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3 years ago

PLEASE HELP 50 POINTS

Mathematics

2 answers:

Ivahew [28]3 years ago

6 0

Answer:

y=Mx+b

m=slope= -7/8

b =y intercept = -4

y= -7/8x -4

Step-by-step explanation:

DaniilM [7]3 years ago

5 0

Use format: y = mx + b
Plug in everything
Answer: y = -7/8x - 4

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Cafe 103 is equidistant and colinear from metric school and angles lab. The metric school is located at (4,6) on a coordinate pl

Anastaziya [24]

A point is aquidistance from two other points when the distance of the point from each of the other two points are equal.

Two or more points are said to be colinear when the points lie on the same line.

Given that <span>Cafe 103 is equidistant and colinear from metric school and angles lab, this means that Cafe 103 is located at the midpoint of the line joining the points representing the metric school and angles lab.

Let the coordinates of angles lab be (x, y), then
$(7, \ 2)=\left( \frac{x+4}{2}, \ \frac{y+6}{2} \right) \\ \\ \Rightarrow x+4=2(7) \ and \ y+6=2(2) \\ \\ \Rightarrow x+4=14 \ and \ y+6=4 \\ \\ \Rightarrow x=14-4 \ and \ y=4-6 \\ \\ \Rightarrow x=10 \ and \ y = -2$

Therefore, the coordinate of angles lab is (10, -2)
</span>

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4 years ago

A flagpole sits on the top of a cliff that is 25 m above sea level. If the angle of elevation from a boat on the water to the to

OLEGan [10]

Answer:

3.2 m

Step-by-step explanation:

Let x be the distance between the cliff and the boat.

Since the cliff is 25 m above sea level and the distance between the boat and the height of the cliff are perpendicular, and the line of sight of the boat to the base of a cliff is 29 , these three form a right-angled triangle with hypotenuse side as the line of sight of the elevation of the boat to the base of the cliff.

So, using trigonometric ratios, tan29° = 25/x

x = 25 m/tan29° = 25 m/0.5543 = 45.1 m

Also, the line of sight of the top of the flagpole, the cliff and the distance between the boat and the cliff form a right-angled triangle with hypotenuse side as the line of sight of the top of the flagpole,

Now, the angle of elevation of the top of the flagpole from the top of the boat is 32°, we now find the angle opposite to x, the distance from the boat to the cliff.

Since it is a right-angled triangle, thus one angle is 90° and the unknown angle is A.

So, 90° + 32° + A = 180° (sum of angles in a triangle)

122° + A = 180°

A = 180° - 122°

A = 58°

Let y be the length of the flagpole. In this same triangle, using the sine rule, with x being the side opposite A and 25 + y being the side opposite the 32° angle, where 25 + y = height of cliff + length of flagpole, then

x/sinA = (25 + y)/sin32°

25 + y = xsin32°/sinA

y = xsin32°/sinA - 25

y = 45.1sin32°/sin58° - 25

y = 45.1 × 0.5299/0.8480 - 25

y = 45.1 × 0.6249 - 25

y =28.183 - 25

y = 3.183

y ≅ 3.2 m to one decimal place

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Answer:

Step-by-step explanation:

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3 years ago

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