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Ivenika [448]
2 years ago
6

What is the value of S4 for

Mathematics
1 answer:
zzz [600]2 years ago
4 0

Answer:

90

Step-by-step explanation:

To find s4  we find sum of values when n=1,n=2,n=3,n=4

given expression is 6(2)^{n-1}

n=1 , plug in 1 for n

6(2)^{1-1}=6

n=2

6(2)^{2-1}=12

n=3

6(2)^{3-1}=24

n=4

6(2)^{4-1}=48

Sum of all 4 terms = 6+12+24+48=90

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Which are the solutions of x2 = 19x + 1?
Finger [1]

Answer:

(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})

Step-by-step explanation:

we have

x^2=19x+1

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

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

in this problem we have

-x^{2}-19x-1=0  

so

a=1\\b=-19\\c=-1

substitute in the formula

x=\frac{-(-19)\pm\sqrt{-19^{2}-4(1)(-1)}} {2(1)}

x=\frac{19\pm\sqrt{365}} {2}

x=\frac{19+\sqrt{365}} {2}

x=\frac{19-\sqrt{365}} {2}

(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})

therefore

StartFraction 19 minus StartRoot 365 EndRoot Over 2 EndFraction comma StartFraction 19 + StartRoot 365 EndRoot Over 2 EndFraction

6 0
3 years ago
Read 2 more answers
- 2/3x + 5(3/5 - 3/5x) - 12 divided 6 *2
Ira Lisetskai [31]

Answer: -3 2/3x - 1

Step-by-step explanation:

-2/3x + 5(3/5 - 3/5x) - 12 / 6 * 2

First distribute

-2/3x + 3 - 3x - 12 / 6 * 2

Now divide 12 by 6

-2/3x + 3 - 3x -2 * 2

Now multiply -2 by 2

-2/3x + 3 - 3x - 4

Now subtract 3x from -2/3x

-3 2/3x + 3 - 4

Now subtract 4 from 3

-3 2/3x - 1

4 0
2 years ago
2. Why are the triangles congruent?
Lady bird [3.3K]

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

6 0
3 years ago
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What is the value of x? Please show step by step.
3241004551 [841]
Start by using trig to find the length of the line LJ

The triangle KJL (big right angled triangle) has been given the following dimensions

Hypotenuse = 8 \sqrt{2}
The adjacent angle is 30 degrees

Since we have the hypotenuse and the  angle we must use the equation 
opposite = Sin(angle) x Hypotenuse

Opposite= sin30 x 8 \sqrt{2}

Opposite= 4 \sqrt{2}

Therefore line LJ is 4 \sqrt{2}


Now look at the smaller right angled triangle (LMJ) 

Hypotenuse is the line LJ which is 4 \sqrt{2}

The adjacent angle is 45

Since we have hypotenuse and angle we must use the equation opposite = sin(angle) * h

therefore 
x= 4 \sqrt{2} * sin45= 4


3 0
3 years ago
What is the value of Y ??​
lilavasa [31]

Answer:

but where is the diagram

Step-by-step explanation:

????????

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2 years ago
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