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3 years ago

Find minimum value for the perimeter of the rectangle.

Mathematics

1 answer:

katrin [286]3 years ago

7 0

Answer:

possible lengths

45 and 2

3 and 20

5 and 18

15 and 6

10 and 9

there perimeter will be

answer to this question is 15 and 6

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Find the length of the leg of a right triangle if the length of one leg is 5 inches and the length of the hypotenuse is 10 inche

leonid [27]

Answer:

$\sqrt{75} =\sqrt{25*3} =5\sqrt{3}$

Step-by-step explanation:

4 0

3 years ago

2. Find the stationary points for the function

vovikov84 [41]

Answer & step-by-step explanation:

Stationary points are the points where the first derivative is equal to zero.

Let's calculate it using the power rule (exponent comes forward, decrease exponent by 1) and the fact that the derivative is a linear operation (that is $D[a\ f(x) + b\ g(x)] = a Df(x) + b Dg(x)$ )

The first derivative is then

$y' = \frac13 (3x^2) - \frac12 (2x) -6 = x^2-x-6 = (x+2)(x-3)$

Note that the last passage is not strictly needed, but it's really helpful to find stationary points, when in this next passage we set it equal to zero. Alternatively, you can use the quadratic formula if you can pull the factors out of your head right away.

$y'=0 \rightarrow (x+2)(x-3) = 0 \implies x=-2 || x=3$

These two point could be maxima, minima, or inflection points. To check them you can either see how the sign of the first derivative goes, or check the sign of the second derivative, as you're required.

The rules states that if the second derivative evaluated in that point is negative we have a maximum, if it's positive we have a minimum, and if we have a zero we keep derivating until we get a non-zero value.

In our case, the second derivative we get by calculating the derivative again and we get $y'' = 2x-1$ . Evaluating it at both points we get

$y''(-2) = 2(-2)-1 = -5\\y''(3) = 2(3) -1 = 5$

so -2 is a maximum and 3 is a minimum.

5 0

2 years ago

Read 2 more answers

Belinda will earn $46,000 her first year working as an interior designer with annual raises of 10%. What are her total earning a

Fed [463]

For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial gain
b: growth rate
t: time
Substituting values we have:
y = 46000 * (1.10) ^ t
For the year 7 we have:
y = 46000 * (1.10) ^ 7
y = 89640.9866
Answer:
her total earning at the end of 7 years are:
y = 89640.9866 $

7 0

4 years ago

Layla, Eliana and Nature each carried 10 pound bag of soil into the backyard. After putting soil in the first flower bed, Layla'

Ivanshal [37]

Answer: 17.75 pounds

Step-by-step explanation:

After putting soil in the first flower bed, Layla's bag was ⅝ full. The pound of soil will be: = 5/8 × 10 = 6.25 pounds

Eliana's bag was ⅖ full. The pound of soil will be: = 2/5 × 10 = 4 pounds

Nature's bag was ¾ full. The pound of soil will be: = 3/4 × 10 = 30/4 = 7.5 pounds

The number of pounds of soil that they put in the first flower bed altogether will be:

= 6.25 + 4 + 7.5

= 17.75 pounds

8 0

3 years ago

Ned and Jack are each saving money for a new smartphone. Ned initially has $65 and plans to save $5.50 per week. Jack does not h

julia-pushkina [17]

Answer:

I'm not sure exactly what you're looking but I would set up the equation like this.

y=65+5.5x for Ned's equation

y=8.75x for Jack's equation.

Step-by-step explanation:

This is in y=mx+b format, hopefully it helps!

7 0

3 years ago

Find minimum value for the perimeter of the rectangle.​

Find minimum value for the perimeter of the rectangle.