Using the slope concept, it is found that the distance from point A to point B is of 465 feet.
<h3>What is a slope?</h3>
The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
To find the horizontal position at point A, we have that:
tan(10º) = 107/dA
dA = 107/tan(10º)
dA = 607.
For the horizontal position at point B, we have that:
tan(37º) = 107/dB
dB = 107/tan(37º)
dB = 142.
Hence the distance is given by:
D = dA - dB = 607 - 142 = 465.
More can be learned about the slope concept at brainly.com/question/18090623
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A) zeroes
P(n) = -250 n^2 + 2500n - 5250
Extract common factor:
P(n)= -250 (n^2 - 10n + 21)
Factor (find two numbers that sum -10 and its product is 21)
P(n) = -250(n - 3)(n - 7)
Zeroes ==> n - 3 = 0 or n -7 = 0
Then n = 3 and n = 7 are the zeros.
They rerpesent that if the promoter sells tickets at 3 or 7 dollars the profit is zero.
B) Maximum profit
Completion of squares
n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4
P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000
Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000
Maximum profit =1000 at n = 5
C) Axis of symmetry
Vertex = (h,k) when the equation is in the form A(n-h)^2 + k
Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000
Vertex = (5, 1000) and the symmetry axis is n = 5.
612/6=102
check: 6x102=612
Hope this helped! :))
Answer:
Step-by-step explanation:
Given
w is the classmate's weight in pounds
h is the height
The general formula for the expression is y = MX+c where
m is the slope
c is the intercept
M is the change in y to change in x
Comparing with the given equation
w = 6.5h - 275, we will see that the slope of the equation is 6.5 and can be expressed as the change in the classmate's height to the classmate's weight
slope = dh/dw = 6.5
Answer:
there are 5 strawberries
Step-by-step explanation:
4 x 5 =20 so that is 20 blue berries
and there are 4 blue berries for every one strawberry
and there are 5 groups of 4 blue berries which equals 5 strawberries
