Answer:
Step-by-step explanation:
Recall that an expression that can be factored as (U+V)(U-V) using distributive property for multiplication of binomials, should render: 
(the factorization given above is that of a difference of squares. Then, the idea is to write the original expression :
as a difference of perfect squares. Let's examine each term and its numerical and variable form to find if they can be written as perfect squares:
a) the term 
therefore, if we assign the letter U to 
, the first term becomes:
b) the term 
therefore, if we assign the letter V to 
, this second term becomes:
With the above identification, our expression can now be factored as a difference of squares:
Answer:
the amount of water she drinks is x, the mileage is y:
<u> x y </u>
2 miles 5 oz
4 miles 10 oz
6 miles 15 oz
the ratios would be 4/10 and 6/15
Step-by-step explanation:
for every 2 miles Holly runs, she drinks 5 oz of water, right? the ratio is 5:2, so if you were to come up with other numbers that match the ratio, they have to be divisible by the parts of the ratio. so if she runs 2 miles, she drinks 5 oz. if she runs 4 miles, then she drinks 10 oz.
think of a ratio like a fraction (in this case it would be 2/5). if you were to make equivalent ratios, then the two fractions would have to be equal, right? well, when you simplify all of the numbers listed in the table above after making them into fractions, they would all go back to 2/5, so the numbers i came up with above are equivalent ratios, meaning they have the same value when simplified.
hopefully that helps and isn't too confusing! if you need other help, let me know! :)
3/6 of a minute. 1/2 when it’s simplified.
Answer:
72+35=107cm^2
Step-by-step explanation:
(8*9)+(5*7)=107
Answer:
Angle A= 77.14°
Angle B= 102.86°
Step-by-step explanation:
Supplementary angles are angles that add up to 180°, as stated in the question.
This means that Angle A + Angle B= 180°
The measure of Angle A to Angle B is 3:4
3:4 --------> 3+4 = 7 total parts
Hence, angle A will be 3/7 of the total angle (180°)
angle B will be 4/7 of the total angle (180°)
That is, angle A = 3/7 × 180° = 77.1428°
angle B= 4/7 × 180° = 102.857°
Approximately, angle A = 77.14° while angle B= 102.86°
