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AnnyKZ [126]
3 years ago
15

Suppose a system of linear equations has a 3 5 augmented matrix whose fifth column is a pivot column. is the system consistent?

why (or why not)? 4
Mathematics
1 answer:
likoan [24]3 years ago
7 0

Answer:

The system will be inconsistent.

Step-by-step explanation:

We are given that a system of linear equations has a 3×5 augmented matrix whose fifth column is a pivot column.

Then such a system is not consistent because since the augmented matrix has a pivot in fifth column it means that the new column added to the matrix A will lead to increase in the rank as that of matrix  A.

Hence the rank of A and Augment A will not remain same and hence the system will be inconsistent.

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A kite flying in the air has an 7-ft line attached to it. Its line is pulled taut and casts a 5-ft shadow find the heights of th
Stels [109]

The height of the kite is 4.89 feet

Explanation

The length of the line attached to the kite=7 feet

The length of the shadow that is cast on the ground=5 feet

the system forms a right angled triangle where the taught string of the kite is the hypotenuse, the shadow is the base and the height of the kite above the ground is the height.

H=7 feet

b=5 feet

using pythagoras theorem

h^2+b^2=H^2\\h^2=H^2-b^2\\h^2=7^2-5^2\\=49-25\\=24\\h=\sqrt{24\\} =2\sqrt{6} \\=4.89 feet

The kite is 4.89 feet above the ground

3 0
3 years ago
Kindly answer this question it would be really helpfull
Svetach [21]

Answer:

The values in the table, taking into account the quadratic equation, are:

  • x     -3     -2     -1     0     1     2     3     4
  • y     <u>16</u>      9     <u>4</u>     1     <u>0</u>     1     <u>4</u>     9

Step-by-step explanation:

To obtain the values of the table, you must use the quadratic equation given:

  • <u>y = x^2 - 2x + 1</u>

Now, you must replace the x with the one that is above the value you want to find, in the first case, we're gonna replace the value x with -3:

  • y = x^2 - 2x + 1
  • y = (-3)^2 - 2*(-3) + 1
  • y = 9 + 6 + 1
  • <u>y = 16</u>

When x is -1

  • y = x^2 - 2x + 1
  • y = (-1)^2 - 2*(-1) + 1
  • y = 1 + 2 + 1
  • <u>y = 4</u>

When x is 1

  • y = x^2 - 2x + 1
  • y = (1)^2 - 2*(1) + 1
  • y = 1 - 2 + 1
  • <u>y = 0</u>

When x is 3:

  • y = x^2 - 2x + 1
  • y = (3)^2 - 2*(3) + 1
  • y = 9 - 6 + 1
  • <u>y = 4</u>

At last, the graph must be as the attached picture I give you, but <u><em>remember in y-axis you must use 1 cm as unit and in the x-axis you must use 2 cm as unit, in this form, the graph will not be so elongated as the picture I attach, It would be wider</em></u>.

3 0
3 years ago
5x+3y=3<br> slope intercept form:<br> slope of the line:<br> y-intercept of the line:
siniylev [52]

Answer:y=-5/3x+1

-5/3

1

Step-by-step explanation:you move the 5x to the right making the equation 3y=-5x + 3, then you divide everything by 3. You then find the other info by knowing y=mx+b which means m=slope and b = y intercept

4 0
3 years ago
Will give brainlist!
Ainat [17]
A segment bisector is a geometric figure that divides the line segment exactly in half.

Vertical angles theorem states that vertical angles, angles that are opposite to each other and formed by two intersecting straight lines, are congruent.
4 0
3 years ago
At what rate is a car traveling, if it goes 157.5 miles in 2.5 hours?
elena-s [515]

Answer:

63

Step-by-step explanation:

8 0
3 years ago
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