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Juli2301 [7.4K]
3 years ago
13

Find the solutions to the quadratic equation below by completing the square. x2 - 8x - 7 = 0

Mathematics
1 answer:
Furkat [3]3 years ago
3 0

Answer:

x=4-\sqrt{23}, x=4+\sqrt{23}

Step-by-step explanation:

(x^2-8x+16)-16-7=0

(x-4)^2=23

x=4-\sqrt{23}, x=4+\sqrt{23}

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20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than
KIM [24]

Answer:

  (5, 8), (7, 1), (15, 3)

Step-by-step explanation:

a) The variables are defined in the problem statement. The total expenditure must satisfy ...

  2.00x +3.50y ≤ 42.00

b) Possible solutions include ...

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These were chosen by looking at the attached graph of the equation.

6 0
3 years ago
I am very confused with this problem please help me
Tanya [424]

Answer:

The answer is -0.5

Step-by-step explanation:

Divide both side by the numeric factor on the left side then solve

6 0
3 years ago
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Please help, my teacher never went over this with us.
laiz [17]

Answer:

F ) √ 9/64

Step-by-step explanation:

√ 9/64 simplifies into 3/8, which is a rational number

6 0
3 years ago
A circle has a circumference of 28π centimeters. In terms of π, what is the area of the circle to the nearest square centimeter?
Vadim26 [7]

Hi there!

The formula to find the are of a circle is :

a = \pir²

The formula to find the circumference of a circle is :

c = 2\pir


In order to use the area formula, you need to figure out what the radius (r) is.

If we solve for "r" in the circumference equation, we have :

r = c ÷ (2\pi)


Now we use this to replace "r" in the area formula :

a = \pi ( c ÷ (2\pi))²


When we simplify this we get :

a = c² ÷ 4\pi


Now you can put your value of "c" into this equation and find "a".

*Remember, \pi is about 3.1416.


Solving for "a" :

a = c² ÷ 4\pi

a = 28² ÷ 4\pi


28² = 28 × 28 = 784


a = 784 ÷ 4\pi


4\pi = 4 × \pi = 12.56637061435917


a = 784 ÷ 12.56637061435917

a = 62.38873769202297cm²


You need to round to the nearest square centimeter, which means that you need to round to the nearest whole number :

a = 62cm²


There you go! I really hope this helped, if there's anything just let me know! :)

8 0
3 years ago
Which line has a slope of 2 and please tell me how to figure it out on my own
Yakvenalex [24]
Lines b and c
they both go up 2 and over 1 (rise over run is slope)
3 0
3 years ago
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