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dybincka [34]
3 years ago
9

2x + y - z = -8

Mathematics
1 answer:
Andreyy893 years ago
5 0

Answer:

Multiply row 1 by \frac{1}{2}.

Step-by-step explanation:

The augmented matrix of the system of linear equation is described below:

\left[\begin{array}{cccc}2&1&-1&-8\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right]

Where a_{11} = 2, if we need to create a_{11} = 1, we need to multiply row 1 by \frac{1}{2}, that is to say:

\left[\begin{array}{cccc}1&\frac{1}{2} &-\frac{1}{2} &-4\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right]

Hence, the correct answer is: Multiply row 1 by \frac{1}{2}.

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In Circle P, m EA=58, m BC=42, m CD=90, find:
elena55 [62]

Circle theorem states that the angle that an arc subtends at the center of a

circle is twice the angle subtended at the circumference.

The values are as follows;

  1. m∠EDA = <u>90°</u>
  2. m∠BDC = <u>21°</u>
  3. m∠BEC = <u>21°</u>
  4. m\widehat{AB} =<u> 80°</u>
  5. m∠AEB = <u>40°</u>
  6. m∠ECA =  <u>29°</u>
  7. m∠BAC = <u> 21°</u>
  8. <u />m\widehat{ED}  =  <u>90°</u>
  9. m∠ECD = <u>45°</u>
  10. m∠ACB = <u>40°</u>
  11. m∠EBD = <u>45°</u>
  12. m∠ADB = <u>40°</u>
  13. m∠CAD = <u>45°</u>
  14. m∠EAB = <u>90°</u>
  15. m∠EBC = <u>90°</u>

<u />

Reasons:

\displaystyle 1. \ \mathbf{m\angle EDA} = \frac{1}{2} \cdot m\angle EPC Angle subtended at center is twice angle at circumference.

m∠EPC = 180°

∴  m∠EDA = 0.5 × 180° = <u>90°</u>

2. m\widehat{BC} = 42°, therefore, m∠BPC = 42°

\displaystyle \ m\angle BDC= \frac{1}{2} \cdot m\angle BPC

m∠BDC = 0.5 × 42° =<u> 21°</u>

3. m∠BEC = m∠BDC = <u>21°</u>

4. m\widehat{AB} = 180° - (58° + 42°) =<u> 80°</u>

5. \mathbf{m\widehat{AB}} = m∠APB by definition

m∠AEB = 0.5 × m∠APB

m∠AEB = 0.5 × 80° = <u>40°</u>

6. m∠ECA = 0.5 × m∠AE

Therefore;

m∠ECA = 0.5 × m\widehat{EA}

m∠ECA = 0.5 × 58° = 29°

m∠ECA =  <u>29°</u>

7. m∠BAC = 0.5 × \mathbf{m\widehat{BC}}

m∠BAC = 0.5 × 42° = 21°

m∠BAC = <u> 21°</u>

8. m\widehat{ED}  = 180° - \mathbf{m\widehat{CD}}

m\widehat{ED}  = 180° - 90° = 90°

\mathbf{m\widehat{ED}}  =  <u>90°</u>

9. m∠ECD = 0.5 × \mathbf{m\widehat{ED}}

m∠ECD = 0.5 × 90° = <u>45°</u>

10. m∠ACB = 0.5 × m\widehat{AB}

m∠ACB = 0.5 × 80° = <u>40°</u>

11. m∠EBD = 0.5 × \mathbf{m\widehat{ED}}

m∠EBD = 0.5 × 90° = <u>45°</u>

12. m∠ADB = 0.5 × \mathbf{m\widehat{AB}}

m∠ADB = 0.5 × 80° = <u>40°</u>

13. m∠CAD = 0.5 × \mathbf{m\widehat{CD}}

m∠CAD = 0.5 × 90° = <u>45°</u>

14. m∠EAB = 0.5 ×\mathbf{m\widehat{EABC}}

m∠EAB = 0.5 × 180° = <u>90°</u>

15. m∠EBC = 0.5 ×\mathbf{m\widehat{EABC}}

m∠EBC = 0.5 × 180° = <u>90°</u>

<u />

<u />

Learn more about circle theorems here:

brainly.com/question/25101481

3 0
3 years ago
I dont understand please help​
Llana [10]

What is the question?

8 0
3 years ago
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of
Gala2k [10]

Answer:

G= 93 to 147

Step-by-step explanation:

From the question we are told that

Mean x = 120

Standard deviation o = 9

Percentage for men =99.75%

Generally the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean  

Standard deviation n= 9

Mean x= 120

Generally the interval  of systolic blood pressure for middle 99.7 of male G is mathematically given as

G = mean + 3 * o

G = 120 + 3 * 9

G = 93 to 147

please brainless

3 0
2 years ago
Read 2 more answers
Write the first six cube of natural number​
IgorC [24]

Answer:

1, 8, 27, 64, 125, 216, 343, 512, ... 1, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, ...

Step-by-step explanation:

3 0
3 years ago
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A regular octagon can generate a pure tessellation. <br><br> True or False
Luden [163]
False ..................................
3 0
4 years ago
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