For this case we have the following expression:
We follow the steps below:
We subtract 4x on both sides of the equation:
We subtract 10 from both sides of the equation:
Now, we must complete squares.
When we have an equation of the form:
, if we want to complete squares we must subtract c on both sides of the equation obtaining:
The square is completed by adding to both sides of the equation: 
So, we have left:
In the given expression we have:
And to complete the square we have:
Rewriting we have:
We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:
So, we have:
Answer:
The intermediate step is to complete squares
Answer:
D. 160
Step-by-step explanation:
This question can be solved by proportions, using a rule of three.
In this question:
For each 3 white carnations, 5 yellows are needed, which leaves us with 8 total carnations. So for 60 white, the total is:
3 white - 8 total
60 white - x total
So
Dividing both sides by 3
The correct answer is given by option D.
A square has the same length on all of it's sides. The area of a square is side times side. So it's 2.2×2.2=?
Answer:
The value of SecФ is 
.
Step-by-step explanation:
Given as for trigonometric function :
tan²Ф = 
Or, tanФ = 
∵ tanФ = 
So, =
So, Hypotenuse² = perpendicular² + base²
or, Hypotenuse² = ( 
)² + ( 
)²
Or, Hypotenuse² = 3 + 8 = 11
Or, Hypotenuse = ( 
)
Now SecФ = 
or, SecФ = 
= 
<u>Second Method</u>
Sec²Ф - tan²Ф = 1
Or, Sec²Ф = 1 + tan²Ф
or, Sec²Ф = 1 +
Or, Sec²Ф = 
Or, SecФ =
Hence The value of SecФ is . Answer
I'm not real sure if this is right but I did my best
