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Reptile [31]
3 years ago
15

Find two numbers whose difference is 176 and whose product is a minimum.

Mathematics
1 answer:
Zanzabum3 years ago
8 0
Let the two required numbers be x and y, then x - y = 176, thus y = x - 176.

Let the product of the two numbers be represented by

P = xy x(x - 176) = x^2 - 176x

For the product to be minimum, \frac{dP}{dx} =0

\frac{dP}{dx} =2x - 176=0 \\  \\ \Rightarrow2x=176 \\  \\ \Rightarrow x=88

Thus, y = 88 - 176 = -88

Therefore, the two numbers are 88 and -88.
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Given the points K(-2;5), L(1,3) and M(-5; 2p). Calculate the value
Advocard [28]

The product of the perpendicular lines is a negative one. Then the value of p will be negative 3.75.

<h3>What is coordinate geometry?</h3>

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Given the points K(-2,5), L(1,3) and M(-5, 2p).

If KL is perpendicular to LM. Then we have

The slope of KL will be

KL = (1+2)/(3-5)

KL = -1.5

The slope of LM will be

LM = (1+6)/(3-2p)

LM = 7/(3-2p)

We know the product of the perpendicular lines is a negative one.

        KL x ML = -1

-1.5 x 7/(3-2p) = -1

              -10.5 = -3 + 2p

                 2p = -7.5

                   p = -3.75

More about the coordinate geometry link is given below.

brainly.com/question/1601567

#SPJ1

4 0
2 years ago
A motorcycle daredevil is planning a stunt to perform at a county fair. A ramp must be built to give him a 20%
Shkiper50 [21]

Answer: 95 feet

Step-by-step explanation:

Let the length of the horizontal run be represented by x.

Slope Grade = (Rise/Run) × 100

20 = (19/x) × 100

20 = 1900/x

20x = 1900

x = 1900/20

x = 95

Therefore, the length of the horizontal run must be 95 feet

5 0
3 years ago
I WILL GIVE BRAINLIST
puteri [66]
214.5

11x22=242
11x5/2=17.5
242-17.5=214.5
3 0
3 years ago
what is the approximate percent increase when the population of a town increases from 12089 to 15025? round the amounts to the n
bulgar [2K]
The rate of increase is
\frac{15025}{12089}\approx1.242865

The percent of increase is then
(1.242865-1)*100\%=0.242865*100\%=24.2865\%
6 0
3 years ago
Read 2 more answers
Pls help I need help why are
kari74 [83]
I believe they are about the similar in shape unless you have answers to them?
7 0
3 years ago
Read 2 more answers
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