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lubasha [3.4K]
2 years ago
12

Solve x2 + 12x = –20 by completing the square.

Mathematics
1 answer:
Scorpion4ik [409]2 years ago
4 0

Answer:

Solve x2 + 12x = –20 by completing the square.Add to both sides of the equation. The value of in this equation is 36Write the left side of the equation as a binomial squared. The left side of the equation becomes (x+6)2.Use the square root property of equality.Isolate the variable: x = -10 and -2

Step-by-step explanation:

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Calculate the volume of the cylinder: 10 yd 7 yd
Evgesh-ka [11]

Answer:

The answer is 384.85 yd       to the power of 3

Step-by-step explanation:

πr2h

=  π×3.52×10

=  122.5π

=  384.85

8 0
2 years ago
Please can someone help!
Rom4ik [11]

Answer:

51 mph

Step-by-step explanation:

→ The first thing we need is a formula which links speed, distance and time so,

Speed = Distance ÷ Time

Speed = mph

Distance = metres/miles

Time = hours

→ Since we want to work out the average speed of the entire journey we need to first work out the total distance and total time. Using the first sentence of the paragraph, it says that <em>the car travels at an average speed of 45 mph for 40 minutes, </em>we can rearrange the formula to work out the distance so,

Speed = Distance ÷ Time

→ Rearrange to get distance as subject

Distance = Speed × Time

→ Substitute in the values

Distance = 45 × 40

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

40 ÷ 60 = 0.666666667

→ Substitute in the time value multiplied by the speed

Distance = 45 × 0.666666667 = 30

⇒ 30 metres/miles is overall distance for the first part of the journey

→ Now we have to work out the distance for the second part of the journey. State the distance formula.

Distance = Speed × Time

→ Substitute in the values into the distance formula

Distance = 60 × 25

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

25 ÷ 60 = 0.416666667

→ Substitute in the time value multiplied by the speed

Distance = 60 × 0.416666667 = 25

⇒ 25 metres/miles is overall distance for the second part of the journey

→ Now we have to add the distance of both the journeys together

25 + 30 = 55

→ Then we add the times of the journey together

40 minutes + 25 minutes = 65 minutes

→ Convert 65 minutes into hours

65 ÷ 60 = 1.08333 hours

→ Substitute both values into the speed = distance ÷ time formula

Speed = 55 ÷ 1.08333 = 50.76923077

→ The question says to round it to the nearest whole number so,

50.76923077 = 51 mph

7 0
3 years ago
Does anyone know how to do this?
nekit [7.7K]
That look hard what subject is it
7 0
3 years ago
Read 2 more answers
I'll pick brainiest. Please help me!! Answer as best as you can. THANK YOU!!
rodikova [14]

The volume of the cube is 54.87 but rounded to the nearest tenth is 54.9

The exact volume of the cylinder is 1770.28 but rounded is 1770.29 and the approximate volume of the cylinder is 1769.36

5 0
3 years ago
Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation t
Viefleur [7K]
(1/2 ,5) hope this helped
10 0
3 years ago
Read 2 more answers
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