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4 years ago

Isosceles trapezoid abcd has diagonals ac and bd if ac=5x+13

Mathematics

1 answer:

maxonik [38]4 years ago

6 0

Sorry fam im stumped hope you get the answer your looking for

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Infinite over E n=1 4(0.5)^n-1

yan [13]

Answer:

S = 8

Step-by-step explanation:

An infinite geometric series is defined as limit of partial sum of geometric sequences. Therefore, to find the infinite sum, we have to find the partial sum first then input limit approaches infinity.

However, fortunately, the infinite geometric series has already set up for you. It’s got the formula for itself which is:

$\displaystyle \large{\lim_{n\to \infty} S_n = \dfrac{a_1}{1-r}}$

We can also write in summation notation rather S-term as:

$\displaystyle \large{\sum_{n=1}^\infty a_1r^{n-1} = \dfrac{a_1}{1-r}}$

Keep in mind that these only work for when |r| < 1 or else it will diverge.

Also, how fortunately, the given summation fits the formula pattern so we do not have to do anything but simply apply the formula in.

$\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{1-0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = 8}$

Therefore, the sum will converge to 8.

Please let me know if you have any questions!

6 0

2 years ago

Use the distributive property to multiply. -(-16m-1)

Pepsi [2]

Answer:

16m+1

Step-by-step explanation:

Knowing about our proprieties about parentheses and negatives, let's solve this out.

A negative multiplied by a negative give you a positive

therefore....

-(-16m-1)= 16m+1

The -1 also receives the negative because the problem was in a parentheses :)

8 0

3 years ago

Find the degree of the polynomial below. 9x2 – 25

bulgar [2K]

Answer:

$\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}$

${9x}^{2} - 25$

✏ Degree is the highest value of the exponent in the polynomial. In this polynomial 2 is the degree of the polynomial.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

$\huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}$

3 0

3 years ago

Read 2 more answers

Please help with these 3 questions

Sever21 [200]

Answer: x = 11

Step-by-step explanation:

2x+5 = 3x-6

2x-3x = -6-5

-x = -11

x = 11

Double-check:
11*2= 22 11*3=33

22+5 = 27 33-6= 27

4 0

2 years ago

The are of a rectangle is 54 cm. The length is 2 cm more than a x and the width is 5 cm less than twice x. Solve for x. Round yo

romanna [79]

Given that:

(x+2)(2x-5)=54

We have:
$2x^2-x-64=0$

Using the quadratic formula, this is approximately 5.66, so rounded to the nearest whole number, our answer is 6.

4 0

3 years ago