Answer:
c. (3, 2)
Step-by-step explanation:
Equating the values of y :
- -x + 5 = x - 1
- x + x = 5 + 1
- 2x = 6
- <u>x = 3</u> [x-coordinate of the solution]
Finding y by substituting x in one of the equations :
- y = x - 1
- y = 3 - 1
- <u>y = 2</u> [y-coordinate of the solution]
Solving :
- Solution = (x, y)
- Solution = (3, 2)
Answer: option D is the correct answer
Step-by-step explanation:
In the given sequence, the consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 351
d = - 343 - - 351 = - 343 + 351
d = 8
Therefore, the explicit function which defines the sequence is
f(n) = - 351 + 8(n - 1)
f(n) = 8n - 8 - 351
f(n) = 8n - 359
Hey there :)
We know the volume formula of a triangular prism
Volume = base area × height of prism
We are given:
Base of triangle = 5 ft
Height of triangle = 3 ft
Height of prism = 7.5 ft
Apply the formula
V =
( 5 )( 3 ) × 7.5
= 7.5 × 7.5
= 56.24 ft³
<span>2,000 pounds are a short ton also sometimes referred to as an English ton. Your 20,000 pounds are therefore 10 short tons. By contrast the Metric ton is 1,000 kg or 2,204 American pounds.
2000 pounds = 1 short ton
2240 pounds = 1 long ton</span>
