s = # of songs
y = total amount of money
$11 + $1(35) = y
Simplify the right side
$11 + $35 = y
Combine like terms
$46 = y
If he downloaded 35 songs, he would have ti pay $46
If he downloaded s amount of songs, he would have to pay $11 + $1s = y
Answer:
5.625
Step-by-step explanation:
So first do 112 / 360
Simplify it = 28 / 90 = 14 / 45
So 1.75 is 14 / 45 of the circumference.
The whole circumference is 1.75 * (45 / 14)
So the answer is 45 / 8 = 5.625
Answer:
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)
d = 
= 
= 
= ← exact distance
The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²
The equation of a circle.
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.
r is the radius of a circle.
The midpoint of the given points represents the center of this circle:
h = (4 + 4)/2 = 4
k = (5.5 + 10.5)/2 = 8
Next, we would determine the radius by using the distance formula for coordinates:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
r = √[(4 - 4)² + (10.5 - 5.5)²]
r = √[0² + 5²]
r = √25
r = 5 units.
Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Learn more about circle here: brainly.com/question/12823137
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Answer:
points on the boundary line: (0, 10), (20, 0)
solution points not on the boundary line: (100, 100)
Step-by-step explanation:
We cannot tell from the posted picture whether the boundary line is solid or dashed, so the answer above is split into two parts. If the boundary line is solid (x+2y≥20), all three listed points are in the solution set. If the boundary line is dashed (x+2y>20), only (100, 100) is in the solution set
