Answer:
The answer is 3x-27
Step-by-step explanation:
If the angles are vertical from each other it means they are congruent. 2x+30 is 63, you plug in the x, 2(30)+30. You do that to the second one and also get 63, 3(30)-27. Therefore 3x-21 is the answer.
Answer:

Step-by-step explanation:
We have been given an expression
. We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
We know that a perfect square trinomial is in form
.
To convert our given expression into perfect square trinomial, we need to add and subtract
from our given expression.
We can see that value of b is 11, so we need to add and subtract
to our expression as:

Upon comparing our expression with
, we can see that
,
and
.
Upon simplifying our expression, we will get:


Therefore, our perfect square would be
.
Answer:
y = 2x^2 − 4x + 5
y = 2(x^2 − 2x) + 5
y = 2(x^2 − 2x + 1 - 1) + 5
y = 2(x^2 − 2x + 1) + 5 - 2
y = 2(x - 1)^2 + 3
x = 1 is the axis of symmetry.
Do you agree?
Answer:
The number of eggs in the basket is 56
Step-by-step explanation:
Given as :
Let The number of eggs in the basket = 3x + 5x
When Loza counts 3's , there are 2 eggs left over
I.e , 3 ( x - 2 )
And When Loza counts 5's , there are 4 eggs left over
I.e 5 ( x - 4 )
∴ 3 x - 6 = 5 x - 20
Or, 20 - 6 = 5 x - 3 x
Or, 14 = 2 x
∴ x = 7
So, the number of eggs = 3 × 7 + 5 × 7
= 21 + 35 = 56
Hence The number of eggs in the basket is 56 Answer
I know this but I can't remember how to do the process.