Answered

Use Pythagoras' theorem to work out the length of AD in this triangular prism.

Give your answer in centimetres (cm) to 1 d.p.

B

A

F

3 cm

E

8 cm

D

C

14 cm

Not drawn accurately

Verified Answer :

Answer:

Step-by-step explanation:

AI-generated answer

To find an equation of a line parallel to

 and passing through the y-intercept of 3, we can follow these steps:

1. Determine the slope of the given line: The slope of the line

 is -3.

2. Since the line we are looking for is parallel to this line, the slope of the new line will also be -3.

3. Use the point-slope form of the equation of a line:

The general form of the point-slope equation is

, where

 is a point on the line and  is the slope.

4. Given that the y-intercept is the point (0, 3), we substitute

 and

 into the point-slope form:

5. Simplify the equation:

6. Finally, write the equation in slope-intercept form (y = mx + b) by isolating y:

Therefore, an equation of the line parallel to

 and passing through the y-intercept of 3 is .

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