
Now completing the square.

(x+5)² = 16 is the rewritten equation... For first question btw.
For the solutions to the equation -
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x = -1,-9 is the solution, for the second question.
Answer:
YES
Step-by-step explanation:
because there the same shape but the right one is moved to the side a little bit
Answer:
$6.40
Step-by-step explanation:
Hello there!
The sum of two numbers (x + y) is 8 (=8).
Their product (x * y) is 15 (=15).
x + y = 8
x * y = 15
First, we know that the two number must be positive and under 8, as the product is positive.
Let's list out some numbers that are from 1 to 8 that sum up to 8;
1 + 7
2 + 6
3 + 5
4 + 4
Now, we need to multiply the two numbers that add up to 8, and see which makes a product of 15.
1 * 7 = 7, this does not work.
2 * 6 = 12, this does not work.
3 * 5 = 15, this works!
4 * 4 = 16, this does not work.
Since we are looking for the larger number in our pairs, let's pick the largest one out of the correct pair, which is 5.
The largest number is 5.
I hope this helps!
Answer:
First differences means take the ordered pairs in increasing order for their x coordinates (assuming the x's go by ones), then subtract each y (except the last) from the y that comes after it. Keep doing that and you get the first differences. (The second differences would be what you get if you then subtract each of the first differences from the one that came after it (TMI probably but ...)
Say the points were (1,3), (2,7), (3,11) and (4,15). The first differences are
7-3 = 4
11-7 = 4
15 - 11 = 4 all 4. This would also be the slope. So that is the relationship - they are the same.