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Rainbow [258]
3 years ago
10

On a coordinate plane, a line is drawn from Rock to Tree. The x- and y-axes are labeled feet. Rock is at (3, 2) and Tree is at (

16, 21).
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. Marina traced the map onto a coordinate plane to find the exact location of the treasure.

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth.

(11.4, 14.2)
(7.6, 8.8)
(5.7, 7.5)
(10.2, 12.6)

Mathematics
2 answers:
-Dominant- [34]3 years ago
6 0

Answer:

The second choice (7.6,8.8)

Step-by-step explanation:

The missing image is attached

We use the section formula:

(x,y)=(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})

We substitute x_1=3,x_2=16,y_1=2,y_2=21 and m=5, n=9

(x,y)=(\frac{5*16+9*3}{5+9},\frac{5*21+5*2}{9+5})

We simplify to get:

(x,y)=(\frac{80+27}{14},\frac{105+10}{14})

This simplifies to:

(x,y)=(\frac{107}{14},\frac{125}{14})

In decimals we get:

(x,y)=(7.6,8.8)

ladessa [460]3 years ago
4 0

Answer:

(7,6, 8,8)

Step-by-step explanation:

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Answer: D) -5/6 < -3/5 < -4/7 < -4/9

Step-by-step explanation:

Since putting fractions from least to greatest by using negatives the number or fraction has to be closed to 0. -5/6 is the farthest from 0 so it'll be the least -4/9 is closes to 0 so -4/9 is the most.

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I have to determine the length please show me the steps
iogann1982 [59]

Answer:

c = 11.03 m

Step-by-step explanation:

In this given <em>right isoceles triangle</em>, one of the sides are labeled as 7.8 m. We'll label this side as "a."  

The length of side "a" is congruent to the other side. Therefore, the measurement of the other side is also 7.8 m.

We can use the Pythagorean Theorem to solve for the measurement of the hypotenuse, side "c."

According to the Pythagorean Theorem: c^{2} =  a^{2} + a^{2}.

We'll plug in the values for side "a" and side "b" into the formula:

c^{2} =  a^{2} + a^{2}

c^{2} =  2a^{2}

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c^{2} =  121.68 m^{2}

To calculate the value of "c," we must take the squared root of 2a^{2}:

\sqrt{c^{2}}  = \sqrt{121.68}

c = 11.03087 m or 11.03 m

By the way, the value of c = <em>a </em>\sqrt{2}

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Answer:

4th option

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