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Andreas93 [3]
3 years ago
6

The system shown has the unique solution (2, y, z). Solve the system and select the values that complete the solution. y = 0 y =

2 y = 3 z = 0 z = 2 z = 3 3x-2y+3z=0 (1) -3x - 5y - 5z= -21 (2) x=2 (3)
Mathematics
2 answers:
madreJ [45]3 years ago
8 0
So we are given a system:
3x-2y+3z=0\\
-3x - 5y - 5z= -21
Substitute x = 2 we get the system:
-2y+3z=-6\\
- 5y - 5z= -15
Multiply the first equation by -5 and the second by 2 we get the system:
10y-15z=30\\
- 10y - 10z= -30
Adding the two equations we get :
-25z=0\text{ then}z=0.
We find the value of y by using any of the other equations like this:
-2y=-6\\y=3.
Final solution:
z=0,y=3
Maslowich3 years ago
7 0

Answer:

y = 3

z = 0

Step-by-step explanation:

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3 0
3 years ago
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ale4655 [162]

Answer:

Area = 58 \ units^2

Step-by-step explanation:

We can start by finding the third side of the triangle/the side of the square using the Pythagorean Theorem:

a^2+b^2=c^2

In this case the side length of the square would be represented by the variable "c" as it is the hypotenuse:

3^2+7^2=c^2

9+49=c^2

c^2=58

c=\sqrt{58}

Since the area of a square is the side length square then...

Area =( \sqrt{58} )^2

The square root and the squared cancel out giving us...

Area = 58 \ units^2

3 0
2 years ago
What graph is p less than or equal to -1
Montano1993 [528]
Dont know,not sure of this one
3 0
3 years ago
Construct a truth table for the statement: (p v q) v (~p ^ q) -&gt; q
Gnom [1K]

Step-by-step explanation:

We have the following statement (p\lor q)\lor(\lnot p \land q) \rightarrow q

A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.

The simple statements from the statement given are:

\lnot p, p\lor q, \lnot p \land q, and (p\lor q)\lor(\lnot p \land q)

This is the truth table.

8 0
3 years ago
❗️❗️PLEASE HELP ME❗️❗️
kicyunya [14]

question 3 = $150 because 50% is one half of 100% so 300/2 = 150

4 0
2 years ago
Read 2 more answers
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