Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
Hope this helps you
2004436the answer is2004436
Lets x is the 1st consecutive even integers
x +2 :the 2nd consecutive even integers
x +4: the 3rd consecutive even integers
So sum of all 3 equals -78 then
x + (x+2) + (x+4) = -78
x + x + 2 + x + 4 = -78
Simplify
3x + 6 = -78
Subtract (-6) to both sides
3x +6 -6 = -78 - 6
Simplify
3x = -84
Divided both sides by 3
3x/3 = -84/3
x = -28
x + 2 = -28 + 2 = -26
x +4 = - 28 + 4 = -24
Double check: -28 + -26 + -24 = -78
So the three consecutive even integers are: -24, -26, -28
The smallest integer would be -28
6 consecutive even numbers
First x
Second x+2
Third x+4
Fourth x+6
Fifth x+8
Sixth x+10
126=x+x+2+x+4+x+6+x+8+x+10
126=6x+30
Subtract 30 from both sides
96=6x
Divide both sides by 6
x=16
Fourth x+6=16+6=22
<u>Answer</u>
2
<u>Explanation</u>
The two lines in the diagram are secants meeting outside the circle.
The products of a secant and the extension of the chord of one line is equal to the products of a secant and the extension of the chord of the other line.
∴ 3(3+5) = 4(4+x)
3 × 8 = (4×4)+(4×x)
24 = 16 + 4x
4x = 24 - 16
4x = 8
x = 8/4
= 2