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Usimov [2.4K]
3 years ago
12

Which of the following is the equation of a line parallel to the line y=-x+1,

Mathematics
1 answer:
stich3 [128]3 years ago
7 0
X+y=5 would be the correct one
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The Y-intercept is -2.
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One term of (x+y)^m is 31,824x^18y^11<br> What is the value of m ?
alisha [4.7K]

Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of (x+y)^m is 31,824x^{18}y^{11}  ...(i)

We know that that (r+1)th term in (a+b)^n is given by :-

T_{r+1}=^nC_ra^{n-r}b^r  ...(ii)

On comparing (i) with (ii) , we get

a= x \text{ and } b= y \\n-r =18 \text{ and }  r=11\\n=m

i.e.

m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29

Hence, the value of m is 29.

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3 years ago
An object with a starting velocity of 15 m/s accelerates at 3 m/s2. How far does the object travel within 10 seconds?
Anna007 [38]

Answer:  300 m

<u>Step-by-step explanation:</u>

distance(s)=v_it+\dfrac{1}{2}at^2 \quad \text{where}\ v_i \text{is initial velocity, a is acceleration, t is time}

s=(15)(10)+\dfrac{1}{2}(3)(10)^2

  = 150 + 150

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