2 years ago

What is the solution to the following system of

Mathematics

1 answer:

Rufina [12.5K]2 years ago

5 0

Answer:

i think the correct answer of these qusion is -2,3

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Step-by-step explanation:

The son is y and the mom is x

x=7y

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What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?

Serggg [28]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
n=6\\
S_6=-105
\end{cases}$

$\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
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-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
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\cfrac{-105}{-21}=a_1\implies 5=a_1$

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2 years ago

Answer the questions about congruent triangles.

Brrunno [24]

Answer:

<B = <G

Step-by-step explanation:

ABC ≅FGH

<A = <F

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because corresponding parts of congruent triangles are congruent

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Consider this option:
Volume is 256π/5, area is 32/3.
Details are in the attachment.
P.S. intersection points are (-2;4) and (2;4).

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