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2 years ago

Solve this for me (geometry) ? It asks if it’s yes or no.

Mathematics

1 answer:

zysi [14]2 years ago

7 0

Answer:

Yes, it is

Step-by-step explanation:

Given

The attached image

Required

Is AB a tangent to the circle

From the attached circle, we can see that AP is the radius of the circle P.

And by definition, a tangent touches the circle at only one point.

Since AB touches the circle at only point A, then AB is a tangent.

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Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec

vova2212 [387]

Given:

second term = 18

fifth term = 144

The nth term of a geometric sequence is:

$\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}$

Hence, we have:

$\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\ \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}$

Divide the expression for the fifth term by the expression for the second term:

$\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}$

Substituting the value of r into any of the expression:

$\begin{gathered} ar\text{ = 18} \\ a\text{ }\times\text{ 2 = 18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}$

Hence, the explicit rule for the sequence is:

$a_n\text{ = 9\lparen2\rparen}^{n-1}$

5 0

1 year ago

The coordinates of point P are (−3, 4). What are the coordinates of the point that is a reflection of point P over the y-axis? (

ahrayia [7]

The answer would be ( 3 , 4 )

7 0

2 years ago

Read 2 more answers

The set of points (1, 1), (2, 2), (3, 3) is collinear.

Pani-rosa [81]

Answer:

the answer will be True

Step-by-step explanation:

as the points match up to form a prefect straight line

3 0

2 years ago

A population is growing exponentially. If the starting population is 91, and the population

saw5 [17]

Answer:

what is that

Step-by-step explanation:

i don't understand the world

5 0

3 years ago

How do I solve this? Please show steps clearly so i can understand, thank you

Lesechka [4]

Answer:

The value of $x=8$ .

Step-by-step explanation:

Given:

$\frac{x+3}{x}-\frac{x+1}{x+4}=\frac{5}{x}$

We need to solve this equation.

Solution:

First combining equation having same denominators we get;

$\frac{x+3}{x}-\frac{5}{x}=\frac{x+1}{x+4}$

Now denominators are common so we will solve the numerators we get;

$\frac{x+3-5}{x}=\frac{x+1}{x+4}\\\\\frac{x-2}{x}=\frac{x+1}{x+4}$

Now by cross multiplication we get;

$(x-2)(x+4)=x(x+1)$

Now Applying distributive property we get;

$x^2+4x-2x-8=x^2+x\\\\x^2+2x-8=x^2+x$

Now Combining the like terms we get;

$x^2+2x-x^2-x=8\\\\x=8$

Hence on solving we get the value of $x=8$ .

3 0

2 years ago