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alukav5142 [94]
3 years ago
15

Calculate: √5/2-√5+2/2+√5

Mathematics
2 answers:
klio [65]3 years ago
4 0
-√5/2+√5+1
-√5/2+2√5/2+1
√5/2+1
(√5+2)/2

Inessa05 [86]3 years ago
3 0
So,

\frac{ \sqrt{5} }{2} - \sqrt{5} + \frac{2}{2} +\sqrt{5}

\frac{1}{2}\sqrt{5} - \sqrt{5} + \frac{2}{2} +\sqrt{5}

First, we have to simplify the expression.

We can see that there is a negative square root of 5 and a positive square root of 5.  They cancel out.  In addition, we know that two-halves are equal to 1.

\frac{1}{2}\sqrt{5} + \frac{2}{2}

\frac{1}{2}\sqrt{5} + 1

Since the square root of 5 can be thought of as 5 to the one-half power, we should evaluate that first.

\sqrt{5}=2.23606797749978969640\ or\ approximately\ 2.236

Substitute 2.236 for the square root of 5.

\frac{1}{2}(2.236) + 1

Multiply.
1.118 + 1

Add.
2.118

So the expression is approximately equal to 2.118 (exactly 2.1180339887498948482045868343656).
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Point A is located at (2, 6) and point B is located at (18, 12).
r-ruslan [8.4K]
From A-->B in a 2:3 ratio means that it's 2/(2+3) of the way up AB
So 2/5 of the x of AB = 2/5×(18-2) = 2/5 (16)
= 32/5 = 6 2/5 + the original x of A (2) = 8 2/5
2/5 of the y of AB = 2/5×(12-6) = 2/5 (6)
= 12/5 = 2 2/5 + the original y of A (6) = 8 2/5
Therefore the answer is:
(8 2/5, 8 2/5)
7 0
4 years ago
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Please help!! Math | 25 points :)
arlik [135]

Values of the composite function:

(g\cdot f)(-1)=6

(g\cdot f)(0)=7

(f\cdot g)(-1)=3

(f\cdot g)(4)=2

Step-by-step explanation:

Given two functions f(x) and g(x), their composite function is given by

(f\cdot g)(x) = f(g(x))

Which means using the output value of g(x) as input for f(x).

Let's start by computing

(g\cdot f)(-1)

First, we compute the value of f(-1), which is (from the graph)

f(-1) = 1

Now we use this value as input into g(x); we notice that at x = 1, the value of g(x) is 6, therefore:

(g\cdot f)(-1)=6

Now we evaluate

(g\cdot f)(0)

First, we compute the value of f(0), which is (from the graph)

f(0) = 0

Now we use this value as input into g(x); at x = 0, the value of g(x) is 7, therefore:

(g\cdot f)(0)=7

Now we evaluate

(f\cdot g)(-1)

First, we compute the value of g(-1), which is (from the graph)

g(-1) = 5

Now we use this value as input into f(x); at x = 5, the value of f(x) is 3, therefore:

(f\cdot g)(-1)=3

Finally we evaluate

(f\cdot g)(4)

First, we compute the value of g(4), which is (from the graph)

g(4) = 4

Now we use this value as input into f(x); at x = 4, the value of f(x) is 2, therefore:

(f\cdot g)(4)=2

Learn more about composite functions:

brainly.com/question/2723982

brainly.com/question/2456302

brainly.com/question/1949601

brainly.com/question/1900154

#LearnwithBrainly

6 0
3 years ago
What are the zeros of the function f(x) = x2 + 8x +4, expressed in simplest radical form?
Elanso [62]

Answer:

x = - 4 ± 2\sqrt{3}

Step-by-step explanation:

Given

f(x) = x² + 8x + 4

To find the zeros let f(x) = 0, that is

x² + 8x + 4 = 0 ( subtract 4 from both sides )

x² + 8x = - 4

To solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = - 4 + 16

(x + 4)² = 12 ( take the square root of both sides )

x + 4 = ± \sqrt{12} = ± 2\sqrt{3} ( subtract 4 from both sides )

x = - 4 ± 2\sqrt{3}

Thus the zeros are

x = - 4 - 2\sqrt{3} and x = - 4 + 2\sqrt{3}

5 0
3 years ago
Find the area of AABC. Where: A = (-3,3), B=(-4,1), C = (-6,0). W Area:
andreev551 [17]

Answer:

3/2=1.5

Step-by-step explanation:

Based on the attached image

AREA_{ABC}=AREA_{AEC}-AREA_{ABF}-AREA_{CDE}_F-AREA_{BCD}\\AREA_{ABC}=BASE_{AEC}*HEIGHT/2_{AEC}-BASE_{ABF}*HEIGHT_{ABF}/2-BASE_{CDE}_F*BASE_{CDE}_F-BASE_{BCD}*HEIGHT_{BCD}/2\\AREA_{ABC}=3*3/2-1*2/2-1*1-2*1/2=9/2-1-1-1=3/2

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3 years ago
A farmer is using a random sample to predict the number of broken eggs in a shipment of 3,000 eggs. Using a calculator, the farm
galina1969 [7]

Answer:

238

Step-by-step explanation:

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3 years ago
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