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frosja888 [35]
2 years ago
8

Indicate the equation of the given line in standard form, in the equation box below.

Mathematics
1 answer:
Illusion [34]2 years ago
6 0

Perpendicular lines have slopes that are negative reciprocals of each other, so the equation of the line in point-slope form is:

y-4=-\frac{5}{2}(x+3)

Rewriting this in standard form,

2y-8=-5(x+3) \\ \\ 2y-8=-5x-15 \\ \\ \boxed{5x+2y=-7}

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12. Yes, because the diagonals of a parallelogram bisect each other.
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2(3x + 2) = 2x - 1+x.
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Answer:

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Step-by-step explanation:

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Help is needed please!
Schach [20]

The distance travelled is 10 m

The velocity gained at the end of the time is 2 m/s

<h3>Motion</h3>

From the question, we are to determine distance travelled and the velocity gained

From one of the equations of motion for <u>linear motion</u>, we have that

S = ut + 1/2at²

Where S is the distance

u is the initial velocity

t is the time taken

and a is the acceleration

First, we will calculate the acceleration

Using the formula,

F = ma

Where F is the force

m is the mass

and a is the acceleration

∴ a = F/m

Where F is the force

and a is the acceleration

From the given information,

F = 50 N

m = 250 kg

Putting the parameters into the equation,

a =  50/250

a = 0.2 m/s²

Thus,

From the information,

u = 0 m/s (Since the object was initially at rest)

t = 10 s

S = 0(t) + 1/2(0.2)(10)²

S = 10 m

Hence, the distance travelled is 10 m

For the velocity

Using the formula,

v = u + at

Where v is the velocity

v = 0 + 0.2×10

v = 2 m/s

Hence, the velocity gained at the end of the time is 2 m/s

Learn more on Motion here: brainly.com/question/10962624

#SPJ1

7 0
2 years ago
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