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7nadin3 [17]
3 years ago
13

I need help with number 16 please.

Mathematics
1 answer:
Ugo [173]3 years ago
8 0
Do it ur self etc so don't ask me
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A new library, L, is to be built at some point along a straight road, R, such that its distance from train station, T, is the sh
andreyandreev [35.5K]

Answer:

Coordinates of the new library is (150, 70)

Step-by-step explanation:

To get the shortest possible distance means that line from point T to point R has to be perpendicular.

Now, the equation of R is given as;

y = x - 80 - - - (1)

For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.

Thus, slope of T is -1/1 = - 1

Thus, using line - slope intercept of y = mx + c, we can find equation of T as;

140 = -1(80) + c

140 = -80 + c

c = 140 + 80

c = 220

Thus, equation is;

y = -x + 220 - - - (eq 2)

Adding equation 1 to equation 2,we have;

y + y = 220 - 80

2y = 140

y = 140/2

y = 70

Putting 70 for y in eq 1 gives;

70 = x - 80

x = 70 + 80

x = 150

Thus;

Coordinate of the new library is (150, 70)

8 0
3 years ago
What is the value of 3-(-2)?
Lostsunrise [7]

Answer:

5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Will someone please check my answers asap?? will give a brainliest
Usimov [2.4K]

Your choices are correct.

1. adding -3 to the function shifts its graph downward by 3 units.

2. 7^(2x) = (7^2)^x = 49^x

3. f(0) = -6; g(0) = -3, f(0) = 2×g(0)

3 0
3 years ago
an amusement park charge 35.50 for admission.on saturday,6,789 people visited the park.about how much money did the park earn fr
sp2606 [1]
6,789
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35.50
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32.39
3 0
3 years ago
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Somebody please help me out!
dmitriy555 [2]
Since the triangles are similar, all sides are proportional by the same scale factor.
The relationship between the bases 32 and 8 is 4 (32/8 = 4). This means that the smaller triangle need to be multiplied by a scale factor 4 to result in the bigger triangle.
This means that 4x + 12 is 4 times greater than 15.
The equation to solve for x can be written as:
4x + 12 = 4*15
Now just solve for x as u normally would
4x + 12 = 60
(Subtract twelve from both sides)
4x = 48
(Divide both sides by 4 to isolate x)
x = 12

I hope this somewhat helped :)
Was my explanation clear enough?
4 0
3 years ago
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