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3 years ago

The isosceles triangle has a perimeter of 7.5 m. Which equation can be used to find the value of x if the shortest side

Mathematics

2 answers:

soldier1979 [14.2K]3 years ago

7 0

Answer:

(7.5-2.1) /2

If the shortest side measures 2.1 m.

7.5-2.1 =5.4. Then divide by 2 each side is 2.7m

castortr0y [4]3 years ago

7 0

Answer:

The equation for finding the value of x is 2x + 2.1 = 7.5 and the value of x is 2.7 m.

Step-by-step explanation:

Perimeter of the isosceles triangle = 7.5 m

Length of the shortest side = 2.1 m

Let the length of each of the other sides of the triangle = x meter

Then the equation for the perimeter of the triangle becomes:

Sum of 3 sides f the triangle = 7.5 m

=> 2*x + 2.1 = 7.5

=> 2*x = 7.5 - 2.1 = 5.4

=> x = 5.4/2 = 2.7 m

So the relevant equation for finding the value of x is 2x + 2.1 = 7.5 and the value of x is 2.7 m.

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Step-by-step explanation:

Hello,

We need to express this parabola using this kind of expression

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Let's do it !

$\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }$

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Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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