x = 6
Step-by-step explanation:
It's based on similarity of triangles
DEF ~ △XYZ
The sides should be taken in order, like the triangles start with DE and XY so, we'll proportionate DE and XY and then the next two sides and so on.
I'm using 
to get the value of x.
[You can use any two fractions out of the three given above. ]
Hence, the value of x is 6.
K² + 13k + 30 = 0
This is a quadratic equation. Let's attempt solving it by factorization.
Coefficient of k² = 1, last term = 30
Multiply these two together 1*30 = 30
We think of two numbers that multiply to give 30 and add to give the middle term 13.
The two numbers are 3 and 10.
3*10 = 30, 3 + 10 = 13.
we replace the 13k with 3k + 10k
k² + 13k + 30 = 0
k² + 3k + 10k + 30 = 0
k(k + 3) + 10(k + 3) = 0
(k + 3)(k + 10) = 0
(k + 3) = 0 or (k + 10) = 0
k = 0 - 3 or k = 0 - 10
k = -3, or -10
I hope this helps.
Answer: The reason they do this is water refraction. I don't know if this was a question or not, but here you go.
Answer:
2 was not multiplied by 5
Step-by-step explanation:
2(x + 5) = 2x + 5
The correct expansion form distributive property should be :
2(x + 5) = 2*x + 2*5 = 2x + 10
2(x + 5) = 2x + 10
