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3 years ago

Find the slope of the line

Mathematics

1 answer:

Elza [17]3 years ago

8 0

Answer:

-3'1

-6'1

Step-by-step explanation:

the bottom left and top right are always going to be negative. The right top and bottom are positive numbers. so the answer is -3'1 for the first top one then the second bottom dot is -6'1

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What is the position of D on the number line below?

Vesnalui [34]

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2 years ago

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looks out from the crown of the Statue of Liberty, approximately 250 ft above ground. The tourist sees a ship coming into the ha

Zigmanuir [339]

Answer:

The distance from the base of the statue to the ship is 771.60 ft

Step-by-step explanation:

Refer the attached figure

Height of statue AB= 250 feet

The tourist sees a ship coming into the harbor and measures the angle of depression as 18°.

So, ∠ACB = 18°

We are supposed to find the distance from the base of the statue to the ship i.e. BC

In ΔABC

$Tan \theta = \frac{Perpendicular}{Base}$

$Tan 18^{\circ}=\frac{AB}{BC}$

$Tan 18^{\circ}=\frac{250}{BC}$

$BC=\frac{250}{Tan 18^{\circ}}$

$BC=\frac{250}{0.324}$

BC=771.60 ft

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3 years ago

line 1 passes through (2,2) and (5,5). line 2 passes through (3,-6) and (-5,2). Are the lines parallel or perpendicular?

Gelneren [198K]

Find the slope of the first line, that is the difference of the y’s over the difference of the x’s. This way: 2-5/2-5=-3/-3 which equals 1
Now find the slope of the second line 2-(-6)/-5-3
=8/-8
=-1
The slopes are opposite reciprocal ( you could also say that the product of the 2 slopes equals -1) therefore the lines are perpendicular.

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3 years ago