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bagirrra123 [75]
3 years ago
8

What should be added to both sides of the equation below to complete the square?

Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0

Answer:

Step-by-step explanation:

x² + 6x = 8

Coefficient of the x term: 6

Divide it in half: 3

Square it: 3²

Add 3² to both sides of the equation to complete the square and keep the equation balanced:

x² + 6x + 3² = 8 + 3²

(x+3)² = 17

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Answer:

median is 117.5

Step-by-step explanation:

4 0
3 years ago
Ecuacion de parabola con foco (-2,5) directriz en x=3
Dmitry_Shevchenko [17]

The required equation of the parabola is (y-5)² = 20(x+2)

<h3>Equation of a parabola</h3>

The standard equation of a parabola is expressed as;

(y-k)² = 4p(x-h)

where;

vertex = (h, k)

focus = (p+k, k)

directrix x = -p + h

Note that the directrix given will determine the type of the equation of a parabola

Given the following parameters

focus = (-2, 5) = (h, k)

x = -p + h

3 = p -2

p = 5

Substitute

(y-k)² = 4p(x-h)

(y-5)² = 4(5)(x-(-2))

(y-5)² = 20(x+2)

Hence the required equation of the parabola is (y-5)² = 20(x+2)

Learn more on equation of parabola here; brainly.com/question/4061870

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6 0
2 years ago
A bicyclist races on a bicyclist with 13-inch-radius wheels. When she is traveling at a speed of 37 ft/sec, how many revolutions
drek231 [11]
Radius of a wheel = 13 inch
= 1.08333 ft
circumference of a wheel = 2×pi×r^2
= 2 × (22/7) × 1.08333^2 ft
= 2 × (22/7) × 1.1736 ft
= (44/7)×1.1736 ft
= 51.6384/7 ft
= 7.3769142857 ft
distance covered in one minute = 37 × 60 ft/min
= 2220 ft/min
now, revolution per minute = 2220 / 7.3769142857
= 300.93884
therefore her wheels are making 300.93884 revolutions per minute
8 0
3 years ago
A rectangular shoebox has a volume of 85 cubic inches. The base of the shoebox measures 2 inches by 2.5 inches. How long is the
Kisachek [45]

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two mea

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

vide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14

5 0
3 years ago
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melomori [17]

Answer:

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