Y = ²/₃x + 7
y = ²/₃(5) + 7
y = 3¹/₃ + 7
y = 10¹/₃
(x, y) = (5, 10¹/₃)
2/3 of an hour= 40 minutes
3/4 of 40= 30 minutes
40- 30= 10
So, it took Bethany 10 more minutes to complete her science homework than her math homework.
Answer:
b
Step-by-step explanation:
Answer:
400
Step-by-step explanation:
first work out the radius of priya's circle with the equation a = 
we know the diameter of a circle is 2 times the radius so the diameter of priya's circle is 2x
this means that if the diameter of dan's circle is 4 times bigger it must be
8x
to find the radius of dan's circle we divide the diameter by to 2 to give
4x
then use the a= equation again
which equals 400
hope that helped
Answer:
- (x - 3y)(3x + y)
Step-by-step explanation:
Given
(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL
= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute
= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms
= - 3x² + 8xy + 3y² ← factor out - 1 from each term
= - 1(3x² - 8xy - 3y²) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.
product = 3 × - 3 = - 9 and sum = - 8
The factors are - 9 and + 1
Use these factors to split the xy- term
3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )
= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term
= (x - 3y)(3x + y)
Thus
(x + 2y)² - (2x - y)² = - (x - 3y)(3x + y)
