Answer:
y = x² - 4x - 21
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 25), thus
y = a(x - 2)² - 25
To find a substitute (7, 0) into the equation
0 = a(7 - 2)² - 25 = a(5)² - 25 = 25a - 25 ( add 25 from both sides )
25a = 25 ( divide both sides by 25
a = 1, thus
y = (x - 2)² - 25 ← in vertex form
Expand and simplify
y = x² - 4x + 4 - 25
y = x² - 4x - 21 ← in standard form
Answer:
5 + (-3/2√2) = irrational number
5 - (-3/2√2) = irrational number since we have √2
Step by step explanation
Here the given two numbers are 5 and -3/√8.
Here we can rewrite √8 = √2√4
Which is 2√2.
So √8 = 2√2, where √2 is an irrational number.
-3/√8 = -3 / 2√2 = =3/ 2√2 is an irrational number.
When you add, subtract, multiply and divide a whole number (5) with an irrational number (-3/2√2) is always an irrational number.
Therefore, when you do the operations with 5 and -2/2√2 always result in irrational number.
Hope you will understand the concept.
Thank you.
Answer: (4,6)
Explanation:
x - 3y = -14
x - y = -2
Multiply a -1 to the first equation so the x’s can cancel out.
-x + 3y = 14
x - y = -2
Subtract the two equations together.
2y = 12
y=6
Now, plug in y to one of the original equations.
x - (6) = -2
x=4
Therefore, the answer is: (4,6)
Recall that
We know to take the positive root here because 
, which means 
as well. Then
We then have
