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ahrayia [7]
3 years ago
8

Given the linear system:

Mathematics
1 answer:
azamat3 years ago
3 0

Answer:

y=x+1/2z+-1/2

Step-by-step explanation:

Let's solve for y.

2x−2y+z=1

Step 1: Add -2x to both sides.

2x−2y+z+−2x=1+−2x

−2y+z=−2x+1

Step 2: Add -z to both sides.

−2y+z+−z=−2x+1+−z

−2y=−2x−z+1

Step 3: Divide both sides by -2.

-2y/-2 = -2-z+1/-2

y=x +1/2z+-1/2

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Solve If QR = 6x + 1, PR = 14x - 13, and PQ = 5x - 2, find PR
solong [7]

Answer:

P____Q____R

PR= PQ+ QR

(14x-13) = (5x-2)+(6x+1)

14x-13= 11x – 1

14x – 11x = 13–1

3x = 12

x= 12/ 3

x= 4

PR= 14x – 13 = 14 (4) – 13 = 18 – 13= 5

If you want (PQ , QR ) this is the solution

PQ =5x-2=5(4)-2=20-2=18

QR =6x+1=6(4)+1=24+1=25

I hope I helped you^_^

7 0
2 years ago
(x-5)1/2+5=2<br> (x-5)1/2=-3<br> [(x-5)^1/2]^2=(-3)^2
Studentka2010 [4]

Answer:

x = 14

Step-by-step explanation:

You want to solve for x, right?

(x-5)^(1/2)+5=2

You have it right so far.

(x - 5)^(1/2) = -3

(x - 5)  =  (-3)^2

x - 5 = 9

x = 9 + 5 = 14

3 0
3 years ago
Which box-and-whisker plot represents the data set?<br><br> 11, 6, 19, 14, 21, 7, 13, 15, 15
Katena32 [7]
The box and whisker plot is attached.

We first order the data from least to greatest:
6, 7, 11, 13, 14, 15, 15, 19, 21

The median is the middle value, or 14.
The lower quartile is the median of the lower half (split by the median).  This is between 7 and 11: (7+11)/2 = 18/2 = 9
The upper quartile is the median of the upper half (split by the median).  This is between 15 and 19:  (15+19)/2 = 34/2 = 17
The highest value is 21.
The lowest value is 6.

We draw the middle line of the box at 14, the median.  We draw the left side of the box at the lower quartile, 9.  We draw the right side of the box at the upper quartile, 17.  From the right side of the box, we draw a whisker to the highest value, 21. From the left side of the box, we draw a whisker to the lowest value, 6.

4 0
3 years ago
A six-sided dice is thrown once
g100num [7]
A : 1/6 is the answer hope it helps
8 0
3 years ago
Read 2 more answers
The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the l
kari74 [83]

Answer:

2√3 = hypotenuse

√3 = side

Step-by-step explanation:

\sqrt{3^{2} +x^{2} } = 2x \\\sqrt{9 +x^{2} } = 2x\\9+x^{2} =(2x)^{2} \\9+x^{2} = 4x^{2} \\9 = 4x^{2} - x^{2} = 3x^{2} \\3 = x^{2}\\\sqrt{3} = x\\\\2x = 2\sqrt{3}\\

6 0
2 years ago
Read 2 more answers
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