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Maurinko [17]
2 years ago
7

What is the value of x?

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
3 0

Answer:

x = 3 sqrt 2

Step-by-step explanation:

We know that this is a 45, 45m 90 special right triangle. In this special right triangle the side lengths are x, x and the hypotenuse is x sqrt 2 (we can prove this using pythagoreans theorem). 6 is the hypotenuse, meaning that it is equal to x sqrt 2:

6 = x sqrt 2

x = 6/sqrt 2

Rationalize the denominator:

x = (6 sqrt 2)/2

x = 3 sqrt 2

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Suppose you have a water-balloon launcher. The balloon is 3 ft high when it leaves the launcher. Use the equation 0 = ?16t2 + 38
mario62 [17]

Answer:

t = 2.5 s

Step-by-step explanation:

Suppose you have a water-balloon launcher. The balloon is 3 ft high when it leaves the launcher. Its equation is :

16t^2 + 38.8t + 3 =0

The above equation is a quadratic equation. The general equation is :

ax^2+bx+c=0

Here, a = 16, b = 38.8 and c = 3

The solution of quadratic equation is given by :

x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\t=\dfrac{-38.8\pm \sqrt{(38.8)^2-4\times (-16)\times 3} }{2\times (-16)}\\\\t=\dfrac{-38.8+\sqrt{(38.8)^{2}-4\times-16\times3}}{-2\times16}, \dfrac{-38.8-\sqrt{(38.8)^{2}-4\times-16\times3}}{-2\times16}\\\\t=-0.075\ s,2.5\ s

So, at t = 2.5 s the balloon is in air.

8 0
2 years ago
30+86=2+5(56-8) please help
777dan777 [17]
It’s a zero solution
8 0
3 years ago
Read 2 more answers
the average adult horse needs 2/5 bale of hay each day to meet dietary requirements. A horse farm has 44 bales of hay?
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How many 2/5's fit into 44
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6 0
2 years ago
Without dividing, select the number that is divisible by 3.
Fittoniya [83]

Answer:

The answer is B: 1125

Step-by-step explanation:

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Y = 4x
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y=-1.5x+5, m=-1.5, b=5

Since this has a different slope they are intersecting lines...
4 0
3 years ago
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