Answer:
(D)
Step-by-step explanation:
Slope : ( y2 - y1 )/( x2 - x1)
slope : ( -2 - 4 )/( - 3 + 4)
slope: ( -6 )/( 1 )
slope : -6
Triangle P isn't unique because all sides are equal and all interior angles are equal.
Answer:
24 trees per acre
Step-by-step explanation:
Let x be the optimal tree density per acre and y be the number of bushels yield per tree
Since for each unit change of x from 28 trees/acre, we have 2 unit change of y from 40 bushels per tree in the reversed direction
Change of x from 28 is x - 28
Change of y from 40 is y - 40
Therefore we have y - 40 = -2(x - 28) or y = 40 - 2(x - 28) = -2x + 96
The total bushels per acre should be y bushels/tree * x tree/acre. We want to optimize this. Substitute the above equation in for y and we have
To find the maximum value of this, we can take the first derivative and set it to 0
We know this is a maxima because 
. So T is maximum when x = 24 trees per acre
Answer:
1.5 times per second
(1 time per second if rounded to a whole number)
Step-by-step explanation:
1 minuet is equal to 60 seconds
Because you are given 88 vibrations in one minute, you will divide 88 by 60 seconds. You want your answer in seconds.
88/60 gives us 1.466666667 on a calculator
So the guitar gives a vibration of 1.466666667 per second
If we round this, we get 1.5 vibrations per second
Or, if we round 1.4666 to a whole number then it is 1 vibration per second
Answer:
Jonah formed a straight angle.
Step-by-step explanation:
- Acute angle is an angle less than 90 degrees.
- Obtuse angle is an angle greater than 90 but less than 180 degrees.
- Reflex angle is greater than 180
- Straight angle is equal to 180.
We know 3 angles of a triangle (no matter scalene, isosceles, right, equilateral triangle) sum up to 180 degrees. So, if Jonah were to cut of the 3 angles and put them points together, no overlap, he would eventually have a 180 degree angle, or a straight angle.
Jonah formed a straight angle.
