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3 years ago

Triangle def is equilateral. If the perimeter of def is 36, the length of de is 5x-8, then what is the value of x

Mathematics

1 answer:

My name is Ann [436]3 years ago

3 0

Answer:

Step-by-step explanation:

All the sides of an equilateral triangle are equal, hence the perimeter is expressed as P = 3s

s is one of the side length

Given DE = 5x - 8

P = 3DE

P = 3(5x-8)

36 = 3(5x-8)

36/3 = 5x-8

12 = 5x - 8

5x = 12+9

5x = 20

x = 20/4

x = 4

Hence the value of x is 4

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umka2103 [35]

Answer:

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Step-by-step explanation:

Let us consider the equation $y=x^2-6x+5$

For a quadratic equation in a standard form, $y=ax^2+bx+c$ , the axis of symmetry is the vertical line $x = \frac{-b}{2a}$ .

Here in this case we have, $a=1, b=-6 , c =5$

Putting the values we get,

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We can see that the axis of symmetry is x=3 and the graph is giving minimum at x=3.

Therefore, the required equation is $y=x^2-6x+5$ . Refer the image attached.

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3 years ago

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2) 4 6 2 3 If L= | 5 8 and M= 1 4 3 -2 -5 3 3 Find L-M -)) 2 4 8 A ) 3 4 5 2 3 B) 4 4 8 -5 6 9 o 6 12 -2 1 6 6 2 D) 9 12 1

Misha Larkins [42]

$\\ \sf\longmapsto L-M$

Put values

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Just substract corresponding terms

$\\ \sf\longmapsto \left[\begin{array}{cc}\sf 2 &\sf 3\\ \sf 4&\sf4\\ \sf 8&\sf -5\end{array}\right]$

Option B

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3 years ago

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dimaraw [331]

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Step-by-step explanation:

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3 years ago

Find the area???????

Naily [24]

It's obviously none of the above because the true area will have a square root of 3 in it because of the equilateral triangle. They want us to find the approximate area. When I was in school the difference between an approximation and the exact answer was greatly stressed but that seems to be fading of late.

That's a rectangle less an equilateral triangle. The area of an equilateral triangle is $\dfrac{\sqrt{3}}{4} s^2$ which is easily derived but I won't bother here.

$A = 18(8) - \dfrac{\sqrt 3}{4} (8^2) = 144 - 16 \sqrt 3 \approx 116.3$

Answer: b

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