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3 years ago

Is Y=x-3 and x-y=8 parallel perpendicular or neither

Mathematics

1 answer:

Vinvika [58]3 years ago

6 0

The two lines are parallel

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The scott family wants to fill up their swimming pool to the very top with water.The length of the pool is 50 meters annd the wi

inn [45]

Answer:

12,500 meters cubed

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

4 0

4 years ago

Arrange the events in Polish history in chronological order using the numbers 1-6.

Basile [38]

Answer:

Yan po para sa akin.

4 0

3 years ago

Read 2 more answers

Find three pairs of equivalent fractions

Mrrafil [7]

1/3 : 2/6
1/2 : 2/4
15/31 : 45/93

hope this helps (;

7 0

3 years ago

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In the first week students at RSM solved 25 percent of their monthly quota of problems. In the second week, they solved 110 perc

natka813 [3]

Answer:

The number of problems solved = 2000

Step-by-step explanation:

Let us assume the monthly quota of problems be x

number of problem solved in first week = 25 % of x = $0.25x$

number of problems solved in 2nd week = 110% of (problems solved in 1st week)

= $1.10 (0.25x)$

= $0.275x$

number of problem solved 3rd week= 60% of ( problems solved in 1st and 2nd week)

= $0.60(0.25x+0.275x)$

= $0.60(0.525x)$

= $0.315x$

number of problem solved in 4th week = $320$

now we have

number of problems solved in ll 4 weeks = x

$0.25x +0.275x+0.315x+320=x$

$0.84x+320=x$

$320=x-0.84x$

$320=0.16 x$

$x=\frac{320}{0.16}$

$x=2000$

Hence the number of problems solved = 2000

7 0

4 years ago