Answer:
the slope is POSITIVE (answer A)
Step-by-step explanation:
The line goes through: (-1, -2) and ( 2, 1)
Then the slope can be calculated as:
slope = (y2 - y1) / (x2 - x1)
in our case:
slope = (1 - -2) / (2 - -1) = (1 + 2) / (2 + 1) = 3 / 3 = 1
Therefore, the slope is POSITIVE (answer A)
Answer:
4,000 meters
Step-by-step explanation:
The conversion from kilometers to meters is 1 kilometer equals 1,000 meters. So times the conversion by 4 to get 4,000 meters.
Answer:
1:4
Step-by-step explanation:
4 ÷ 4 = 1
16 ÷ 4 = 4
4:16 ratio simplified is 1:4
Answer:
x=20
The side lengths form a 345 triple
Step-by-step explanation:
345 triangles have 3, 4, and 5 as their lengths
If we divide all of them by 4 we get..
12/4=3 and 16/4=4 that means we are missing 5
5*4=20
Answer:
1806 seats.
Step-by-step explanation:
From the question given above, the following data were obtained:
Row 1 = 24 seats
Row 2 = 27 seats
Row 3 = 30 seats
Total roll = 28
Total number of seat =?
From the above data, we can liken the roll to be in arithmetic progress.
Also, we are asked to determine the total number of seats in the theater.
Thus the sum of the sequence can be written as:
Roll 1 + Roll 2 + Roll 3 +... + Roll 28 i.e
24 + 27 + 30 +...
Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:
First term (a) = 24
Common difference (d) = 2nd term – 1st term
Common difference (d) = 27 – 24 = 3
Number of term (n) = 28
Sum of the 28th term (S₂₈) =?
Sₙ = n/2 [2a + (n –1)d]
S₂₈ = 28/2 [2×24 + (28 –1)3]
S₂₈ = 14 [48 + 27×3]
S₂₈ = 14 [48 + 81]
S₂₈ = 14 [129]
S₂₈ = 1806
Thus, the number of seats in the theater is 1806.