The particle will reach 50 km/hr when x = 32.25 hours
Step-by-step explanation:
A physicist working in a large laboratory has found that light particles
traveling in a particle accelerator increase velocity in a manner that
can be described by the linear function - 4 x + 3 y = 21, where
- x is the time in hours
- y is the velocity in kilometer per hour
We need to find when a certain particle will reach 50 km/h
∵ - 4 x + 3 y = 21 is a linear function
∵ x represents the time (number of hours)
∵ y represents the velocity in km/h
∵ The velocity of a particle will reach 50 km/h
- Substitute y by 50 in the function above
∴ - 4 x + 3(50) = 21
∴ - 4 x + 150 = 21
- Subtract 150 from both sides
∴ - 4 x = -129
- Divide both sides by -4
∴ x = 32.25 hours
The particle will reach 50 km/hr when x = 32.25 hours
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We can sum two fractions if they have the same denominator, so we have to rewrite both fractions so that they'll have the same denominator.
We can generate equivalent fractions by multiplying both numerator and denominator by the same number.
So, we have

Similarly, we have

Now we can sum the fractions:

Positive
Step-by-step explanation:
Use the slope formula:
m=(y2-y1)/(x2-x1)
m=(-1-2)/(1-2)
m=(-3)/(-1)
m=3
Answer:65
Step-by-step explanation:
Hi
It’s 65 bc 35+80= 115. And triangles are 180° so 115-180= 65.
Hope it helped
Yes! Every parallelogram is a quadrilateral.
<u>Explanation</u>
Every parallelogram is a quadrilateral. But vice versa is not true ie every quadrilateral is not a parallelogram. Quadrilateral is a 4 sided polygon & parallelogram is also a 4 sided polygon but with some extra characteristics. That is the reason , every parallelogram is a quadrilateral. But if quadrilateral gets all those extra characteristics , then only it becomes a parallelogram.