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ira [324]
2 years ago
7

Solve elimination method 3x+4y=0 and x - 2y =-5​

Mathematics
1 answer:
Alla [95]2 years ago
5 0

Answer:

x=−2 and y=3/2

Step-by-step explanation:

see picture

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Simplify sqrt72 -3sqrt12 + sqrt 192
vovikov84 [41]

Answer:

6\sqrt{2}+2{\sqrt3}

Step-by-step explanation:

Given expression:

\sqrt{72}-3\sqrt{12}+\sqrt{192}

Rewrite 72 as (36 · 2), 12 as (4 · 3), and 192 as (64 · 3):

\implies \sqrt{36 \cdot 2}-3\sqrt{4 \cdot 3}+\sqrt{64 \cdot 3}

Apply the radical rule  \sqrt{a \cdot b}=\sqrt{a}\sqrt{b} :

\implies \sqrt{36}\sqrt{2}-3\sqrt{4}\sqrt{3}+\sqrt{64}{\sqrt3}

Rewrite 36 as 6², 4 as 2², and 64 as 8²:

\implies \sqrt{6^2}\sqrt{2}-3\sqrt{2^2}\sqrt{3}+\sqrt{8^2}{\sqrt3}

Apply the radical rule  \sqrt{a^2}=a :

\implies 6\sqrt{2}-3\cdot 2\sqrt{3}+8{\sqrt3}

Simplify:

\implies 6\sqrt{2}-6\sqrt{3}+8{\sqrt3}

\implies 6\sqrt{2}+2{\sqrt3}

8 0
2 years ago
Read 2 more answers
Use the conditional statement to answer the question. If an angle is a right angle, then the angle measures 90°. Are the stateme
SVEN [57.7K]
To answer this question, we need a strong understanding of what "contrapositive" means:
The contrapositive of a conditional statement flips the hypothesis and conclusion, and makes both negative.
Here is an example:
Conditional Statement: If I am sick, then I stay home from school.
Hypothesis: I am sick, Conclusion: I stay home from school
Contrapositive: If I do not stay home from school, I am not sick. 

What would be the contrapositive in our conditional statement?
Conditional Statement: <span>If an angle is a right angle, then the angle measures 90°
Contrapositive: If the angle does not measure 90</span>°, then the angle is not a right angle. 
In this case, both the conditional statement and the contrapositive are true. We know this because a 90° angle and a right angle are the same thing. 
7 0
3 years ago
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Cung Pí simplifies
MakcuM [25]

Answer:

sorry PLS the question is not clear I think U missed some parts

6 0
3 years ago
In the diagram, ΔPMN ≅ ΔQSR.
kotykmax [81]
20. qr is congruent to pn so pn is 20
7 0
3 years ago
Read 2 more answers
Grissom draws different sized spheres in a notebook. He knows there is a relationship between the volume of the sphere and the l
grigory [225]

Answer:

The independent quantity in the situation is the length of the diameter.

Step-by-step explanation:

Consider a relationship between two variables.

Of the two variables one variable is dependent upon the other.

Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variable values are changed.

Independent variables are the variables that are being altered to see a proportionate change in the dependent variable.

In this case, it is provided that Grissom knows there is a relationship between the volume of the sphere and the length of its diameter.

With every sphere that Grissom draws, the volume of the sphere changes according to its diameter length.

That is the volume of the sphere depends upon the length of its diameter.

Thus, the independent quantity in the situation is the length of the diameter.

4 0
3 years ago
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