2 years ago

What is the missing reason in the proof shown ?

Mathematics

1 answer:

vodomira [7]2 years ago

5 0

Answer:

A symmetric property

Step-by-step explanation:

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What are the solutions of x^2+2x-3=0?

Nikolay [14]

X= 1,-3 If you factor equation you get x-1=0 and x+3=0

4 0

2 years ago

Theresa bought three containers of tennis balls at $2.98 each. She had a coupon for $1 off. Her mom paid for half of the remaini

Rzqust [24]

Answer:

$3.97

Step-by-step explanation:

Three containers @$2.98 = 3 × 2.98 = $8.94

Less $1 = <u>-1.00 </u>

7.94

Less 50% paid my mom = ½ × 7.94 = <u>-3.97 </u>

Paid by Theresa = $3.97

[(3 × 2.98) - 1] ÷ 2 = (8.94 - 1) ÷ 2 = 7.94 ÷ 2 = 3.97

6 0

2 years ago

Find the sum of the first 8 terms of the series. 1/2 + 1 + 2 + 4

Roman55 [17]

$\bf \cfrac{1}{2}~~,~~\stackrel{2\cdot \frac{1}{2}}{1}~~,~~\stackrel{2\cdot 1}{2}~~,~~\stackrel{2\cdot 2}{4}~~,...$

so as you can see the common ratio is 2, and the first term is 1/2,

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}$