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4 years ago

the velocity of a car changes from 20 m/s east to 5 m/s east in 5 seconds what's the acceleration of the car

1 answer:

muminat4 years ago

7 0

To solve this remember a=change in v/t, assuming the direction for the velocity, is + positive east. You can calculate it simply by this. A=v/t= A=5-20/5= A=-15/5= A=-3m/s squared. Change in velocity= vf-vi.

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Write an equation in slope-intercept form for the line that is parallel to y=−4x−3 and that passes through the point (−2,4).

kirill115 [55]

Answer:

The Correct option is Last one $y=-4x-4$

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line $y=-4x-3$ is $y=-4x-4$

Step-by-step explanation:

Given:

$y=-4x-3$

To Find:

Equation of line passing through ( -2, 4) and is parallel to the line y=-4x-3

Solution:

$y=-4x-3$ ..........Given

Comparing with Slope-Intercept form,

$y=mx+c$

Where m =slope

We get

$Slope = m = -4$

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (-2 , 4) will also have the slope = m = -4.

Now the equation of line in slope point form given by

$(y-y_{1})=m(x-x_{1})$

Substituting the points and so we will get the required equation of the line,

$(y-4))=-4(x-(-2))=-4x-8\\\\y=-4x-8+4=-4x-4\\\\y=-4x-4......Equation\ of\ line$

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line $y=-4x-3$ is $y=-4x-4$

8 0

3 years ago

I need help in these questions please !

timama [110]

Answer:

b,b.a

Step-by-step explanation:

6 0

3 years ago

What is the sum of the first thirteen terms in a geometric series with a<br> r = 3 a1= -10

Ipatiy [6.2K]

To calculate the sum of the first thirteen terms of the geometric series, we use the formula below.

Formula:

S₁₃ = a(rⁿ-1)/(r-1).............. Equation 1

Where:

S₁₃ = Sum of the first thirteen terms of the geometric series.
a = First term of the series
r = Common ratio

Given:

a = -10
r = 3
n = 13

Substitute these values into equation 1

S₁₃ = -10(3¹³-1)/(3-1)
S₁₃ = -7971615

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2 years ago

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Free_Kalibri [48]

It is systematic because they are going every tenth person, in a random manner.

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3 years ago

Why is a bond with a higher interest rate often considered a higher risk investment?

aev [14]

Answer:

Some companies promise higher interest rates in order to attract the attention of investors.

Step-by-step explanation:

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3 years ago

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