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fenix001 [56]
3 years ago
14

How would I change this into vertex form? Steps please

Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0
P(x) = x^2 + 4x
y = x^2 + 4x
use the formula (b/2)^2 to find the new c value
(4/2)^2 = 4
add 4 to both sides
y + 4= x^2 + 4x + 4
y + 4= (x+2)^2

y= (x+2)^2 - 4


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A horse trot in a circle around it's trainer at the end of a 31 foot long rope. Find the area of the circle that is swept out. R
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So, imagine the trainer is in the very middle of the circle and he is holding out a rope that's attached to the horse. The rope here from the trainer to the horse represents the radius of the circle. The horse trots around the trainer (middle point) in a circle.
The formula to find area of a circle is A = pi*r^2 (pi times r squared where r is radius)
We know that the radius of the "circle" here formed as the horse trots around the trainer is 31 (the 31 foot long rope). 
So let r = 31 & plug the value into the formula to find circle area.
A = pi*31^2 = 3019.07054
The area is therefore 3019.07 square feet. (rounded)

3 0
3 years ago
Find the area of the following rectangle,
lesya692 [45]

Answer:

55/72 feet squared

Step-by-step explanation:

The area of a rectangle is Length x Height, or Width x Height.

Here, we have a width of 5/6 feet and a height of 11/12 feet.

We multiple 5/6 and 11/12 to get 55/72 feet squared.

4 0
3 years ago
I need help with converting liters, millilters, kiloliters etc? Okay, i am really confused! I don't understand how to get 75.01
Mamont248 [21]
Firstly, understand prefixes :)

giga 1000000000
mega 1000000
kilo 1000
deci 0.1
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6 0
3 years ago
About what percent of electric blowers are less than 7.5 pounds? (You do not have to type the percent sign)
Margarita [4]

Answer:75% ; 50%

Step-by-step explanation:

5 0
3 years ago
FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

8 0
3 years ago
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