Answer:
Option C is correct, i.e. 16x² + 24xy + 9y² = (4x + 3y)²
Step-by-step explanation:
Perfect square trinomial is an algebraic expression of three terms which can be combined into a squared binomial like (a+b)^2 = a^2 + 2ab + b^2.
From the given options, we can eliminate first two options because they have only two terms (they are not trinomials).
Checking 3rd option:- 16x² + 24xy + 9y²
16x² + 24xy + 9y² = (4x)² + 2(4x)(3y) + (3y)²
16x² + 24xy + 9y² = (4x + 3y)²
Checking 4th option:- 49x² - 70xy + 10y²
49x² - 70xy + 10y² = (7x)² - 2(7x)(5y) + 10y²
Hence, option C is correct, i.e. 16x² + 24xy + 9y² = (4x + 3y)²
You will need 8 drops of blue coloring to mix icing with 4 drops of yellow coloring.
In order to make the icing, you <u>used 2 drops of yellow coloring</u> for every<u> 4 drops of blue coloring. </u>
You need to first find the unit rate of blue coloring to yellow coloring.
<em>= blue coloring required / yellow coloring </em>
= 4 / 2
= 2
This means that for every drop of yellow coloring used, 2 drops of blue is used.
If you are to <u>use 4 drops of yellow</u>, the number of blue drops to use is:
<em>= Number of yellow drops x unit rate</em>
= 4 x 2
= 8 drops of blue coloring
In conclusion, you will need 8 drops of blue coloring for 4 drops of yellow coloring.
<em>Find out more at brainly.com/question/17041316.</em>
Answer:
I think all of these are optional answers
Step-by-step explanation:
Answer:
We can now prove Euler's formula (v − e + f = 2) works in general, for any connected simple planar graph. Proof: by induction on the number of edges in the graph. Base: If e = 0, the graph consists of a single vertex with a single region surrounding it. So we have 1 − 0 + 1 = 2 which is clearly right.