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3 years ago

80 pts! Solve the equation. Please select the best answer from the choices provided.

Mathematics

1 answer:

Flauer [41]3 years ago

5 0

Answer:

Step-by-step explanation:

We can first move the variables to one side.

We can do this by subtracting 6x from both sides.

12x^2-6x=0

Now, we can factor out 6x.

6x(2x-1)=0

Since it equals 0, we know that 2x-1=0, or 6x=0.

This is because when ab=0, either a or b must equal 0.

So we can set both of these equal to 0 to solve.

6x=0

Divide both sides by 6.

x=0

2x-1=0

Add 1 to both sides.

2x=1

Divide both sides by 2.

x=1/2

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The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.

Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

$y = 11 + x$

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

$y^2 = x^2 + x^2$

$y^2 = 2x^2$

This gives:

$(11+x)^2 = 2x^2$

Open bracket

$121 + 22x + x^2= 2x^2$

Collect like terms

$2x^2 - x^2 -22x - 121 = 0$

$x^2 -22x - 121 = 0$

Using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}$

$x = \frac{-(-22)\±\sqrt{968}}{2*1}$

$x = \frac{22\±31.11}{2}$

Split

$x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\$

$x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}$

x can not be negative.

So:

$x = \frac{53.11}{2}$

$x = 26.56$

Recall that:

$y = 11 + x$

$y = 11 + 26.56$

$y = 37.56$

Hence, the dimensions are:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

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2 years ago

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yanalaym [24]

Answer:

yea dude thats a whole project you cant just put it on brainly and expect us to do it for you. stop being lazy and abusing the website

Step-by-step explanation:

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2 years ago

Which ordered pair is a solution to the equation? -7x+3y=2

Reptile [31]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Kevin hiked up lambs Canyon and two hours and then ran back down in one hour has been running downhill was 2.8 mph greater than

coldgirl [10]

Answer: he hiked 5.6 miles up the canyon.

Step-by-step explanation:

Let x represent his speed hiking uphill.

His speed running downhill was 2.8 mph greater than his speed hiking uphill. This means that his speed running downhill would be x + 2.8

Distance = speed × time

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Since the distance uphill is the same as the distance downhill, then

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3 years ago

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Oksanka [162]

Answer:

Step-by-step explanation:

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2 years ago