Answer:
x^2 -2x + 1
Step-by-step explanation:
Think of a quadratic equation as
ax^2 + bx + c
x^2 -2x +
Comparing the two equations
a = 1 , b = -2, c = ?
c becomes the missing part
Divide b by 2
-2/2 = -1
square the result
-1^2
= 1 this is what to add to get a perfect square
x^2 -2x + 1
(x - 1)^2
Answer:
x = 41.2
Step-by-step explanation:
Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.
Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.
Answer: B.f(n)9n-12
Step-by-step explanation:
Answer:
a.) 13 students
b.) 53 members
Step-by-step explanation:
a.) In the given equation of y=4x+13, "x" represents how many years have gone by since the club had started. The number "13" in this equation represents the y-intercept, or the value of "y" when x = 0. Therefore, when "x" is 0 years, there were 13 students in the clubs, meaning that the original group that started the club contained 13 students.
b.) Since the question asks how many members that the club will have after their tenth year and you already know that "x" in the equation y=4x+13 represents the number of years since the club started, all you have to do is plug 10 in for "x" in the equation; so, the equation will now look like this: y=4(10)+13. Keeping PEMDAS in mind, you first multiply 4 and 10 to get 40, and then you add 13 to get an answer of 53 members after year 10.
Since it is to the nearest thousand, it would be 4.999
