Which statement about this system of equations is true?

Mathematics

1 answer:

Lunna [17]3 years ago

8 0

Parallel lines have no solution

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Please I need help with this ASAP

MArishka [77]

$\bf \begin{array}{ccll} term&value\\ \cline{1-2} s_4&18\\ s_5&18r\\ s_6&18rr\\ &18r^2 \end{array}\qquad \qquad \stackrel{s_6}{8}=18r^2\implies \cfrac{8}{18}=r^2\implies \cfrac{4}{9}=r^2 \\\\\\ \sqrt{\cfrac{4}{9}}=r\implies \cfrac{\sqrt{4}}{\sqrt{9}}=r\implies \boxed{\cfrac{2}{3}=r} \\\\[-0.35em] ~\dotfill$

$\bf n^{th}\textit{ term of a geometric sequence} \\\\ s_n=s_1\cdot r^{n-1}\qquad \begin{cases} s_n=n^{th}\ term\\ n=\textit{term position}\\ s_1=\textit{first term}\\ r=\textit{common ratio}\\ \cline{1-1} n=6\\ s_6=8\\ r=\frac{2}{3} \end{cases}\implies 8=s_1\left( \frac{2}{3} \right)^{6-1} \\\\\\ 8=s_1\left( \frac{2}{3} \right)^5\implies 8=s_1\cdot \cfrac{32}{243}\implies 8\cdot \cfrac{243}{32}=s_1\implies \boxed{\cfrac{243}{4}=s_1}$

5 0

3 years ago

How many times does 3 go into 52,507?

ruslelena [56]

Answer:

Step-by-step explanation:

52507 / 3 = 17502.333 or 17502 and 1/3

4 0

3 years ago

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Rafael is taking a test that contains a section of 12 true-false questions. how many of the possible groups of answers to these

stiv31 [10]

Answer: There are 495 possible different sets of answers the could contain exactly 8 correct answers of false.

Basically, we are looking for the number of different ways of selecting 8 objects out of a set of 12 objects. Our objects are answers of false and the set is the test.

This is a combination problem. The formula would be:

12! / (8! x 4!) = 495

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3 years ago

Finding lengths. Write similarity statements for three triangles in the diagram. then find the given length. Find HF

SOVA2 [1]

Answer:

HF = 15??

Step-by-step explanation:

i think the question is incorrect cause there's no solution, I've been struggling help u answer the question for 10 minute but... anyway please refer to the pic

4 0

2 years ago

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Find the distance between the points X and Y on the coordinate plane.

irina [24]

The answer is 9 (D)

:)

3 0

3 years ago