Answer:
<h3>
vertex = (h, k) = (5, -9)</h3>
Step-by-step explanation:

9514 1404 393
Answer:
$2,070,000
Step-by-step explanation:
The series of salaries has a first term of $40,000 and a common difference of $2,000. The sum of them is given by the formula ...
Sn = (2a1 +d(n -1))(n/2)
where a1 is the first term of the series, d is the common difference, and n is the number of terms.
In this problem, we have ...
a1 = 40,000; d = 2,000; n = 30
so the sum is ...
S30 = (2(40,000) +2,000(30 -1))(30/2) = (80,000 +58,000)(15)
S30 = 2,070,000
The teacher will earn $2,070,000 over 30 years on this salary schedule.
Tangent and its inverse, cotangent, have a period of pi. The others have a period of 2π.
Answer:
Yes, the equation is complete.
Step-by-step explanation:
The given quadratic equation, x² + 3x - 10 = 0 is expressed in standard form, <em>a</em>x² + <em>b</em>x + <em>c</em> = 0.
Where: a = 1, b = 3, and c = -10.
Using the quadratic formula:

We can solve for its solution by plugging in the values for <em>a, b</em>, and <em>c</em>.




, 
,
Therefore, the solutions of the quadratic equation, x² + 3x - 10 = 0 is:
x = 2, and x = -5
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Do you mean the width is five less than the LENGTH of the rectangle