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PIT_PIT [208]
3 years ago
8

The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
7 0

Answer:

-3/2,collinear.

Step-by-step explanation:

slope of PQ=(0-3)/(2-0)=-3/2

eq. of line PQ is

y-3=-3/2(x-0)

y-3=-3/2 x

or2y-6=-3x

or 3x+2y=6

if R(4,-3) lies on it,then

3(4)+2(-3)=6

12-6=6

or 6=6

which is true.

Hence points P,Q,R are collinear.

and line has aslope=-3/2

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Which expression is a linear factor of x6 +x-66?
Naddik [55]

Answer:

Option D.

Step-by-step explanation:

The given expression is

x^6+x-66

It is a polynomial.

(x-c) is a linear factor of polynomial p(x) if p(c)=0.

Substitute x=-1 in the given expression.

(1)^6+(1)-66=-64\neq 0

It means (x+1) is not a linear factor of given expression.

Substitute x=-2 in the given expression.

(-2)^6+(-2)-66=-4\neq 0

It means (x+2) is not a linear factor of given expression.

Substitute x=-4 in the given expression.

(-4)^6+(-4)-66=4026\neq 0

It means (x+4) is not a linear factor of given expression.

None of the given options are a linear factor of given expression.

Therefore, the correct option is D.

7 0
3 years ago
Read 2 more answers
Grayson's car used 2 gallons to travel 30 miles. How far can he travel on 3 gallons?​
Darina [25.2K]

Answer:

45

Step-by-step explanation:

You do 30 divided by 2 = 15. then you do 15+30=45, and boom, there is your answer

4 0
3 years ago
Write the equation of the line whose slope and the point through which it passes are
sveticcg [70]

Answer:

y+4=6(x+7)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=6(x-(-7))

y+4=6(x+7)

4 0
2 years ago
3) ml - 6x — 7 and 22 - 4x + 7.<br> Find x.
Setler [38]
X = 7 for the question in the picture
4 0
3 years ago
Simplify: -6-3(5y+4)
Reil [10]
-6 - 3(5y + 4)
= - 6 - 15y -12
= -15y - 18

Hope it helped!
3 0
3 years ago
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