5, -12) and B(11, -4)

Slope (m) of AB = (change in y) / (change in x) = (-4 - (-12)) / (11 - (-5)) = 8 / 16 = 1/2

2. Line BC:
Coordinates of B(11, -4) and C(7, 6)

Slope (m) of BC = (change in y) / (change in x) = (6 - (-4)) / (7 - 11) = 10 / (-4) = -5/2

3. Line CA:
Coordinates of C(7, 6) and A(-5, -12)

Slope (m) of CA = (change in y) / (change in x) = (-12 - 6) / (-5 - 7) = -18 / (-12) = 3/2

Now, let's compare the slopes:

- Slope of the given line: 3/2
- Slope of AB: 1/2
- Slope of BC: -5/2
- Slope of CA: 3/2

The line that is parallel to the given line 2y - 3x = 6 is Line CA, as it has the same slope of 3/2.

Answer 2

Answer:

Answer:

CA.

Step-by-step explanation:

To find the gradient (slope) of the line 2y - 3x = 6, we need to rewrite the equation in slope-intercept form (y = mx + b), where "m" represents the gradient. Here's how:

2y - 3x = 6

First, isolate "y" on one side of the equation:

2y = 3x + 6

Next, divide both sides by 2 to solve for "y":

y = (3/2)x + 3

Now we can see that the gradient (slope) of the line is (3/2).

Now, let's analyze the three lines AB, BC, and CA, formed by the points A(-5, -12), B(11, -4), and C(7, 6).

The gradient (slope) of the line AB can be calculated using the coordinates of points A and B:

Gradient of AB = (Change in y) / (Change in x) = (-4 - (-12)) / (11 - (-5)) = 8 / 16 = 1/2

The gradient (slope) of the line BC can be calculated using the coordinates of points B and C:

Gradient of BC = (Change in y) / (Change in x) = (6 - (-4)) / (7 - 11) = 10 / (-4) = -5/2

The gradient (slope) of the line CA can be calculated using the coordinates of points C and A:

Gradient of CA = (Change in y) / (Change in x) = (-12 - 6) / (-5 - 7) = -18 / (-12) = 3/2

Now, we compare the gradients of the lines AB, BC, and CA to the gradient of the line 2y - 3x = 6 (which is 3/2). We see that the line CA has the same gradient (3/2) as the line 2y - 3x = 6.

So, the line CA is parallel to the line 2y - 3x = 6.

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Answers

so 4.5 is equal to 4 and 1/2
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Answers

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Step-by-step explanation:

easy

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Answers

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-- The total angle around each vertex is 360° .
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Answer:

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Step-by-step explanation:

Can somebody pls help ill give you 10 or 22 points pls I’m stuck.

Answers

Sorry no roller

Hope it’s right
Best luck with your studying

Point P has coordinates (2,3). Point Q is symmetric to point P with respect to the line x = 4. What are the coordinates of point Q. Im wondering how you solve this. I think it's (3,6) A. (2,5)
B. ( 5,3)
C. (3,6)
D. (6,3

Answers

You are given the first point (2, 3) and a line x = 4. If you go ahead and graph these, it makes it a little more clear when they say that point p is symmetric with point Q with respect to the line x = 4.

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Answers

Answer:

C. a quantity used as a standard measurement

Step-by-step explanation:

A unit is a universally acceptable system of measurement. The system is majorly referred to as the international standard of units i.e (SI) units.

Since physical quantities could be categorize as either fundamental or derived. The use of units in measurement is very essential, because it relates the magnitude measured to the physical quantity.

The units of measurement tells what physical quantity has been measured.

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