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3 years ago

Based on the image, which list of 3 points are collinear?

Mathematics

1 answer:

Whitepunk [10]3 years ago

3 0

Answer:

Collinear occurs when the two points has the same gradient,

So, for this question any line that forms by any three points would be collinear.

Hence, EBF,DGC,MGN,BGA are all collinears

Step-by-step explanation:

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A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 65 miles north of the t

mart [117]

Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

7 0

2 years ago

What is the domain of C(b)=50+0.15b

Sloan [31]

Negative infinity to positive infinity

6 0

3 years ago

What is the value of u + v + w when u = –10, v = 4, and w = 8?

Y_Kistochka [10]

The answer is b. 2. It is 2, because -10 plus 4 is -6. Then -6 plus 8 is 2.

5 0

4 years ago

What is the coterminal angle of 330 degrees

aleksandrvk [35]

Positive: 690

Negative: -30

4 0

3 years ago

Find the length of the third side. If necessary, round to the nearest tenth.<br> 6<br> 14

Romashka-Z-Leto [24]

Answer:

≈ 12.6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the third side, then

x² + 6² = 14²

x² + 36 = 196 ( subtract 36 from both sides )

x² = 160 ( take the square root of both sides )

x = $\sqrt{160}$ ≈ 12.6 ( to the nearest tenth )

8 0

3 years ago