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3 years ago

(2,-4), (x,\ y), A, and B all lie on the line. Find an equation relating x and y.

Mathematics

1 answer:

Olin [163]3 years ago

4 0

Answer:

I can't see the picture, sorry. :(

Step-by-step explanation:

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Write the first 5 terms of the recursive sequence defined below. a1=0 an=2(an-1)²-1, for n>1

Aleksandr-060686 [28]

Answer:

0, -1, 1, 1, 1

Step-by-step explanation:

Given recursive formula

a₁ = 0
aₙ = 2(aₙ₋₁)² - 1, for n>1

The first 5 terms are:

a₁ = 0
a₂ = 2(0)² - 1 = 0 - 1 = -1
a₃ = 2(-1)² - 1 = 2 - 1 = 1
a₄ = 2(1)² - 1 = 2 - 1 = 1
a₅ = 2(1)² - 1 = 2 - 1 = 1

7 0

3 years ago

What was the impact of the olive branch petition

gizmo_the_mogwai [7]

It failed to bring about peace and only angered King George III

The Olive Branch petition was a final attempt by the colonists to avoid going to war with Britain. The purpose was to appease King George III and prevent the conflict between the colonies and Britain from escalating into a full blown war. However, the king refused to read it. And then came the war.

5 0

4 years ago

The sum of three numbers is 8. The third is 9

Ierofanga [76]

Answer:

→ First value is 1

→ Second value is 2

→ Third value is 5

Step-by-step explanation:

• let numbers be x, y and z

${ \tt{z = 8y - 9 - - - (eqn \: 1)}} \\ \\ { \tt{10x = 8y - 7 - - - (eqn \: 2)}} \\ \\ { \tt{x + y + z = 8 - - - (eqn \: 3)}}$

• from eqn 2, make x the subject:

${ \tt{x = \frac{8y - 7}{10} }} \\$

• substitute all variables in eqn 3:

${ \tt{ \frac{8y - 7}{10} + y + 8y - 9 = 8}} \\ \\ { \tt{8y - 7 + 10y + 80y - 90 = 80}} \\ \\ { \tt{98y = 177}} \\ \\ { \boxed{ \tt{ \: y = 1.8}}}$

• find z

${ \tt{z = 8y - 9}} \\ \\ { \tt{z = 8(1.8) - 9}} \\ \\ { \tt{z = 14.4 - 9}} \\ \\ { \boxed{ \tt{ \: z = 5.4 \: }}}$

• find x:

${ \tt{x = \frac{8(1.8) - 7}{10} }} \\ \\ { \tt{x = \frac{7.4}{10} }} \\ \\ { \boxed{ \tt{ \: x = 0.74 \: }}}$

Rounding to nearest value:

${ \boxed{ \rm{x = 1}}} \\ { \boxed{ \rm{y =2 }}} \\ { \boxed{ \rm{z = 5}}}$

7 0

3 years ago

Can someone help me find x and y using the 30-60-90 theorem

Fittoniya [83]

X is radical 3
y is 2 radical 3

6 0

4 years ago

In a standard deck of cards, how many different sets of 4-of-a-kind are there?

attashe74 [19]

There are 13 different 4 of a kinds.
4 aces 4 twos 4 threes 4 fours 4 fives 4 sixes 4 sevens 4 eights 4 nines 4 tens
1 2 3 4 5 6 7 8 9 10
4 jacks 4 queens 4 kings
11 12 13
The answer is 13 different sets.
I hope this helps :)

8 0

4 years ago