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AleksandrR [38]
3 years ago
7

When completing the square on the equation c 2 11c = 12, the resulting equation is:

Mathematics
1 answer:
QveST [7]3 years ago
6 0
C^2 + 11c = 12

c^2 + 2[11/2] c = 12

[c + 11/2] ^2 - [11/2]^2 = 12

[c +11/2]^2 = 12 +[11/2]^2

[c +11/2]^2 = 12 + 121/4

[c +11/2]^2 =[48+121]/4

[c +11/2]^2 = 169/4  ----> This is the resulting equation

Solving it you get:

c + 11/2 = +/- √(169/4)

c + 11/2 = +/- 13/2

c = 13/2 - 11/2 =2/2 = 1 and

c = -13/2 - 11/2 = - 24/2 = -12

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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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6 0
2 years ago
The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
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.



8 0
3 years ago
What is 6 divided by 612
kondaur [170]
612/6=102
check: 6x102=612

Hope this helped! :))
8 0
3 years ago
Read 2 more answers
Isaac creates a scatter plot showing the association between the height and weight of his male
Black_prince [1.1K]

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

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8 0
3 years ago
Item 6 A bowl contains blueberries and strawberries. There are a total of 20 berries in the bowl. The ratio of blueberries to st
Fiesta28 [93]

Answer:

there are 5 strawberries

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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

5 0
3 years ago
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