Answer:
4.5 units
Step-by-step explanation:
The formula given is used to calculate the length of a segment given the coordinates of the endpoints.
let (x₁, y₁ ) = A(-1, 1) and (x₂, y₂ ) = (3,3), then
AB = 
= 
= 
= 
≈ 4.5 ( nearest tenth )
Assume that solution with 20% and 50% salt is x and y gallons respectively.
Therefore,
x+y = 300 => y=300-x
Additionally
20x+50y = 300*41 = 12300
Substituting for y
20x+50(300-x) = 12300 => 20x+15000-50x = 123000 => -30x = -2700
x= 90 gallons
y= 300-x = 300 - 90 =210 gallons
Variable squared minus negative 2
Answer:
The lateral area = 450 mm²
Step-by-step explanation:
The lateral area of any prism is equal to the areas of the sides faces
∵ The base of the prism is triangle
∴ It has 3 side faces
∵ The lengths of the side faces are 5 , 12 , 13 and their height is 15
∴ The lateral area = (5 × 15) + (12 × 15) + (13 × 15)
= 75 + 180 + 195 = 450 mm²
Answer:
10
Step-by-step explanation:
26^2-24^2=100
sqrt of 100 is 10
