What is "a" if B=
is a singular matrix
| 2
2 a​

Answers

Answer 1

Answer:

The value of a=4

Step-by-step explanation:

Given the matrix

[tex]B=\begin{pmatrix}1\:&\:2\:\\ \:\:\:2\:&\:a\end{pmatrix}[/tex]

A matrix is singular if its determinent is zero.

so solving the matrix B by taking its determinant to get the value a

[tex]\det \begin{pmatrix}1&2\\ 2&a\end{pmatrix}=0[/tex]

as according to determinant formula

[tex]\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc[/tex]

 [tex]1\cdot \:a-2\cdot \:2=0[/tex]    

  [tex]a-4=0[/tex]

   [tex]a=4[/tex]          

Therefore, the value of a=4


Related Questions

pleaseee I need help​

Answers

Answer:

whith whut

Step-by-step explanation:

Use a system of linear equations with two variables and two equations to solve.



205 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.

Answers

Answer:

passed: 164

failed: 41

Step-by-step explanation:

Let the failed students be x, then the passed students will be 4x.

x + 4x = 205

x = 205/5 = 41

4x = 4*41 = 164

If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the
coordinates of T.

Answers

Answer:

[tex](7,-11)[/tex]

Step-by-step explanation:

Given

[tex]S = (1,5)[/tex]

[tex]M = (4,-3)[/tex]

Required

Determine the coordinates of T

Midpoint is calculated as:

[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]

Where:

[tex](x,y) = (4,-3)[/tex]

[tex](x_1,y_1) = (1,5)[/tex]

Substitute these values in the above formula:

[tex](4,-3) = \frac{1}{2}(1 + x_2,5+y_2)[/tex]

Multiply through by 2

[tex]2 * (4,-3) = 2 * \frac{1}{2}(1 + x_2,5+y_2)[/tex]

[tex](8,-6) = (1 + x_2,5+y_2)[/tex]

By direct comparison:

[tex]1 + x_2 = 8[/tex] and [tex]5 + y_2 = -6[/tex]

Solving for x2

[tex]1 + x_2 = 8[/tex]

[tex]x_2 = 8 - 1[/tex]

[tex]x_2 = 7[/tex]

Solving for y2

[tex]5 + y_2 = -6[/tex]

[tex]y_2 = -6 - 5[/tex]

[tex]y_2 = -11[/tex]

Hence, the coordinates of T is: [tex](7,-11)[/tex]

Distributive property is a property of equality?
- True
-False

Answers

Answer:

Its True

Step-by-step explanation:

what is 58+67÷34×21-34​

Answers

65.38235294117647 I got this answer
58+67= 125
125 divided by 34 = 3.6764
3.6764 x 21 = 77.2044
77.2044 - 34 = 43. 2044

What is the measure of /__B? Type the number only

Answers

Answer: I believe it would be 30

Step-by-step explanation:

A=X

B=Y

C=Z

A long year-end status report for work is 81 pages long. You need to print 12 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.96 each.

Give your answer to the nearest cent, only for the paper you use (partial reams are OK)

Answers

Answer:

770cents

Step-by-step explanation:

If a report is 81 pages long, 12 copies will be (81 * 12)pages long

12copies = 972 pages long

If 500 pages costs $3.96 each

972 pages will cost $x

Cross multiply

500x = 972 * 3.96

500x = 3,849.12

x = 3,849.12/500

x = 7.69824

Hence the cost of the reports is $7.69824

Convert to cents;

$1 = 100cents

$7.69824 = y

y = 7.69824 * 100

y = 769.824 cents

y ≈ 770 cents (to the nearest cent.)

Hence the paper is going to cost 770cents (to the nearest cent)

3
. (-3, 5); y = *-4
Write an equation passing through the point and the perpendicular to the given line

Answers

Answer:

the line perpendicular: x=-3

Step-by-step explanation:

Write 1270 in expanded form using exponents

Answers

Step-by-step explanation:

Answer:

[tex]1.270[/tex] × [tex]10^{3}[/tex]  

I hope this helps!

what is an equation of the line that passes through the points (-2,-7) and (-1,-3)

Answers

Answer:

y=4x+1

Step-by-step explanation:

First you need to solve for slope using the equation:

y2-y1/x2-x1

It doesn't matter what point is 1 or what point is 2. Lets just say that (-2,-7) is point 1, and (-1,-3) is point 2.

(-3)-(-7)/(-1)-(-2)=-4/-1=4

Next you find the y-intercept. To do this you can plug in plug in everything we know into the equation: y=mx+b, and solve for b.

(Lets use point one)

-7=4(-2)+b

-7=--8+b

1=b

Last we can put it all together.

y=4x+1

1. Express 0.00456 in standard form.

Answers

Answer:

Writing a number in standard form simply means to express the number in its 'normal' form. Therefore, your example is written in standard form.

Answer: 4.56 x 10^-3

Step-by-step explanation: To convert scientific notation to standard form, all you have to do is move the decimal to the left or the right until you get a number that is more than 1 and less than 10, then count however many spaces you had to move and add that as your exponent over 10 (if you move left, the exponent is positive, and right is negative). Basically, this just lets you know that the actual number is that many times smaller or larger than the number in your answer.

Doug rents a kayak for 12 days. The rental charge is $18 per day. Which is the
best estimate for the total cost of the kayak rental?

Answers

Answer:

Yes

Step-by-step explanation:

What I would do to find an estimate is to round 18 up to 20 then multiply that by 12. Hope this helps!!!

YALLLLL PLEASE HELP MEEEEEEEEEEEEEEE I WIIIL MAKR BRANLIEST IF CORRECT!!!!!!!!
Write an equation in slope intercept whose slope is 5 and y intercept is -3

Answers

Answer:

y=5x-3

Step-by-step explanation:

it just is

Answer:

y=5x-3

Step-by-step explanation:

Help I will give brainliest

Answers

C rotation and translation

Write a division problem that has a quotient of 12.
At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or
improper fraction. Neither the dividend nor the divisor can be 12.

Answers

12%12 that’s ur answer

Negative 3/5 ×17 5/8=

Answers

Answer:

-10.575

Step-by-step explanation:

YALLL PLEASE HELP ME I WILL MARK BRANLIEST IF CORRECT PLEASE HELP!!!!!!!!

Write an equation in point slope form for the line that goes through the point (2,3) and has a slope of 4.

Answers

Answer:

y=4x-5

Step-by-step explanation:

y=Mx+b

y=4x+b

3=4(2)+b

3=(8)+b

-5=b

The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003
a. What proportion of the fans will last at least 10,000 hours?
b. What proportion of the fans will last at most 7000 hours?

Answers

Answer: 0.0497870 ; 0.87754

Step-by-step explanation:

Given that :

λ = 0.0003

Defining a continuous distribution function :

F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0

a. What proportion of the fans will last at least 10,000 hours?

P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870

b. What proportion of the fans will last at most 7000 hours?

P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)

1 - 0.12245642825 = 0.87754

Please help me with this as soon as you can. I have no idea how to do it so please help me.

Answers

Answer:

x=10

Step-by-step explanation:

The lines the angles are on are 180 degrees so

(11x+23) + (7x-23)= 180

Let's rearrange them first

11x+7x + 23-23=180

Combine the like terms

18x + 0=180

Remove the 0

18x=180

Then divide 18 on each side

x=10

Which statement is most likely to show a constant rate of change???

A. The outside temp compared with the time of day.

B. The cost of a new car compared with the number of tires it has.

C. The weight of a child compared with its age in months.

D.The distance traveled by a truck driving at a constant speed compared with time.

Answers

I believe you answer would be D) The distance traveled by a truck driving at a constant speed compared with time.

Glenda placed $1900 in a savings account which compounds interest continuously at a rate of 2.4%. How much will she have in the account after 2 years?

Answers

Answer: $1,992

Step-by-step explanation: :)

What is: 7x + 1.8 + 2.2 = 30

Step-by-step explanation pls! :)

Answers

The answer is 3.71
First u add 1.8 and 2.2 and get 4. Then u subtract 30 by the 4 u got. Finally u divide 26 by 7 and get x = 3.71 :)

Help me Please 20 POINTS

When two variables are in a proportional relationship, which of the following is true about

1 their values.
2 their sums are a constant
3 their differences are a constant
4 their products are a constant
5 their quotients are a constant

Answers

Answer:

(5)

for eg;

3/5 is proportional to 15/25

Answer:

I would say 1 or 4

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Stanley drove a race car an average speed of 120 miles per hour for 3 minutes. How far did Stanley drive the race car?​

Answers

Answer:

6 miles

Step-by-step explanation:

3 minutes = 1/20 of an hour

120 miles x 1/20 of an hour = 6 minutes

Find the missing angle.
200
180
A
100
B
50
SO
D) 70

Answers

Answer:

the answer is c) 80

all angles of the Triangle will have a sum of 180. 80+20=100 ... 180-100= 80

if four out of 10 people vote then in a town with 200,00 people how many will vote

Answers

Answer:

80,000

Step-by-step explanation:

You see all you have to do is find out what 200,000 divided by 10 is : 20,000 then multiply that by four leaving you with a answer of 80,000.

Anna is x years old, her sister Jane is y years younger. What will the sum of there ages be in 3 years. SORRY IM DUMB

Answers

You are not dumb. No one is dumb. Einstein failed math in high school.

Anna is x years old.

Jane is y years younger.

This means the Jane is x - y years old.

In three years, Anna will be x + 3 years old.

In three years, Jane will be (x - y) + 3 years old.

Let S = the sum of their ages in 3 years.

S = x + 3 + (x - y) + 3

S = 2x + 6 - y

Got it?

A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm. What is its surface area? Explain also and thanks if anyone answers my question!

Answers

Answer:

The surface area is 48cm^2

Step-by-step explanation:

Given

Dimension: 2cm by 2cm by 5cm

Shape: Rectangular Prism

Required

Determine its Surface Area (A)

This is calculated as thus:

[tex]A = 2(lw + lh + hw)[/tex]

Where l, w and h are the dimensions of the given shape:

We can say:

[tex]l = length = 2cm[/tex]

[tex]w=width = 2cm[/tex]

[tex]h=height=5cm[/tex]

So:

[tex]A = 2(2 * 2 + 2 * 5 + 5 * 2)[/tex]

[tex]A = 2(4 + 10 + 10)[/tex]

[tex]A = 2(24)[/tex]

[tex]A = 2 * 24[/tex]

[tex]A = 48[/tex]

Hence, the surface area is 48cm^2

What is 15% of 40?
02
О 4
05
06

Answers

Answer:

6

Step-by-step explanation:

Multiply 40 by 15%, or 0.15.

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[tex] \frac{15}{100} \times 40 = \\ [/tex]

[tex] \frac{15 \times 40}{100} = \\ [/tex]

[tex] \frac{600}{100} = 6 \\ [/tex]

Thus 15% of 40 is 6 .

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May u please help me ill give out the brainly

Answers

Answer:

24x+18y+10

Step-by-step explanation:

start by distributing so 6*4x and 6*3y

that give you 24x+18y+10

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