We have the equation
Let's complete the square, to do it let's add and subtract 25 on the right side
Now we can have y in function of x
Now we can already identify the vertex because it's in the vertex form:
Where the vertex is
As we can see, h = 5 and k = -2, then the vertex is
Now we can continue and find the focus, the focus is
We have a = 1/20, therefore
The focus is
And the last one, the directrix, it's
Then
Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7
The expression y = y + 8 does neither represent an odd number nor an even number.
<h3>Does represent a given equation an even or odd number or neither?</h3>
In this problem we must check if a given algebraic equation represents an even number or an odd number or neither by using algebraic means. Even numbers are integers, whose last digit is 0, 2, 4, 6 or 8, whereas odd numbers are integers, whose last digit is 1, 3, 5, 7 or 9. Now we proceed to check the expression:
y = y + 8 Given
y + (- y) = 8 Compatibility with addition / Existence of additive inverse / Modulative property
0 = 8 Existence of additive inverse / Modulative property / Result
The expression y = y + 8 does neither represent an odd number nor an even number.
To learn more on even numbers: brainly.com/question/2289438
#SPJ1
Answer: x = -6 and y = -9
Explanation:
18* is 18 above 0. -12* is 12 below 0.
So add: 18+12=X. The difference in temperature is X :)
Answer: he collected 22 quarters and 8 fifty-cent pieces
Step-by-step explanation:
Given;
The total amount of money he is to collect is;
A = 20 - 10.50 = $9.50
Let x represent the number of quarter he collected.
Then the number of fifty-cent pieces he collected will be; 30-x
Therefore we can represent it with the equation below;
0.25x + 0.50(30-x) = 9.50
0.25x + 15 - 0.50x = 9.50
0.25x = 15-9.50
x = (15-9.50)/0.25
x = 5.50/0.25
x = 22
The number of fifty-cent is equal to;
30-x = 30-22 = 8
Therefore, he collected 22 quarters and 8 fifty-cent pieces
