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zepelin [54]
3 years ago
6

Complete the square 3x^2+12x=15

Mathematics
1 answer:
barxatty [35]3 years ago
3 0

Step-by-step explanation:

3 {x}^{2}  + 12x = 15 \\ 3 ({x}^{2}  + 4x) = 15 \\  {x}^{2}  + 4x = 5 \\  {x}^{2}  + 4x  = 5 \\  {x}^{2}  + 4x + 4 = 5 + 4 \\ {x}^{2}  + 4x + 4 = 9 \\ {x}^{2}  + 4x +  {2}^{2}  =  {3}^{2}  \\ \red{ \bold{ (x + 2)^{2}   =  {3}^{2}}}  \\

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Circumference and Area questions look at the picture
Helga [31]

Note that the formula for the circumference of a circle is πd, while the formula for the area of a circle is πr².

π≈3.14

A. C=πd

Simply plug in the numbers into the formula.

Diameter=Radius*2

17*2=34

C=34(π)

B. (π)(5²)

Plug in the numbers into the formula. Remember that half of the diameter is the radius.

C.  (π)(4.5)

There are two possible formulas that could be used to calculate the circumference of a circle: πd and 2πr.

The expression above is simply multiplying the circle's radius times pi. Therefore, it is not a method that could be used to find the circumference of a circle.

D. (π)(6.5²)

Remember that the formula for calculating the area of a circle is πr².

Half of the diameter is 6.5 (13.5/2=6.5). 6.5 cm. is the radius. Now just plug the numbers into the formula.

(π)(6.5²)

Therefore, the last answer choice is the correct answer.

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3 years ago
Write a word problem for 8x - 5 = 40
masya89 [10]

Answer:

Bob only has 40 dollars but he wants to buy a membership at the gym. It cost 8 dollars per month to receive a gym card. Bob went to the Gym in person so they gave him a 5 dollar off coupon. How many months can Bob buy?

Step-by-step explanation:

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zhenek [66]

Answer:

y = 1/2x + 1.

Step-by-step explanation:

Use the point-slope form of a straight line:

y - y1 = m(x - x1)     (where m=slope and(x1,y1) is a point on line).

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3 years ago
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Veronika [31]

Answer:

A) 2k+4

Step-by-step explanation:

To solve for terms of x, we need to. she sure that x is on its own side while every other term is on the other side.

To start, we will cross multiply. If we have a/b=c/d, then ad=bc

We can perform the same calculation here,

6/x=3/(k+2)

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x=2k+4

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3 years ago
Can someone help me? y=2.5x
Alina [70]

Answer:

x = y / 2.5

Step-by-step explanation:

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