Answer:
The answer is 15.625 square meters per day.
Step-by-step explanation:
To solve this, divide the amount (500) by the amount of time it took to do it (32 days), which gives you 15.625 square meters per day.
Write the word problem in algebraic form:
n2 -14 = 5n
Write as a quadratic:
n2 - 5n - 14 = 0
Factor:
(n+2)(n-7) = 0
Solve:
n+2 = 0 => n = -2
n-7 = 0 => n = 7
positive solution is 7. (14 less than 72 = 35 which is also 5 times 7)
Answer:
B. MN, NO, OM
Step-by-step explanation:
Recall: In any triangle, the sides and the angles are related in the following way:
*The largest angle and the longest side are opposite each other
*The medium angle and the mid-sized side are opposite each other
*The smallest angle and the shortest side are opposite each other
In ∆MNO, we are given that
m<M = 57° which is opposite to side NO
m<N = 75° which is opposite to side OM
m<O = 180° - (75° + 57°) (sum of triangle)
m<O = 48° which is opposite to side MN
Therefore, we can write the order of shortest to longest side in relation to their opposite angles as follows:
MN, NO, OM
2x + By = 15
We solve for y to put the equationj in the y = mx + b form in which b is the y-intercept.
By = -2x + 15
y = -2/Bx + 15/B
The y-intercept is 15/B, and we are told the y-intercept is 5.
15/B = 5
15 = 5B
B = 3
Answer: E. 3