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2 years ago

Find the 9th term of the geometric sequence -8x^5,-32x^6,-128x^7...

Mathematics

1 answer:

zysi [14]2 years ago

7 0

Answer:

-524288^13

Step-by-step explanation:

4: - 512^8

5: -2048^9

6: - 8192^10

7: - 32768^11

8: - 131072^12

9: - -524288^13

Formula:

-n×4^1,2,3......

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In the diagram below, GH is parallel to DE . If GH is 3 more than EH FH=10, and DE=12 find the length of EH. Figures are not nec

steposvetlana [31]

Answer: 5

Step-by-step explanation:

Since $\overline{GH} \parallel \overline{DE}$ , by the corresponding angles theorem, $\angle FGH \cong \angle FDE, \angle FHG \cong \angle FED$ . This means $\triangle FGH \sim \triangle FDE$ by AA.

As corresponding sides of similar triangles are proportional,

$\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5$
However, as distance must be positive, we consider the positive solution, x=5.

Therefore, the answer is <u>5</u>

6 0

1 year ago

(2, -4), (x, y) , A , and B all lie on the line. Find an equation relating x and y.

frutty [35]

Answer:

An equation relating x and y is:

y = 3/4x - 5.5

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the points

(2, -4), (x, y), A(6, -1), and B(10, 2)

Taking any two points let say A(6, -1), and B(10, 2) to determine the slope

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(6,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:2\right)$

$m=\frac{2-\left(-1\right)}{10-6}$

Refine

$m=\frac{3}{4}$

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = -5.5

Thus, the y-intercept b = -5.5

Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation

y = mx+b

y = 3/4x + (-5.5)

y = 3/4x - 5.5

Therefore, an equation relating x and y is:

y = 3/4x - 5.5

8 0

2 years ago

For every 13 birds born at the zoo there are two animals born. There were 44 if you were animals born last month then birds so h

Daniel [21]

The ratio birds : animals = 13 : 2
so for every 1 animal, 6.5 birds were born

last month: animals = birds - 44
birds - animals = 44
use trial and improvement to find:
if there were 52 birds, there must be 8 animals
CHECK: 52 - 8 = 44

4 0

2 years ago

Help 20 points!

balandron [24]

Minor angle, The arc it produces is less than 180 degrees so it is a minor angle

8 0

3 years ago

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nekit [7.7K]

Answer:

368.47