Answer:
x=6
Step-by-step explanation:
2(3x+4)=5x+3x-4
combine all like terms and distribute
6x+8=8x-4
-8 -8
6x= 8x-12
-8x -8x
-2x= -12
x= 6
Answer: x=5
Explanation: subtract 4 on both sides than divide 2 on both sides and tada
The distance from the edge of the fountain to the centre is approximately 23.87 inches.
The water fountain forms a circle. The distance around the water fountain is the circumference of the circle formed.
Therefore,
circumference = 2πr
150 = 2πr
The distance from the edge of the fountain to the centre is the radius of the circle formed. Therefore,
75 = πr
r = 75 / 3.14159
r = 23.8732616287
r = 23.87 inches
The distance from the edge of the fountain to the centre is approximately 23.87 inches.
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The measurements are:<span>
b</span>₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches<span>
Let x = length of base and leg
The formula for perimeter of isosceles trapezoid is P = b₁ + b₂ + 2(leg)</span><span>
Where: b = base
<span> P = b</span>₁ +
b₂ + 2(leg)</span><span>
<span> 28 = 3x + 5x + 2(x)</span>
<span> 28 = 8x + 2x</span>
28/10 = 10x/10
<span> 2.8 = x</span>
Now, substitute the values:
<span> P = b</span>₁ +
b₂ + 2(leg)</span><span>
<span> 28 = 3(2.8) + 5(2.8) + 2(2.8)</span>
28 = 8.4 + 14 + 5.6
28 = 28
Hence the measurements are:
b₁ =
8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂<span> =
2.8 inches</span></span>
Answer:
(x - 2)² + (y + 3)² = 9
Step-by-step explanation:
(x - h)² + (y - k)² = r²
(x - 2)² + (y - (-3))² = 3²
(x - 2)² + (y + 3)² = 9
