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Whitepunk [10]
4 years ago
6

A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marin

a traced the map onto a coordinate plane to find the exact location of the treasure.What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth.
A. (11.4, 14.2)
B. (7.6, 8.8)
C. (5.7, 7.5)
D. (10.2, 12.6)

Mathematics
1 answer:
sattari [20]4 years ago
4 0

Answer:

Option B. is the answer.

Step-by-step explanation:

The given question is incomplete without the attachment; here is the attachment enclosed with the answer.

Since coordinates of the point representing rock is (3, 2) and coordinates of the tree are (16, 21) and treasure divides the line joining rock and tree in the ratio of 5:9.

We know the formula to get the coordinates of point P(x, y) joining (a, b) and (c, d) in the ratio of m : n is

P(x, y) = [\frac{(mc+na)}{m+n}, \frac{(md+nb)}{m+n}]

From the given formula,

Coordinates of treasure P = [\frac{((5\times 16)+(9\times 3)}{(5+9)}, \frac{(5\times 21)+(9\times 2)}{(5+9)}]

= [\frac{(80)+(27)}{(14)}, \frac{(105)+(18)}{(14)}]

= [7.64, 8.78]

≈ (7.6, 8.8)

Therefore, Option B will be the answer.

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System A
Sonbull [250]

For the given systems we have:

1) Swap the right sides of both equations in system A.

2) No, the systems are not equivalent systems.

<h3>How can we get System B from System A?</h3>

The two systems are:

A:

-10x - 4y = 0

-2x + 7y = 8

B:

-10x - 4y = 8

-2x + 7y = 0

Notice that the only different thing between the systems is that the right sides are inverted. So, if we invert the right side of A, we will get system B.

2) Are the systems equivalent?

No, the systems are not equivalent because to go from system A to system B we only modified the right side of system A, the systems would be equivalent only if modifying both sides of A gave system B, but this is not the case.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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4 0
2 years ago
What’s the cube root of 1
Novay_Z [31]

Answer:

1

Step-by-step explanation:

\sqrt[3]{1}  =  \sqrt[3]{ {(1)}^{3} } = 1

5 0
3 years ago
Read 2 more answers
Application Question:
Alika [10]
When you add 4 to 25 you get 21 then subtract 11 and get 10 and then add 15 which is equal to 25 and then subtract 13.

the answer is 12
7 0
3 years ago
Sabrina is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Sabrina
satela [25.4K]
Plug in the point (1,6) into each answer choice.

A) f(n) = 5n - 1
f(1) = 5(1) - 1 = 5 - 1 = 4
(1,4) ≠ (1,6)

Answer choice A is incorrect.

B) f(n) = 5n + 1
f(1) = 5(1) + 1 = 5 + 1 = 6
(1,6) = (1,6)

Answer choice B is correct.

C) f(n) = 4n + 3
f(1) = 4(1) + 3 = 4 + 3 = 7
(1,7) ≠ (1,6)

Answer choice C is incorrect.

D) f(n) = 4n - 3
f(1) = 4(1) - 3 = 4 - 3 = 1
(1,1) ≠ (1,6)

Answer choice D is incorrect.


Your answer is B) f(n) = 5n + 1
6 0
3 years ago
Read 2 more answers
Plz help(by solving for x)
Alex Ar [27]

Answer:

x = 5.85641

Step-by-step explanation:

Step 1: Find missing leg of left triangle

sin30° = x/16

16sin30° = x

x = 8

Step 2: Find missing leg of right triangle

8² + b² = 16²

b² = 192

b = 8√3

Step 3: Find <em>x</em> by taking the difference

8√3 - 8 = 5.85641

4 0
4 years ago
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