Answer:
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Step-by-step explanation:
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Answer: x = ± i , x = ±√2i are solution .
Step-by-step explanation:
Given : , use u substitution to solve.
To find : what are the solutions of the equation .
Solution : We have given that .
Let consider = u .
Substitute u = in given equation .
.
On factoring
.
Taking common
u( u+2) +1 (u+2) = 0.
On grouping
(u+1) (u+2) =0
Now, u+1 = 0 ⇒ u = -1.
u+2 = 0 ⇒ u = -2.
In term of x, plugging = u.
= -1 ; = -2.
taking square root both side
x = ± i
x = ±√2i.
Therefore, x = ± i , x = ±√2i are solution .
Answer:
centre of dilation = origin (0,0)
scale factor = 3
Step-by-step explanation:
<em>In order to figure out the scale factor you just have to realise when you do a dilation, the distance between corresponding points will change according to the scale factor.</em>
By looking at the triangle B in the graph the height is 3 units
similarly corresponding height of triangleA is 1 unit
For an dilation = large number ÷ small number
So our scale factor right over here is 3.
In order to identify centre of dilation draw a straight line from end point of height of small and large triangle and make a triangle out of this.
That straight line will be hypotenuse of the triangle and it will be exactly as large as the triangle B.
Answer:
see explanation
Step-by-step explanation:
1
4x = 3x + 5 ( subtract 3x from both sides )
x = 5
2
7m = 8 + 5m ( subtract 5m from both sides )
2m = 8 ( divide both sides by 2 )
m = 4
3
2a = 9 - a ( add a to both sides )
3a = 9 ( divide both sides by 3 )
a = 3
4
d = 3 ( multiply both sides by 4 to clear the fraction )
d = 3 × 4 = 12
5
5y + 6 = 21 ( subtract 6 from both sides )
5y = 15 ( divide both sides by 5 )
y = 3
6
2n - 3 = 6 ( add 3 to both sides )
2n = 9 ( divide both sides by 2 )
n = 4.5