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Vladimir [108]
3 years ago
12

Which of the following tools can be used to prove a statement using coordinate methods?

Mathematics
1 answer:
baherus [9]3 years ago
6 0
All of the above can be used in order to prove a statement using coordinate methods.
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Rearrange the formula to make x the subject:<br> A = 1/2xy
Maslowich

Answer:

x = \frac{2A}{y}

Step-by-step explanation:

Given

A = \frac{1}{2} xy

Multiply both sides by 2 to clear the fraction

2A = xy ( divide both sides by y )

\frac{2A}{y} = x

3 0
3 years ago
There are 22 rows of seats on a concert hall: 23 seats are in the 1st row, 27 seats on the 2nd row, 31 seats on the 3rd row, and
JulijaS [17]
We can model this situation with an arithmetic series.
we have to find the number of all the seats, so we need to sum up the number of seats in all of the 22 rows.

1st row: 23
2nd row: 27
3rd row: 31
Notice how we are adding 4 each time.

So we have an arithmetic series with a first term of 23 and a common difference of 4.

We need to find the total number of seats. To do this, we use the formula for the sum of an arithmetic series (first n terms):

Sₙ = (n/2)(t₁ + tₙ)

where n is the term numbers, t₁ is the first term, tₙ is the nth term

We want to sum up to 22 terms, so we need to find the 22nd term

Formula for general term of an arithmetic sequence:

tₙ = t₁ + (n-1)d,

where t1 is the first term, n is the term number, d is the common difference. Since first term is 23 and common difference is 4, the general term for this situation is

tₙ = 23 + (n-1)(4)

The 22nd term, which is the 22nd row, is

t₂₂ = 23 + (22-1)(4) = 107

There are 107 seats in the 22nd row.

So we use the sum formula to find the total number of seats:

S₂₂ = (22/2)(23 + 107) = 1430 seats

Total of 1430 seats.
If all the seats are taken, then the total sale profit is

1430 * $29.99 = $42885.70
4 0
3 years ago
the sales tax rate in a city is 7% find the sales tax charged on a purchase of $850, then find the total cost.
blagie [28]

Answer:

59.5 sales tax, 909.5 total

Step-by-step explanation:

850 x .07 = 59.5

850 + 59.5 = 909.5

7 0
2 years ago
!!ASAP!!<br> 1.<br> 25<br> 40<br> 75<br> 2. <br> 40<br> 75<br> 140
Alexeev081 [22]

Answer:

C= 40

D= 75

Alternate interior angle

○●○●○●○●○

Hope it helps...

Have a great day!!!

6 0
3 years ago
Write all the terms of the following X+y+z​
lutik1710 [3]

Answer:

  • x
  • y
  • z

Step-by-step explanation:

The terms are the addends in the sum:

  x, y, z

4 0
3 years ago
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