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3 years ago

Find the length of the missing side. Leave your answer in simplest radical form.

Mathematics

1 answer:

vichka [17]3 years ago

7 0

Answer:

the missing leg length is 2√70.

Step-by-step explanation:

This is a right triangle in which the hypotenuse is 19 ft and one of the legs is 9 ft. Using the Pythagorean Theorem, we find the length of the other leg:

x^2 = (19 ft)^2 - (9 ft)^2 = 361 - 81 = 280, or 4*70

Then the missing leg length is √4√70, or 2√70.

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Which ordered pair (x, y) satisfies the system of equations? 1/2 x − 1/4 y = 10 1/8 x − 1/8 y = 19

zlopas [31]

Answer:

-36,-192

Step-by-step explanation:

5 0

2 years ago

X²+y²-6x+14y-1=0<br> and please show your work so I can learn

Eva8 [605]

Hello there,

I hope you and your family are staying safe and healthy during this winter season.

$x^2 + y^2 -6x+14y-1=0$

We need to use the Quadratic Formula*

$x =\frac{-b+\sqrt{b^2}-4ac }{2a}$ , $\frac{-b-\sqrt{b^2} -4ac }{2a}$

Thus, given the problem:

$a = 1, b=-6, c=y^2+14y-1$

So now we just need to plug them in the Quadratic Formula*

$x=\frac{6+2\sqrt{(-6)^2-4(y^2+14y-1)} }{2}$ , $x=\frac{6-\sqrt{(-6)^2-4(y^2+14y-1)} }{2}$

As you can see, it is a mess right now. Therefore, we need to simplify it

$x=\frac{6+2\sqrt{10-y^2-14y} }{2}$ , $x = \frac{6-2\sqrt{10-y^2-14y} }{2}$

Now that's get us to the final solution:

$x=3+\sqrt{10-y^2-14y}$ , $x=3-\sqrt{10-y^2-14y}$

It is my pleasure to help students like you! If you have additional questions, please let me know.

Take care!

~Garebear

3 0

2 years ago

Please help me! I will mark brainliest!

Elenna [48]

Answer:

Your picture didn't load?

Step-by-step explanation:

3 0

3 years ago

20 points, please help

Damm [24]

Answer:

The answer to your question is: 83 + 6 $\sqrt{35}$

Step-by-step explanation:

This is a square of a binomial.

(2 $\sqrt{5}$ + 3 $\sqrt{7} )^{2}$

1.- Square of the first term

( 2 $\sqrt{5} )^{2}$ = 4(5) = 20

2.- Twice the product of the two terms

(2)(2 $\sqrt{5} )$ (3 $\sqrt{7} )$ = 6 $\sqrt{35}$

3.- Square of the second term

(3 $\sqrt{7)})^{2}$ = 9(7) = 63

4.- Write the solution

20 + 6 $\sqrt{35}$ + 63

83 + 6 $\sqrt{35}$

7 0

3 years ago

I’ll give brainlest to the first one who answer the one my mouse is on it’s not that one!

Natalija [7]

Answer:

The answer is A

Step-by-step explanation:

4 0

3 years ago