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2 years ago

What is the value of S4 for

Mathematics

1 answer:

zzz [600]2 years ago

4 0

Answer:

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

$-x^{2}-19x-1=0$

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

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

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3 years ago

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- 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

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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.

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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
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3 years ago

What is the value of Y ??

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Answer:

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