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2 years ago

Find the value of x is this problem.

Mathematics

1 answer:

DedPeter [7]2 years ago

4 0

Notice the picture below

recall the "inscribed angle theorem"

now... notice your picture, "x" is just the intercepted arc

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Which answer describes the type of sequence? 200, 40, 8, 1.6, ...

GalinKa [24]

Answer:

Option 1 the given sequence is a geometric.

Step-by-step explanation:

We have been given with the series

$200,40,8,1.6$

Arithmetic sequence is the sequence in which difference between consecutive terms is same that is common difference d

$d=a_2-a_1$

$d=40-200=-160$ here $a_2=40,a_1=200$

$d=8-40=-32$ here $a_2=8,a_1=40$

We can see the difference is not same

Hence, the given sequence is not arithmetic sequence.

Geometric sequence is the sequence in which ratio of consecutive terms is same that is common ratio r

$r=\frac{a_2}{a_1}$

$r=\frac{40}{200}=\frac{1}{5}$ here $a_2=40,a_1=200$

$r=\frac{8}{40}=\frac{1}{5}$ here $a_2=8,a_1=40$

$r=\frac{1.6}{8}=\frac{1}{5}$ here $a_2=1.6,a_1=8$

We can see the ratio is same.

Hence, given sequence is geometric

Therefore, Option 1 is correct given sequence is geometric.

7 0

3 years ago

Jack practices his trumpet every 3days. he goes for a run every 4 days. if he did both today, in how many more days will he prac

LekaFEV [45]

7 because it is within a week according to my guest

8 0

3 years ago

What is the equation for the line in slope intercept form plz help ASAP

Lubov Fominskaja [6]

Answer:

y = - 4x + 5

Step-by-step explanation:

y = mx + b

(0, b) y-intercept

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

~~~~~~~~~~

( - 2, 13)

(0, 5) <----- y-intercept

(3, - 7)

(4, - 11)

m = $\frac{-11+7}{4-3}$ = - 4

y = - 4x + 5

4 0

3 years ago

The equation y 16t 2 18t 405 describes the height in feet of a ball thrown downward at 18 feet per second from a height of 405 f

kumpel [21]

Answer:

Ball hits the ground after 4.5 sec

Step-by-step explanation:

Let a -1, so that the leading coefficient is positive

So our quadratic is

$-1 \times (16t^2 +18t -405)$

The key coefficients of two binomial variables can be 1 and 16, or 2 and 8, or 4 and 4, for the leading coefficient of 16.

Yet they can't actually be 4 and 4 because the linear (x) term coefficient has to be a multiple of 4, which it isn't and leading coefficients 1 and 16 on the binomial factors is not likely.

So, 2 and 8 taken as the leading coefficients of two binomial factors.

For constant 405, possible factorizations are $(81\times 5, 27 \times 15, 9 \times 45).$

$(16t^2 +18t -405) = (8t + 45) (2t - 9)$

Taking first factor, thus we find negative value for given time t. But second time equivalent to zero gives the value of 4.5 for t

Thus ball hits the ground after 4.5 sec

3 0

3 years ago

The equation y = 5 represents the graph of a line perpendicular to the y-axis and passing through the point (1,5).

DedPeter [7]

Answer:

False

Step-by-step explanation:

A perpendicular line parallel to the y- axis has equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (1, 5) with x- coordinate 1, thus

x = 1 ← equation of perpendicular line

7 0

3 years ago

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