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3 years ago

Please help me, i’ll mark brainliest

Mathematics

2 answers:

Gnom [1K]3 years ago

8 0

Answer:

Step-by-step explanation:

natali 33 [55]3 years ago

5 0

Answer:

The fourth one is correct

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Find an explicit form f(n) for each of the following arithmetic sequences (assume a is some real number and x is

Xelga [282]

Answer:

The explicit form f(n) is $a_{n} = a +(n-1)(a+1)$

Step-by-step explanation:

A sequence is arithmetic if the difference between each consecutive terms is a constant.

The explicit formula of an arithmetic sequence is:

$a_{n}=a_{1}+(n-1)d$

Where d is the common difference, a1 is the first term of the sequence and an is the nth term.

In order to obtain the common difference, you have to subtract two consecutive terms:

For the first and second terms:

2a+1 - a = a+1

For the second and third terms:

3a+2 - (2a+1)=

Applying the distributive property:

3a+2-2a-1= a+1

Notice that the difference of any two consecutive terms is the same. Therefore:

d=a+1

Also, a1=a (The first term)

Replacing in the explicit formula:

$a_{n} = a +(n-1)(a+1)$

4 0

4 years ago

What is the area of the composite figure if AB ≅ BC ≅ CD ≅ DA ≅ DN?

bekas [8.4K]

Answer:

Option 3. (2π + 40) mm².

Step-by-step explanation:

Area of the composite figure = area of MKCD + area of ABCD + area of semi circle with AB as diameter.

Then Area A = (DC + MK)/2 × DN + AB² + (1/2)×π×2²

= (4 + 8)/2 × 4 + 4² + (1/2)×π×4

= 24 + 16 + 2π = (2π + 40) mm²

Therefore option 3. (2π + 40) mm².

5 0

4 years ago

Read 2 more answers

The two sides of a triangle have lengths 4 and 10. The third side of the triangle can be?

spin [16.1K]

Answer:

10.77

Step-by-step explanation:

If you use the pythagorean theorem to find the hypotenuse, you should get 10.77

4 0

3 years ago

Draw out a two column proof for each problem below. Complete all problems on one page and upload ONE photo of the entire assignm

Hunter-Best [27]

Two or more triangles are congruent if on comparison, they have equal lengths of sides, and measure of angles.

Therefore, the required proofs for each question are shown below:

Problem 1:

Congruent triangles are triangles with equal lengths of corresponding sides and measures of internal angles.

Thus,

STATEMENT REASON

1. <NMQ ≅ <NPQ Any point on a perpendicular bisector

makes equal measure of angle with the

two ends of the line segment.

2. NQ ⊥ MP Definition of a line.

3. MQ ≅ PQ Equal segments of a bisected line.

4. MN ≅ PN Any point on a perpendicular bisector

is at the same distance to the

two ends of the line segment.

5. <MNQ ≅ <PNQ Equal measure of the bisected angle.

Problem 2:

A line segment is the shortest distance between two points.

STATEMENTS REASONS

1. m<PSR ≅ m<PSQ A perpendicular bisector is always at a right

angle to the bisected line segment.

2. m<RPS ≅ m<QPS Equal measure of the bisected angle.

3. RS ≅ QS Property of a bisected line segment.

4. PR ≅ PQ Any point on a perpendicular bisector

is at the same distance to the two ends of

the line segment.

For more clarifications on the perpendicular bisector of a line segment, visit: brainly.com/question/12475568

#SPJ1

3 0

2 years ago

What is -4x+3y=23 x-y=-7

Maru [420]

Step-by-step explanation:

Solve linear equation two variable

7 0

3 years ago