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Naddika [18.5K]
4 years ago
10

The diameter of a circle pass through

Mathematics
1 answer:
Neko [114]4 years ago
8 0
The diameter of a circle passes through the middle
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What are the roots of 3x2 + 10 = 4x?
sveticcg [70]

Answer:

Option C is correct.

roots of the given equation , x =\frac{2\pm i\sqrt{26}}{3}

Step-by-step explanation:

Given the equation: 3x^2+10 = 4x

We can write this equation as:

3x^2-4x + 10 =0

A quadratic equation is in the form of ax^2+bx+c =0      ......[1] where a,b ,c are the coefficient and x is the variable,

the solution of the equation is given by;

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

On comparing given equation with equation [1] we get;

a = 3 , b = -4 and c =10

So, the solution of the given equation is given by;

x = \frac{-(-4)\pm\sqrt{(-4)^2-4(3)(10)}}{2(3)}

or

x =  \frac{4\pm\sqrt{(16-120}}{6} = \frac{4\pm\sqrt{(-104)}}{6} = \frac{4\pm\sqrt{(-4 \times 26)}}{6}

or

x =\frac{4\pm2 \sqrt{(-26)}}{6} = \frac{4\pm2 i\sqrt{26}}{6}    [∴\sqrt{-1} = i

Simplify:

x =\frac{2\pm i\sqrt{26}}{3}

therefore, the roots of the given equation are; x =\frac{2\pm i\sqrt{26}}{3}

5 0
3 years ago
Read 2 more answers
How do i evaluate 16^(-1/2) ?
Marianna [84]
16^(-½) is the same as 1/(16^(½)) which is equal to ¼
3 0
3 years ago
A pharmacist is filling small empty bottles with cough syrup from a larger bottle. He can solve the inequality
goldfiish [28.3K]

If a pharmacist is filling small empty bottles with cough syrup from a larger bottle. The statement that  describes the number of small bottles the pharmacist can fill is: A. The pharmacist can fill 30 bottles or fewer.

<h3>Number of small bottles the pharmacist can fill</h3>

Given:

inequality=1,000-25x ≥250

Let x represent the number of small bottles

Hence:

1,000-25x ≥250

Collect like terms

1,000-250 ≥25x

750 ≥25x

Divide both side by 25x

x=750/25

x=≤30 bottles or fewer


Therefore If a pharmacist is filling small empty bottles with cough syrup from a larger bottle. The statement that  describes the number of small bottles the pharmacist can fill is: A. The pharmacist can fill 30 bottles or fewer.

Learn more about Number of small bottles the pharmacist can fill here:brainly.com/question/24246068

#SPJ1

4 0
2 years ago
Please help , I really need it thanks!
Nana76 [90]
The symbol "<=" without quotes means "less than or equal to"

-6x + 2y <= 42
-6x + 2y + 6x <= 42 + 6x ... Add 6x to both sides
2y <= 6x + 42
2y/2 <= 6x/2 + 42/2 ... divide every term by 2
y <= 3x + 21

So the answer is choice D
4 0
4 years ago
Which equation represents the horizontal line passing through (7.5) ?
Sloan [31]
Horizontal line is y=, because every point along that horizontal line will have the same y value. So, now look at the point and notice that the y value is 5. So the horizontal line with a y value of 5 is y=5. Thus the answer is f.
5 0
3 years ago
Read 2 more answers
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