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3 years ago

What number must you add to complete the square?

Mathematics

1 answer:

Mila [183]3 years ago

6 0

Answer:

D. 49

Step-by-step explanation:

When completing the square, you take the value after x^2 which is 14 and divide it by 2 which equals 7 for which you then square that number which 7 times 7 = 49

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Use algebra to simplify the expression before evaluating the limit. In particular, factor the highest power of n from the numera

bija089 [108]

Answer:

a) {2/n²-7/n+9}/{8+2/n-6/n²}

b) 9/8

c) The sequence converges

Step-by-step explanation:

Given the limit of the function

limn→[infinity]2−7n+9n²/8n²+2n−6

To simplify the function given, we will have to factor out the highest power of n which is n² from the numerator and the denominator. The function will then become;

2−7n+9n²/8n²+2n−6

= n²{2/n²-7/n+9}/n²{8+2/n-6/n²}

The n² at the numerator will then cancel out the n² at the denominator to have resulting simplified equation as;

{2/n²-7/n+9}/{8+2/n-6/n²}

Evaluating the limit of the resulting equation will give;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

Note that limn→[infinity] a/n = 0 where a is any constant.

Therefore;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

= (0-0+9)/(8+0-0)

= 9/8

Since the limit of the sequence gives a finite value which is 9/8, thus the sequence in question is a convergent sequence.

The limit of a sequence only diverges if the limit of such sequence is an infinite value.

5 0

4 years ago

Find the distance between A (2.6) and N (5,10). Round to the nearest tenth, if necessary.

Triss [41]

Answer:

Step-by-step explanation:

6 0

3 years ago

What are the answers for 7 and 8??? please help

wolverine [178]

Answer:

7.)

Therefore FT is 33 unit.

8.)

Therefore SU is 98 unit.

Step-by-step explanation:

7.)

Given:

ΔFUT ~ ΔFHG

FU = 39

FH = 130

FG = 110

To Find:

FT = ?

Solution:

ΔFUT ~ ΔFHG ............Given

If two triangles are similar then their sides are in proportion.

$\dfrac{FU}{FH} =\dfrac{FT}{FG} \textrm{corresponding sides of similar triangles are in proportion}\\$

Substituting the values we get

$\dfrac{39}{130} =\dfrac{FT}{110}\\\\FT=\dfrac{110\times 39}{130}=33\\FT=33\ unit$

Therefore FT is 33 unit.

8.)

Given:

ΔSTU ~ ΔFED

ST= 63

FE = 9

FD = 14

To Find:

SU = ?

Solution:

ΔSTU ~ ΔFED ............Given

If two triangles are similar then their sides are in proportion.

$\dfrac{ST}{FE} =\dfrac{SU}{FD} \textrm{corresponding sides of similar triangles are in proportion}\\$

Substituting the values we get

$\dfrac{63}{9} =\dfrac{SU}{14}\\\\SU=\dfrac{882}{9}=98\\\\SU=98\ unit$

Therefore SU is 98 unit.

5 0

3 years ago

Identify the slope and y-intercept of the lins given by the equation y=2x 1.

VLD [36.1K]

Answer 2 I took the test

3 0

3 years ago

Judy Ring purchased a watch with a retail price of $8,000. She still has to pay a sales tax of 6% and an excise tax of 10%. Sinc

Bumek [7]

The total purchase price of the watch is: $9,300

$8,000 + (0.06 × $8,000) + (0.10 × 8,000) + $20

$8,000 + $480 + $800 + $20

7 0

4 years ago

Read 2 more answers