Answer: y=(x+7)^2-9 where h=-7 and k=-9
Step-by-step explanation:
We need to "complete the square",
A perfect square trinomial formule is:
(a+b)^{2}=a+2ab+b^{2}
in this case, a is x and to find -h we know that 14x is 2*x*(-h) so:
14x=2*x*(-h)
14x/2x=-h (x is simplified)
7=-h => h=-7
we add +7^2 and -7^2, to the first equation:
y= <u>x^2 + 14x + 7^2</u> -7^2 + 40 (the underlined section is a perfect square trinomial already)
y=(x+7)^2 <u>-49 +40</u> (addition)
y= (x+7)^2 - 9
Answer:
$30.98
Step-by-step explanation:
Make an expression
It costs 3.25 per mile(x), and there is a cost of 4 no matter how many miles are traveled.
3.25x+4
To find how much 8.3 miles will cost, substitute 8.3 in for x
3.25x+4
3.25(8.3)+4
Multiply
26.975+4
Add
30.975
Round to the nearest cent/hundreth
30.98
So, it costs $30.98 to travel 8.3 miles
Hope this helps! :)
The value of h is h = -1.5
Step-by-step explanation:
The quadratic equation is represented by a parabola, the vertex form of the equation is y = a(x - h)² + k, where
- (h , k) are the coordinates of its vertex point
- a is the coefficient of x²
∵ The graph is a parabola opens up
∵ It has a vertex at (-1.5, 0)
∵ The vertex of the parabola is (h , k)
∴ h = -1.5 and k = 0
∵ The graph shows f(x) = (x - h)²
∵ The coordinates of the vertex are (h , k)
∵ h = -1.5 and k = 0
∴ h = -1.5
The value of h is h = -1.5
Learn more:
You can learn more about the parabola in brainly.com/question/8054589
#LearnwithBrainly
Answer:
4 - i
Step-by-step explanation:
Intuitively, the answer will be 4 - i, as the other numbers are too big to have a square as small as 17i. Also, we know that i will not be in the end result, which means that we should have a negative in the result as well.
To test this, we can simply treat 4 and -i as the sides of a right triangle and find the hypotenuse:
So indeed the answer is 4 - i
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