Answer:
x= -3+√2 or x= -3-√2 ( answer : A and B )
Step-by-step explanation:
hello :
x²+6x+9 = (x+3)².....identity
x²+6x+9 =2 means : (x+3)²=2
so : (x+3 = √2) or (x+3 = - √2)
so two solutions :
x= -3+√2 or x= -3-√2
Answer:
D. y = 12.5x + 15
Step-by-step explanation:
Using the values provided in the table, the only equation that would be valid would be the following...
y = 12.5x + 15
That is because if we substitute any value provided in the table for x , this equation will correctly output the y value shown in the table for the attached x-value. For example, in the table 5 nights (x = 5) should have a total cost of 77.5 (y = 77.5)... Therefore, if we substitute 5 for x in the function it should give us 77.5 which it does.
y = 12.5(5) + 15
y = 62.5 + 15
y = 77.5
What do you need help with ?
Part (a)
Since point E is on segment AD, this means the slope of ED is the exact same as the slope of AD.
Use the slope formula to calculate the slope of AD.
m = (y2-y1)/(x2-x1)
m = (7-2)/(4-0)
m = 5/4
<h3>Answer: 5/4</h3>
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Part (b)
The same idea and steps apply as part (a)
<h3>Answer: 5/4</h3>
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Part (c)
The x coordinates are the same, so we subtract the y coordinates to find the distance between C and D, which is the length of segment DC.
7-2 = 5
<h3>Answer: 5 units</h3>
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Part (d)
This time, the y coordinates are the same. We'll subtract the x values
4-2 = 2
<h3>Answer: 2 units</h3>
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Part (e)
Same idea as part (d), just different numbers this time.
2-0 = 2
<h3>Answer: 2 units</h3>
