I need help with only one question on number 4? anyone pls?
1 answer:
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Answer:
The Drama Club needs to sell more than 3 pictures to make a profit.
The inequality 10x ≥ 2.55x +25 represents the situation.
Step-by-step explanation:
Given that:
Rent for lighting equipment = $25
Price per print = $2.55
Selling price of one picture = $10
x be the number of pictures.
Selling price * No. of pictures sold ≥ Price of per print * pictures printed + rent
10x ≥ 2.55x +25
10x-2.55x≥25
7.45x≥25
Dividing both sides by 7.45
Hence,
The Drama Club needs to sell more than 3 pictures to make a profit.
The inequality 10x ≥ 2.55x +25 represents the situation.
Answer:
D,
Step-by-step explanation:
Separate -1, 2, and 100 from each other inside the radical. You can take out -1 as <em>i</em>, and 100 as 10. You now have 10<em>i</em> on the outside of the radical and 2 on the inside. Hope this helps.
Let the location of the center (x,y)
let the distance between center and point (13,-2) = d₁
let the distance between center and point (-1,-2) = d₂
let the distance between center and point (6,-9) = d₃
The condition of the circle is d₁ = d₂ = d₃
Making two equations to find x , y
d₁² = d₂²
∴ (x-13)² + (y+2)² = (x+1)² + (y+2)²
∴ (x-13)² = (x+1)²
∴ x-13 =
(x+1) ⇒⇒⇒ positive sign unacceptable
∴ x-13 = -(x+1)
∴ x = 6
d₁² = d₃²
∴ (x-13)² + (y+2)² = (x-6)² + (y+9)²
substituting with x and simplifying the equation
∴ y = -2
∴center = (6,-2)
<span>The center swimmers need to be located at (6,-2)</span>
let the distance between center and point (13,-2) = d₁
let the distance between center and point (-1,-2) = d₂
let the distance between center and point (6,-9) = d₃
The condition of the circle is d₁ = d₂ = d₃
Making two equations to find x , y
d₁² = d₂²
∴ (x-13)² + (y+2)² = (x+1)² + (y+2)²
∴ (x-13)² = (x+1)²
∴ x-13 =
∴ x-13 = -(x+1)
∴ x = 6
d₁² = d₃²
∴ (x-13)² + (y+2)² = (x-6)² + (y+9)²
substituting with x and simplifying the equation
∴ y = -2
∴center = (6,-2)
<span>The center swimmers need to be located at (6,-2)</span>