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Romashka-Z-Leto
25 days ago
12

On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (

4, 8) and Lei is at (12, 20).
Tia lives at the corner of 4th Street and 8th Avenue. Lei lives at the corner of 12th Street and 20th Avenue. The fruit market is Three-fourths the distance from Tia’s home to Lei's home.

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

Where is the fruit market?

6th Street and 11th Avenue
10th Street and 17th Avenue
9th Street and 15th Avenue
8th Street and 14th Avenue

Mathematics
2 answers:
AnnZ [12.3K]25 days ago
9 0

Answer:

B. Located at the intersection of 10th Street and 17th Avenue.

Step-by-step explanation:

The point (x,y) that divides segment AB with endpoints at A(x_1,y_1) and B(x_2,y_2) in the specified ratio m:n has coordinates

x=\dfrac{nx_1+nx_2}{m+n}\\ \\y=\dfrac{ny_1+ny_2}{m+n}

In this scenario,

T(4,8)

L(12,20)

The fruit market (F) is located three-fourths of the way from Tia’s residence to Lei's residence, hence TM:TL=3:4 or TM:ML=3:1

Therefore,

x=\dfrac{1\cdot 4+3\cdot 12}{3+1}=\dfrac{4+36}{4}=\dfrac{40}{4}=10\\ \\y=\dfrac{1\cdot 8+3\cdot 20}{3+1}=\dfrac{8+60}{4}=\dfrac{68}{4}=17

Thus, the fruit market lies at the location F(10,17) meaning it’s situated at the intersection of 10th Street and 17th Avenue.

AnnZ [12.3K]25 days ago
6 0

Answer:

B

Step-by-step explanation:

I completed the test on E2020.

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