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3 years ago

I need help on number 10 please!

Mathematics

1 answer:

hammer [34]3 years ago

4 0

Answer: y = 4x/3 - 5/2

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m = slope = (y2 - y1)/(x2 - x1)

The given line, L1 passes through A(6, - 7) and B(- 6, 2). The slope of line L1 is

m = (2 - - 7)/(- 6 - 6) = 9/ -12 = - 3/4

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of line L2 passing through the midpoint, M is 4/3

The formula determining the midpoint of a line is expressed as

[(x1 + x2)/2 , (y1 + y2)/2]

Midpoint, M = [(6 + -6)/2 , (- 7 + 2)/2]

= (0, - 5/2]

This means that the y intercept of line L2 is - 5/2

The equation of L2 becomes

y = 4x/3 - 5/2

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3 years ago

a 28 ft. ladder leaning against a vertical wall makes an angel of 80 degrees with the ground. How far from the base of the wall

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Answer:

The ladder is 4.86 foot from the base of the wall .

Step-by-step explanation:

Given as :

The length of the ladder = 28 ft

The ladder makes angle of 80° with the ground

Let The distance of the ladder from the foot of the wall = x ft

Now, From Triangle BAC

Cos angle = $\dfrac{\textrm Base}{\textrm Hypotenuse}$

I.e Cos 80° = $\dfrac{\textrm BA}{\textrm AC}$

Or, 0.1736 = $\dfrac{\textrm x}{\textrm 28}$

Or, x = 0.1736 × 28

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So, The distance of ladder from wall base = x = 4.86 foot

Hence The ladder is 4.86 foot from the base of the wall . Answer

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3 years ago