The distance between two points is given by:
d² = (x₂-x₁)² + (y₂ - y₁)²
9 = (x₂ - 4)² + (y₂ - 2)²
Now, we can check different ordered pairs in this equation to see which satisfies it:
The one that satisfies this equation is (4 , -1).
Answer:
x=-4
y=-4
Step-by-step explanation:
We are going to eliminate the variable x. In order to do this, we are going to make the coefficients the same by multiplying the second equation by 2
mark brainliest :)
9514 1404 393
Answer:
- 90 student tickets
- 65 adult tickets
Step-by-step explanation:
For many "mixture" problems, it is convenient to use a variable for the quantity of the highest contributor. Here, we can use 'a' to represent the number of adult tickets, because adult tickets cost the most. Then the number of student tickets is (a+25), and the total revenue is ...
6a +3(a+25) = 660
9a +75 = 660
9a = 585
a = 65
(a+25) = 90
The drama class sold 90 student tickets and 65 adult tickets.
Answer:
130 yd^2
Step-by-step explanation:
First we find the area of the triangle
A = 1/2 b h where b is 10 and h= 6.25
A = 1/2 (10) * 6.25
= 31.25 yd^2
Then we find the area of rectangle A
A = l*w where l is 10 and w = (7.5-2.5) = 5
A = 10 * 5
= 50 yd^2
Then we find the area of rectangle B
A = l*w where l is 6.5 and w = 7.5
A = 6.5 * 7.5
= 48.75 yd^2
The total area is found by adding them together
A triangle + rectangle A + rectangle B
31.25+50 + 48.75
130 yd^2
Formula: total = principal x (1 + (interest rate x loan time))
total = 1000 x (1 + (0.055 x 2))
total = 1000 x (1 + 0.11)
total = 1000 x 1.11
total = $1110
