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3 years ago

7

The formula F=95C+32 changes a temperature reading from the Celsius scale C to the Fahrenheit scale F. What is the temperature m

easured in degrees Fahrenheit when the Celsius temperature is 50°C?

1 answer:

Law Incorporation [45]3 years ago

8 0

Answer:

122°F

Step-by-step explanation:

F=(50×9/5)+32

= 122°F

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<u>Corrected Question</u>

Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym 2/3 the distance from Ping's home to Ari's home. Where is the gym?

9th Street and 10th Avenue
12th Street and 12th Avenue
14th Street and 12th Avenue

15th Street and 14th Avenue

Answer:

(D)15th Street and 14th Avenue

Step-by-step explanation:

Ping's Location: (3rd Street, 6th Avenue)

Ari's Location: (21st Street, 18th Avenue)

The gym is at point P which is $\dfrac{2}{3}$ the distance from Ping's home to Ari's home.

That is, Point P divides the line segment in the ratio 2:1.

We use the section formula:

$(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)$

m:n=2:1, $(x_1,y_1)=(3,6), (x_2,y_2)=(21,18)$

$=\left(\dfrac{2*21+1*2}{2+1}, \dfrac{2*18+1*6}{2+1}\right)\\=\left(\dfrac{45}{3}, \dfrac{42}{3}\right)\\=(15,14)$

The gym is located at 15th Street and 14th Avenue.

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