What is the graph of the equation y = -1/4 x + 2

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

8 0

Answer:

Y=(-1/4)(x)+2

y= -1/4x+2

Step-by-step explanation: Hope this helo

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Two cars leave Phoenix and travel along roads 90 degrees apart. If Car 1 leaves 30 minutes earlier than Car 2 and averages 42 mp

romanna [79]

Answer:

C. 210 miles

Step-by-step explanation:

We have been given that two cars leave Phoenix and travel along roads 90 degrees apart. Car 1 leaves 30 minutes earlier than Car 2 and averages 42 mph.

We will use distance formula and Pythagoras theorem to solve our given problem.

$\text{Distance}=\text{Speed}\times \text{Time}$

$\text{Distance covered by Car 1 in 3.5 hours}=\frac{42\text{ Miles}}{\text{Hour}}\times \text{3.5 hour}$

$\text{Distance covered by Car 1 in 3.5 hours}=147\text{ Miles}$ .

Since car 1 leaves 30 minutes before car 2, so car 2 will travel for only 3 hours when car 1 will travel for 3.5 hours.

$\text{Distance covered by Car 2 in 3 hours}=\frac{50\text{ Miles}}{\text{Hour}}\times \text{3 hour}$

$\text{Distance covered by Car 2 in 3 hours}=150\text{ Miles}$

Since both car travel along roads 90 degree apart, therefore, the distance between both cars after Car 1 has traveled 3.5 hours would be hypotenuse with legs 147 and 150.

$\text{Distance between both cars}=\sqrt{147^2+150^2}$

$\text{Distance between both cars}=\sqrt{21609+22500}$

$\text{Distance between both cars}=\sqrt{44109}$

$\text{Distance between both cars}=210.021427\approx 210$

Therefore, the both cars will be 210 miles apart and option C is the correct choice.

3 0

3 years ago

Guys I need your HELP ASAPP!!!!!

Genrish500 [490]

Answer:

HOPE THAT WAS TRUE

Step-by-step explanation:

$- 3 + \sqrt{m + 59} = m \\ \sqrt{m + 59} = m + 3 \\ {(m + 59)}^{ \frac{1}{2} } = m + 3 \\ \frac{1}{2} log(m + 59) = log(m + 3) \\ 0.5 log(m) + 0.5 log(59) = log(m)+log(3) \\ 0.5 log(m) = 0.5 log(59) - log(3) \\$