That would be written as (m+n^2)(m-n^2)
Answer/Step-by-step explanation:
This is a proportional relationship between amount of strawberries and the amount of bananas needed in making smoothie.
Thus, a constant of proportionality, k, is a ratio that exist between both quantities.
k = y/x = amount of strawberry/amount of bananas.
Since we are given that a recipe of smoothie contains 5 cups of strawberries for every 2 cups of bananas, therefore,
k = ⁵/2 = 2.5.
Any point that will be on the line shown must have the same value of k (y/x).
Thus, given the point (1, 2.5). The ratio between y and x is:
k = 2.5/1 = 2.5.
Since this also shows the same constant of proportionality as 2.5, therefore, the point is also on the line.
Answer:
a = 8 m
Step-by-step explanation:
Since, given is an isosceles right triangle.
So, by Pythagoras theorem:
Answer:
x^2 + -2 sqrt(7) x + 7
Step-by-step explanation:
Expand the following:
(x - sqrt(7))^2
(x - sqrt(7)) (x - sqrt(7)) = (x) (x) + (x) (-sqrt(7)) + (-sqrt(7)) (x) + (-sqrt(7)) (-sqrt(7)):
x x - sqrt(7) x - sqrt(7) x - (-sqrt(7) sqrt(7))
(-1)^2 = 1:
x x - sqrt(7) x - sqrt(7) x + (sqrt(7))^2
x x = x^2:
x^2 - sqrt(7) x - sqrt(7) x + sqrt(7)^2
Cancel exponents. (sqrt(7))^2 = 7:
x^2 - sqrt(7) x - sqrt(7) x + 7
Combining like terms, sqrt(7) x (-1) + sqrt(7) x (-1) = -2 sqrt(7) x:
Answer: x^2 + -2 sqrt(7) x + 7
Answer:
- 2x + y = - 1 , so the B is correct.
Step-by-step explanation:
+ Because of "the line passing through the pair of points (2,3) and (5,9)", that means the line has the equation y = ax + b where a = (9-3)/(5-2)= 6/3= 2
+ So the equation is y = 2x + b.
+ Then we replace x= 2 and y= 3 into y = 2x + b for finding like:
3 = 2*2 + b or 3 = 4 + b, so we find b = 3 - 4 = - 1.
+ The equation of this line is y = 2x - 1 or in the form:
2x - y - 1 = 0 (or -2x + y = -1)
Have a good day!
