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polet [3.4K]
3 years ago
9

Drag statements and reasons to complete the proof

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0

Answer:

see below

Step-by-step explanation:

1) Slope from P to Q is F/E

2) Definition of slope

3) F'/E' = F/E

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Solve the 3 × 3 system shown below. Enter the values of x, y, and z. X + 2y – z = –3 (1) 2x – y + z = 5 (2) x – y + z = 4 (3)
Svet_ta [14]
<h2>Answer:</h2>

\boxed{x=1, \y=-1, \ z=2}

<h2>Step-by-step explanation:</h2>

We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:

Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\~~ x&-~~~~~ y&+~~~~ z&~=~4\end{array}

Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&-~~~3~ y&+~~2~ z&~=~7\end{array}

Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&&+~~\frac{ 1 }{ 5 }~ z&~=~\frac{ 2 }{ 5 }\end{array}

Step 4: solve for z, then for y, then for x:

\frac{ 1 }{ 5 } ~ z & = \frac{ 2 }{ 5 } \\ \\ \boxed{z & = 2}

-5y+3z &= 11\\-5y+3\cdot 2 &= 11\\ \\ \boxed{y &= -1}

By substituting y=-1 \ and \ z=2 into the first equation, we get the x. So:

x+2(-1)-2=-3 \\ \\ x-2-2=-3 \\ \\ \boxed{x=1}

6 0
3 years ago
Read 2 more answers
What is the best name of the figure with the following coordinates?
Marizza181 [45]

Answer:

D. parallelogram

3 0
3 years ago
Read 2 more answers
What is the domain of the exponential function shown below?
Phoenix [80]

The function will exist on all real numbers. Hence the domain of the exponential function given is all real numbers

<h3>Domain of a function</h3>

The domain are independent values of an expression for which it exist. The standard exponential equation is expressed as y = ab^x

Given the exponential function as shown:

y = 5(3)^x

The function will exist on all real numbers. Hence the domain of the exponential function given is all real numbers

Learn more on domain here: brainly.com/question/26098895

#SPJ1

7 0
1 year ago
The following are the last 10 run scores Colin got in cricket: 23, 20, 4, 19, 28, 35, 25, 0, 1, 30 a) Work out Colin's mean scor
sdas [7]

Answer:

I have given it step by step below.

Step-by-step explanation:

(i) Mean = sum of observations/total no. of observation

= 23 + 20  + 4 + 19 + 28 + 35 + 25 + 0  +1 + 30/ 10

= 185/10

= 18.5

(ii) additional 35 runs

New Mean

=previous total  + 35/10 + 1     (the 1 gets added in denominator because of                                           the additional observation)

= 185 + 35/11

= 220/11

= 20

Hope this helps you!

4 0
3 years ago
For each value of Y, determine whether it is a solution to 15Greater than or equal to Y
Aleks04 [339]

Answer:

16,21,15

Step-by-step explanation:

6 0
3 years ago
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