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3 years ago

Find the 13th term of the geometric sequence 1,−2,4

Mathematics

1 answer:

SOVA2 [1]3 years ago

4 0

Answer:

4096

Step-by-step explanation:

Given

Geometric sequence 1,−2,4
First term = 1
Common difference = -2

13th term is:

1*(-2)^12 = 4096

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Answer:

16.6

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4 years ago

Combine like terms to create an equivalent expression. -1/2(-3y+10)

Studentka2010 [4]

Answer: 3/2y - 5

Step-by-step explanation:

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3 years ago

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Need help with inscribed angles If M

Bogdan [553]

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and $m\angle BCD=30^\circ$ .

To find:

The $m\angle AOB$ .

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

$\angle OBA\cong \angle BCD$ [Alternate interior angles]

$m\angle OBA=m\angle BCD$

$m\angle OBA=30^\circ$

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

We know that base angles of an isosceles triangle are congruent.

$\angle OAB\cong \angle OBA$ [Base angles of an isosceles triangle]

$m\angle OAB=m\angle OBA$

$m\angle OAB=30^\circ$

In triangle AOB,

$m\angle OAB+m\angle OBA+m\angle AOB=180^\circ$

$30^\circ+30^\circ+m\angle AOB=180^\circ$

$60^\circ+m\angle AOB=180^\circ$

$m\angle AOB=180^\circ-60^\circ$

$m\angle AOB=120^\circ$

Therefore, the measure of angle AOB is 120 degrees.

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3 years ago

Rewrite the following equation in standard form. y = -x-1

Effectus [21]

Answer:

x+y=-1

Step-by-step explanation:

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3 years ago

One leg of a triangle is 7 inches. another leg measures 5 inches. if the perimeter of the triangle is 19 inches, find the length

Setler79 [48]

SOLUTION

A triangle has three sides. The sides of this triangle are 7 inches, 5inches and the unknown side.

Let the unknown side be x inches.

Perimeter is distance around a plane shape.

The perimeter of this triangle is 19,

$\begin{gathered} \text{ That is the perimeter 1}9=7+5+x \\ 19\text{ = 12 }+x \\ x\text{ = 19 - 12 } \\ x\text{ = 7 inches } \end{gathered}$

Therefore, the other side is 7 inches

6 0

1 year ago