Answer:
(-2 , 5)
(-1 , 0)
(1 , -4)
(3 , 0)
(4 , -5)
Step-by-step explanation:
<u>First solve the equation:</u>
x² - 2x - 3
<em><u>Find two numbers with have a sum of -2 and a product of -3.</u></em>
-3 and 1
(x - 3)(x + 1)
Solve for x:
x - 3 = 0
x = 3
x + 1 = 0
x = -1
You know that the graph will cross the x-axis at -1 and 3.
(-1 , 0)
(3 , 0)
You know that the graph is positive.
<u>Complete the square to find the vertex</u>
x² - 2x - 3
(x - 1)² = x² - 2 + 1
x² - 2x - 3 = x² - 2 + 1 - 2 = (x - 1)² - 2
1 = 0
x = 1
Substitute into the original equation:
x² - 2x - 3 =
1² - (2 * 1) - 3 =
1 - 2 - 3 =
-4
(1 , -4)
<em><u>You can input any two numbers within -10 and 10. Such as -2 and 4.</u></em>
x² - 2x - 3 =
-2² - (2 * -2) - 3 =
4- -4- 3 =
5
(-2 , 5)
x² - 2x - 3 =
4² - (2 * 4) - 3 =
16 - 8 - 3 =
-5
(4 , -5)
Answer:
47 degrees
Step-by-step explanation:
total degrees in a triangle is 180
since this is a right triangle there is a 90 degree in there and it also gives the 43 degree
subtract 90 and 43 from 180 and you get 47
Answer:
1/2 -2/1
Step-by-step explanation:
122
8mar12
212323
123345wqesfef
Answer: 43 yards.
Step-by-step explanation:
Let the shape of the area occupied for festival be rectangle.
and area of rectangle = length x width
Given: Area of the festival= 2,494 square yards.
Length of the festival= 58 yards
Then width = (Area )÷ (length)
= (2494)÷58 yards
= 43 yards
hence, the width of the festival = 43 yards.
Answer:
69 people got in free over the 2 days
Step-by-step explanation:
6742/175=38
5487/175=31
31+38=69