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Alex73 [517]
3 years ago
13

What is the slope of the line represented by the equation y= 4/5x - 3

Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0

Answer:

slope is 4/5x

Step-by-step explanation:

its beside the x

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A force of 8 N makes an angle of π/4 radian with the y-axis, pointing to the right. The force acts against the movement of an ob
Grace [21]

Answer:

a) F= 4\sqrt{2} i + 4\sqrt{2} j

b) Θ=11.3

c) The work done is 20\sqrt{2}

Step-by-step explanation:

a) ||F||=8, α=π/4

Fx=||F||·sin(π/4)=8·\frac{\sqrt{2}}{2}

Fy=||F||·cos(π/4)=8·\frac{\sqrt{2}}{2}

F=Fx i + Fy j = 4\sqrt{2} i + 4\sqrt{2} j

b) We can find the value of Θ using the equation:

cos(Θ)=\frac{F.D}{||F||||D||}

where:

D= 3 i + 2 j

F=4\sqrt{2} i + 4\sqrt{2} j

The dot product is defined as the sum of the products of the components of each vector as:

F · D= (4\sqrt{2})*3+(4\sqrt{2})*2=20\sqrt{2}

||F||= 8

||D||= \sqrt{3^2+2^2} =\sqrt{13}

Hence:

Θ=arccos(\frac{20\sqrt{2} }{8\sqrt{13} })

Θ=arccos(0.981)

Θ= 11.3°

c) Work is equal to:

F · D= (4\sqrt{2})*3+(4\sqrt{2})*2=20\sqrt{2}=28.3

Other way of obtainig the work is:

||F||||D||cos(Θ)

where:

||F||= 8

||D||= \sqrt{3^2+2^2} =\sqrt{13}

Θ=11.3°

So,  ||F||||D||cos(Θ)=8×\sqrt{13}×cos(11.3°)=28.3

3 0
3 years ago
A random survey asked two groups of 100 women whether they wear shorts long pants or a dress most often the results are shown in
rodikova [14]

Answer:

I chose Pants, hope this helps and sorry if it didn’t

6 0
2 years ago
sorry if the pic is blurry if u can't tell what it says in the middle (where the line is) it says 4in and all the other number s
lidiya [134]

Answer:

12

Step-by-step explanation:

A= (h)(b)/2 = 4×6/2=12

I got the six for the base and 4 for the height. You multiply 4×6 which is 24 and divide by 2 which is 12

8 0
3 years ago
1.<br> Two integers that add to give -7.
taurus [48]

Answer:

-4 and -3

Step-by-step explanation:

-4+-3=-7

8 0
3 years ago
Read 2 more answers
In 2010 Singapore welcome 11600000 overseas visitors.This value has been rounded off to the nearest 100000.What are the largest
spayn [35]

Answer:

The largest possible number of overseas visitors would be 11,640,000.

The smallest possible number of overseas visitors would be 11,550,000.

Step-by-step explanation:

The number 11,600,000 was rounded off to the nearest 100,000.

This means that either 0 or 1 was added to the figure with place value of 100,000.

It would be zero (0) in the case where the number after the 100,000th placed value number is lower than 5 and it would be one (1) in the case where the number after the 100,000th placed value is greater than or equal to 5.

Therefore, the largest possible number of overseas visitors would be 11,640,000.

The smallest possible number of overseas visitors would be 11,550,000.

7 0
3 years ago
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