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daser333 [38]
2 years ago
5

If points (7,a), (-5,2) and (3,6) are collinear, find a.

Mathematics
1 answer:
uysha [10]2 years ago
7 0

Answer:

The value of a is 8

Step-by-step explanation:

If the three lines are collinear, they all lie on the same line

So let us have the equation of a line that passes through the known ends

the slope will be;

m = (6-2)/(3 + 5) = 4/8 = 1/2

The general form is;

y = mx + b

so, we have

y = 1/2x + b

To get b, we use any of the two known points

6 = 3/2 + b

b = 6-3/2

b = (12-3)/2 = 9/2

So the equation of the line is;

y = 1/2x + 9/2

Multiply through by 2

2y = x + 9

So for the point , to get a , we have that

2(a) = 7 + 9

2a = 16

a = 16/2

a = 8

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Step-by-step explanation:

Because there is a 3 outside the symbol.

That means the equation is stating: y * y * y = x

Hope this helps :)

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What is the range of this function?
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Step-by-step explanation:

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Help with #9 linked above! Please help!
jasenka [17]

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3 years ago
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5 0
3 years ago
Find the equivalent fraction to next expression 3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2 a 2b2 + 3.5a + 8.4 b b b2 +3.5a + 8.4b c 2b
Neporo4naja [7]

Answer:

b²+3.5a+8.4b

Step-by-step explanation:

Given the expression

3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2

Expand

3b^2 + 2a+10.8b -2.4b + 1.5a - 2b^2

Collect the like terms

= 3b²-2b²+2a+1.5a+10.8b-2.4b

= b²+3.5a+8.4b

Hence the equivalent expression is b²+3.5a+8.4b

7 0
3 years ago
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