<h3>Given</h3>
Two positive integers x and y
x - y = 4
x² + y = 68
<h3>Find</h3>
x and y
<h3>Solution</h3>
Add the two equations together.
... (x - y) + (x² + y) = (4) + (68)
... x² + x = 72
Rearrange to standard form and factor.
... x² + x - 72 = 0
... (x + 9)(x - 8) = 0
Use the zero product rule to find the solutions. That rule says the product is zero when one or more factors is zero.
... x + 9 = 0 ⇒ x = -9
... x - 8 = 0 ⇒ x = 8 . . . . . . the positive solution
Then we can find y from
... 8 - y = 4
... y = 4 . . . . . . . add y-4 to the equation
The two positive integers are 8 and 4.
Answer:
Step-by-step explanation:
Like systems of equations, system of inequalities can have zero, one, or infinite solutions.
Answer:
See below.
Step-by-step explanation:
Recall that the x-intercept is basically: (x,0).
In other words, we just need to substitute y with 0 in order to find the x-intercept.
Thus, we will have:
The percentage of birds in the zoo will be 15%
Answer: None
Step-by-step explanation:
In the given picture , there are two triangles and their corresponding angles are equal.
So by AAA similarity criteria they are similar. But there is no other information is given to prove that they are congruent.
[∵ we know that congruent are similar but similar triangles may not be congruent.]
Therefore, there is no sufficient information to prove them congruent by using any given postulate.
Hence, the answer is "None".
