Find the common ratio for the geometric sequence -24, -12, -6

Mathematics

1 answer:

Alenkasestr [34]2 years ago

6 0

Every time they are divided by 2

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7. Triangles CDE and RST are similar triangles. What is

andreyandreev [35.5K]

Answer:

CD = 25 ft

Step-by-step explanation:

$\triangle CDE \sim \triangle RST$

$\therefore \frac{CD}{20}=\frac{40}{32}$

(Corresponding sides of similar triangles are in proportion)

$\therefore \frac{CD}{20}=\frac{5}{4}$

$\therefore CD = \frac{5}{\cancel 4}\times \cancel {20} \:\:\blue{\bold{5}}$

$\therefore CD = 5\times 5$

$\therefore CD = 25\: ft$

6 0

2 years ago

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2 yards and 60 inches in ratio

arsen [322]

2yrds:60in is the answer

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2 years ago

Make a table of values and create a line of best fit

Anni [7]

<h2>Explanation:</h2><h2></h2>

Hello! remember you have to write complete questions in order to get good and exact answers. Here I'll explain this in a general way assuming the following table:

$\begin{array}{cc}x & y\\0 & 0\\1 & 2\\2 & 4\\3 & 6\\4 & 8\\5 & 10\end{array}$

As you can see, x increases in steps of 1 units. So let's check the difference in y:

$\bullet \ \text{From x=0 to x=1} \\ \\ \Delta y=2-0=2 \\ \\ \\ \bullet \ \text{From x=1 to x=2} \\ \\ \Delta y=4-2=2 \\ \\ \\ \bullet \ \text{From x=2 to x=3} \\ \\ \Delta y=6-4=2 \\ \\ \\ \bullet \ \text{From x=3 to x=4} \\ \\ \Delta y=8-6=2 \\ \\ \\ \bullet \ \text{From x=4 to x=5} \\ \\ \Delta y=10-8=2$

So we have a constant difference and we can conclude the table represents a line. Since the line passes through then y is directly proportional to x, so we can write:

$y=kx \\ \\ Where: \\ \\ k \ is \ constant \ of \ proportionality \ or \ the \ slope$