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dedylja [7]
2 years ago
8

(2x+3)²=5.find the roots of the equation ​

Mathematics
1 answer:
bija089 [108]2 years ago
4 0

Answer:

-2.61803398875, -0.38196601125

or

(-3±√5)/2

Step-by-step explanation:

First, expand. (2x+3)² = 4x²+12x+9=5

4x²+12x+4 = 0

Quadratic equations take the form ax²+bx+c = 0

In this case,

a = 4

b = 12

c = 4

You can solve with the equation x=(-b±√b²-4ac)/2a

Plug in:

(-12±√144-64)/8

(-12±√80)/8

(-12±√2^4×5)/8

(-12±4√5)/8

(-3±√5)/2

Final answer x = (-3±√5)/2

If you want decimal form: -2.61803398875, -0.38196601125

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Help me please I don’t understand
LuckyWell [14K]

Answer:

14/11

Step-by-step explanation:

A rational number times a rational number is rational

A rational number is written as a/b

14/11 * 1/2 = 7/11

This is rational

8 0
3 years ago
Please please please help. thank you.
djverab [1.8K]
Lets get started :)


The First question:
Diameter = 20 ft
Radius = \frac{1}{2} of 20 (diameter) = 20 ft

Area formula of a circle is
A = \pir²
    =\pi(10)²
    =100\pi ft²
    ≈ 314 ft²

The answer will be the second option

The Second question:
radius of circle = 12mm  divided into 20 sectors area

A = \pir²
   = \pi(12)²
   = 144\pi ft²

Divide into 20 equal sector areas = \frac{144 \pi }{20} = 7.2 \pi

≈ 22.6 mm²

Your answer will be the third option

The Third Question:

90°, sector area = 36\pi , Radius = ?

\frac{angle}{360} = \frac{sector}{ \pi (r)^2}
\frac{90}{360} = \frac{36 \pi }{ \pi r^2}
\pi and \pi cancels out

We can now cross multiply
360 × 36 = 90r²
12960 = 90r²

Divide by 90 on either side

\frac{12960}{90} = \frac{90r^2}{90}
144 = r²

Take squareroot 
 \sqrt{144} = x
x = 12 in

Your answer will be the third option




4 0
3 years ago
What is -3(3y-7)=21-9y
Nina [5.8K]

Answer:

the equation is equivalent, y is any number

Step-by-step explanation:

-3(3y-7) = 21-9y

-9y + 21 = 21 - 9y

-9y = -9y

y=y

any number will satisfy y=y

6 0
3 years ago
Help me answer this question people will give brainliest
lana66690 [7]

Answer:It'll be part B



Step-by-step explanation:


5 0
3 years ago
Find the area to the right of the z-score 1.39 and to the left of the z-score 1.53 under the standard normal curve.1.2 1.3 1.4 0
svetoff [14.1K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is  P( 1.39 <  z <  1.53 ) = 0.0193

Step-by-step explanation:

From the question we are told to obtain the area to the of the z-score 1.39 and to the left of the z-score 1.53, this is mathematically represented as

        P( 1.39 <  z <  1.53 ) =  P( z <  1.53 ) - P( z <  1.39 )

From the z table on the question the area under the normal curve to the left corresponding to 1.53 and  1.39  is

       P( z <  1.53 )  = 0.9370

and

      P( z <  1.39 )  = 0.9177

So

     P( 1.39 <  z <  1.53 ) = 0.9370 - 0.9177

=>  P( 1.39 <  z <  1.53 ) = 0.0193

6 0
3 years ago
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