Answer:
It was 14 degrees warmer
Step-by-step explanation:
I can’t read it properly on the image try take a clearer photo I’m sorry
Given:
The equation is:
To find:
The number that should be added to sides of the equation to complete the square.
Solution:
If an expression is in the form of , then we have to add to make it perfect square.
We have,
...(i)
To make it perfect square we need to add square of half of coefficient of x on both sides.
Coefficient of x is -10, so square of half of coefficient of x is:
On adding 25 on both sides of (i), we get
Therefore, we need to add 25 to both sides of the equation to complete the square.
Answer: 1. y = 2(x + 4)² - 3
<u>Step-by-step explanation:</u>
Notes: The vertex form of a parabola is y = a(x - h)² + k
- (h, k) is the vertex
- p is the distance from the vertex to the focus
1)
Now input a = 2 and (h, k) = (-4, -3) into the equation y = a(x - h)² + k
y = 2(x + 4)² - 3
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2)
Now input a = -1/3 and (h, k) = (-8, -7) into the equation y = a(x - h)² + k
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3)
The midpoint of the focus and directrix is the y-coordinate of the vertex:
The x-coordinate of the vertex is given in the focus as 7
(h, k) = (7, 1)
Now let's find the a-value:
Now input a = -1/2 and (h, k) = (7, 1) into the equation y = a(x - h)² + k