Answer with Step-by-step explanation:
Since we have given that
a + b = c
and a|c
i.e. a divides c.
We need to prove that a|b.
⇒ a = mb for some integer m
Since a|c,
So, mathematically, it is expressed as
c= ka
Now, we put the above value in a + b = c.
So, it becomes,

a=mb, here, m = k-1
Hence, proved.
So if you have two triangles and you can transform one of them into the other ,the two triangles are congruent
Answer:
10x-15y
Step-by-step explanation:
So, when they say use the distrubutive property, they basically mean turning this:
a(b+c)
Into this:
ab+ac
So in this case, it would be:
5(2x-3y)
And we will turn it into:
10x-15y
ANother way to think about it is we are multiplying 2x by 5, and -3y by 5. So:
2x*5
=
10x
And
-3y*5
=
-15y
Then we can combine these two:
10x-15y
Hope this helps!
0 = f(x) = (x - r)(x - s) = x² - (r+s) + rs
We have r=1.5+√2, s=1.5 -√2 so r+s = 3 and
rs = (1.5+√2)(1.5 - √2) = 1.5² - (√2)² = 2.25 - 2 = 0.25
f(x) = x² - 3x + -.25
For integer coefficients we mulitply by 4,
g(x) = 4f(x) = 4x² - 12x - 1
Answer: 4x² - 12x - 1 = 0
Answer:
(8,3)
Step-by-step explanation:
Point c is seven units away from the line x = 1
So we move seven units to the right of the line x = 1
the x value = 8
y value = 3
Coordinates = (8,3)
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-Chetan K