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natali 33 [55]
3 years ago
13

How many solutions does the system have?

Mathematics
1 answer:
Mrac [35]3 years ago
3 0

Answer:

A Exactly one solution

Step-by-step explanation:

\left \{ {{6x-3y=9} \atop {6x+y=9}} \right.\\\\\left \{ {{6x-3y=9} \atop {-6x-y=-9}} \right\\\\Then, \\\\-4y=0\\\\\\ y=0\\\\

Putting y=0 at second equation, we have

-6x=-9\\\\x=\frac{9}{6} =\frac{3}{2}

The unique solution is (\frac{3}{2} , 0)

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How many dogs were household pets in the U.S in 2012, in scientific notation
Irina18 [472]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Tanya and Kim are going to see a movie. The clocks show when the movie begins and ends. How long will the movie last? A.2 hours,
Tems11 [23]
Where are the clocks?

3 0
3 years ago
How do you solve? Help?
Vinvika [58]
Plug in a -20 wherever you see a b
(-20)^2 +4*-20-89/13
400 + -80-89/13
400 - 169/13
400-13
=387

Hope this helps
4 0
3 years ago
Find the value of x in the isoscleles triangle sqrt45 and altitude 3​
Alisiya [41]

Answer:

c.\hspace{3}x=12

Step-by-step explanation:

Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.

You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached.  As you can see:

x=2a

And we can find a easily using pythagorean theorem:

(\sqrt{45} )^{2} =3^{2} +a^{2}

Solving for a:

a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\

a^{2} =36\\\\a=\sqrt{36} \\\\a=6

Therefore:

x=2a\\\\x=2(6)\\\\x=12

8 0
4 years ago
I need help with this proof.<br>​
mylen [45]

Answer:

My proof is in the explanation.  

Step-by-step explanation:

This is a two-column proof.

One column for statements and the other for the reason for that statement.

Hopefully it shows up well on your screen. Let me know if it doesn't.

Statement                                          |        Reason

1) CD is the perpendicular                   1) Given

bisector of AB

2) AD=DB                                              2) Definition of bisector

3) CD=CD                                              3) Reflexive property

4) mAngleCDA=90                               4) Definition of perpendicular

5) mAngleCDB=90                               5) Definition of perpendicular

6) mAngleCDA=mAngleCDB               6) Substitution property

7) Corresponding parts of each           7)  SAS

triangle are congruent                                (side-angle-side)

8) AC=CB                                               8) The two triangles are ............................................................................congruent so

                                                                   the corresponding parts ............................................................................are

                                                                   congruent.

4 0
3 years ago
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