Answer:
<em><u>A theater has </u></em><em><u>60 seats</u></em><em><u> in the first row, 68 seats in the second row, 76 seats in the third row,</u></em>
<em><u>and so on in the same i</u></em><em><u>ncreasing pattern</u></em><em><u>. If the theater has</u></em><em><u> 20 rows of seats, how many seats are in the theater?</u></em>
220 seats in the theater.
So if the increasing pattern is +8, and we need to determined how many seats there will be if there where 20 rows, then you would need to multiply.
1. 8 x 20 = 160
2. 160 + 60 = 220
Answer:
9
Step-by-step explanation:
you want the trinomial (x*x - 6x + __ ) to be written as a binomial squared.
So we would need to realize that the constant would be equal to (-6/2)^2 =(-3)^2 = 9
We have completed the square.
f(x) = 4*( x - 3)^2 + 20 is now in Vertex Form
Answer:
Step-by-step explanation:
multiply lengthx weith
<h3><u>Answer;</u></h3>
The correct answer<em> </em><em><u>is true</u></em>
<h3><u>Explanation;</u></h3>
- <u>Dilation</u> is a type of transformation which stretches and reduces the size of the original figure.
- A dilation has a center of dilation and a dilation scale factor. If the scale factor is less than one then the original size will shrink, and if the scale factor is greater than one then the figure will increase in size.
- Dilation transformation does not alter the shape of a figure but alters the size by making it bigger or smaller.
Answer:
Not a Solution
Step-by-step explanation:
We are given two inequalities which are
y ≤ x -4 .............(i)
-x+3y>-4 ............(ii)
Also we are given an ordered pair which is (5, 1/3)
Now from this order pair we see that
x = 5 and y = 1/3
Because in an ordered pair the first element represents the x value while the second value represent the y value
Now to find whether this order pair satisfies the given inequality or not we have to plugin the values of x and y in both inequalities separately and see whether it satisfies the in equality or not
Taking First inequality:
which is
y ≤ x -4
Putting x = 5 and y = 1/3 in inequality
it becomes
≤ 5 -4
≤ 1 ∵ which is true
So this inequality holds the order pair
Taking second inequality:
which is
-x+3y> -4
Putting x = 5 and y = 1/3 in inequality
it becomes
-5+
> -4
-5+1 >-4
-4>-4 ∵ which is false because - 4 = - 4
So this inequality does not holds the order pair
So the order pair is not solution of the given inequalities because of the reason that second inequality is not satisfied