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3 years ago

Plez halp with question bc im smol brain

Mathematics

1 answer:

Studentka2010 [4]3 years ago

6 0

Answer:

B. y= 2x–15

Step-by-step explanation:

The equation that represents the line that passes through the points (8, 1) and (10,5) is y= 2x–15

"x" is found on the left hand side of the bracket and "y" is found on the right hand side of the bracket :)

(8, 1) and (10, 5)

x in the first bracket is 8 and x in the second bracket is 10.

y in the first bracket is 1 and y in the second bracket is 5.

When this equation is applied to find the value for y we get:

y= 2x-15

y= 2(8)-15

y= 16-15

y= 1

y= 2x-15

y= 2(10)-15

y= 20-15

y= 5

We got back the values of y and this means that the equation was correctly chosen and the answer is correct :)

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3 years ago

A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed

musickatia [10]

Try this solution:

Answer: 6 & 4.5 (m-per-h)

Step-by-step explanation:

- The basic formula used in this task is S=V*t, where S - distance, V - speed, t - time.

- the downstream speed is: V+Vc, where V - the speed of the boat in still water, Vc - the speed of the current.

- the upstream speed is: V-Vc.

- according to the described above the distance for downstream is S1=(V+Vc)*t1, where t1=10; the distance for upstream is S2=(V-Vc)*t2, where t2=70.

- for whole travel down- and upstream: S=S1+S2.

- Using these it is possible to make up the system of the equations:

$\left \{ {{(70(V-V_c)=10(V+V_c)} \atop {70(V-V_c)+10(V+V_c)=210}} \right.$

V - the speed of the boat in still water - 6 miles per hour, Vc - the speed of the current - 4.5 miles per hour. All the details for the system of the equations are in the attachment.

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3 years ago