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2 years ago

Find the perimeter of the parallelogram shown. PLEASE HELP

Mathematics

1 answer:

Andreyy892 years ago

5 0

Answer:

Step-by-step explanation:

for perimeter just add up the side

9+14+9+14 or 9+14 = 23 then 23* 2 =46

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At what point does the curve have maximum curvature? Y = 4ex (x, y) = what happens to the curvature as x → ∞? Κ(x) approaches as

MAXImum [283]

Answer-

At $x= \frac{1}{2304e^4-16e^2}$ the curve has maximum curvature.

Solution-

The formula for curvature =

$K(x)=\frac{{y}''}{(1+({y}')^2)^{\frac{3}{2}}}$

Here,

$y=4e^{x}$

Then,

${y}' = 4e^{x} \ and \ {y}''=4e^{x}$

Putting the values,

$K(x)=\frac{{4e^{x}}}{(1+(4e^{x})^2)^{\frac{3}{2}}} = \frac{{4e^{x}}}{(1+16e^{2x})^{\frac{3}{2}}}$

Now, in order to get the max curvature value, we have to calculate the first derivative of this function and then to get where its value is max, we have to equate it to 0.

${k}'(x) = \frac{(1+16e^{2x})^{\frac{3}{2} } (4e^{x})-(4e^{x})(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})}{(1+16e^{2x} )^{2}}$

Now, equating this to 0

$(1+16e^{2x})^{\frac{3}{2} } (4e^{x})-(4e^{x})(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x}) =0$

$\Rightarrow (1+16e^{2x})^{\frac{3}{2}}-(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})$

$\Rightarrow (1+16e^{2x})^{\frac{3}{2}}=(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})$

$\Rightarrow (1+16e^{2x})^{\frac{1}{2}}=48e^{2x}$

$\Rightarrow (1+16e^{2x})}=48^2e^{2x}=2304e^{2x}$

$\Rightarrow 2304e^{2x}-16e^{2x}-1=0$

Solving this eq,

we get $x= \frac{1}{2304e^4-16e^2}$

∴ At $x= \frac{1}{2304e^4-16e^2}$ the curvature is maximum.

6 0

3 years ago

Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisecto

elena-14-01-66 [18.8K]

A bisector is a line that divides either a line or an angle into two proportionate parts or angles. Thus, Anton's bisector would divide the segment into two equal parts, while Maxim's bisector would divide the angle into two equal angles.

The similarities between their construction are:

Intersecting arcs through which the bisector would pass are required.
The arcs are dawn using the same radius of any measure.
The edges of the arc of the given angle, and the ends of the segment are used as centers.

The differences between their construction are:

Anton has to draw two intersecting arcs above and below the segment. While Maxim would draw two intersecting arcs within the lines forming the angles.
Anton's bisector would be perpendicular to the segment, while Maxim's bisector would be at an angle which is half of the initial angle.

Visit: brainly.com/question/17247176

3 0

2 years ago

Andrea's living room floor is a rectangle 12 feet by 15 feet. She wants to buy a rug that is geometrically similar to her living

Sliva [168]

Answer:

180 square feet

Step-by-step explanation:

A rug that is geometrically similar to her room floor is one that has the same size as her room floor.

The floor has dimensions 12 feet by 15 feet.

The area of the floor and hence, the rug is:

A = 12 * 15 = 180 square feet

She should buy a rug that is 180 square feet

7 0

3 years ago

Please help u don't get it #begging

Jobisdone [24]

33.C
34.C
Those are the answers

4 0

3 years ago

Multiply the equation 2x+2y=8 by 3. Does the equation have the same solution set?

stepan [7]

Multiply the equation:

$2x+2y=8 \mapsto 6x+6y=24$

The solution set is the same, because multiplying both sides of an equation by a non-zero number doesn't change the solution set. In fact, if you rewrite the equation as

$2x+2y-8=0$

Multiplying this by 3 (or whatever number, for all it matters) gives

$3(2x+2y-8)=0$

Now, a product is zero if and only if at least one of the factor is zero. So, either $3=0$ or $2x+2y-8=0$

Since the first is clearly impossible, the second one must be true, which is the original equation.

3 0

3 years ago