All categories

2 years ago

Matrices C and D are shown below. What values of a and b will make the equation CD = I true?

Mathematics

2 answers:

Furkat [3]2 years ago

7 0

Answer:

The answer is A

Step-by-step explanation:

You should set "I" as

1 0 0

0 1 0

0 0 1

then replace "a" to 0.5 and "b" to 0.1

then finally you multiply matrice C and D

If your answer is

1 0 0

0 1 0

0 0 1

then the answer will be A

olasank [31]2 years ago

4 0

Answer: A. a=0.5

b=0.1

Step-by-step explanation:

Edg 2021

You might be interested in

For the third week of February, Betty Robinson worked 46 hours. Betty earns $17.50 an hour. Her employer pays overtime for all h

anygoal [31]

Answer:

1. 700

2. $157.50

3. $857.50

Step-by-step explanation:

Regular pay is calculated by taking 40 hours x $17.50 to get $700.

Overtime is calculated by taking 6 hours x 17.50 x 1.50 to get $157.50

Gross pay would be adding these two amounts together.

6 0

3 years ago

The probability of drawing a blue card is 5/11 what is the probability of NOT drawing a blue card?

Gala2k [10]

The probability of not drawing one is 6/11

6 0

3 years ago

Read 2 more answers

What is the equation of the line perpendicular to 3x+y= -8that passes through -3,1? Write your answer in slope-intercept form. S

Gekata [30.6K]

Slope intercept form of a line perpendicular to 3x + y = -8, and passing through (-3,1) is $y=\frac{1}{3} x+2$

Solution:

Need to write equation of line perpendicular to 3x+y = -8 and passes through the point (-3,1).

Generic slope intercept form of a line is given by y = mx + c

where m = slope of the line.

Let's first find slope intercept form of 3x + y = -8

3x + y = -8

=> y = -3x - 8

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line 3x + y = -8 , slope m = -3

And as the line passing through (-3,1) and is perpendicular to 3x + y = -8, product of slopes of two line will be -1 as lies are perpendicular.

Let required slope = x

$\begin{array}{l}{=x \times-3=-1} \\\\ {=>x=\frac{-1}{-3}=\frac{1}{3}}\end{array}$

So we need to find the equation of a line whose slope is $\frac{1}{3}$ and passing through (-3,1)

Equation of line passing through $(x_1 , y_1)$ and having lope of m is given by

$\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)$

$\text { In our case } x_{1}=-3 \text { and } y_{1}=1 \text { and } \mathrm{m}=\frac{1}{3}$

Substituting the values we get,

$\begin{array}{l}{(\mathrm{y}-1)=\frac{1}{3}(\mathrm{x}-(-3))} \\\\ {=>\mathrm{y}-1=\frac{1}{3} \mathrm{x}+1} \\\\ {=>\mathrm{y}=\frac{1}{3} \mathrm{x}+2}\end{array}$

Hence the required equation of line is found using slope intercept form

4 0

3 years ago

Find the simple interest on $900 for 18 months at a rate of 9.5% per year

Anestetic [448]

To get the simple interest, we must use the formula: I= (p)(r )( t)
So, in this one we need to multiply $900x18x9.% and the answer will be $128.25. This is the amount of interest they are going to pay per year.

6 0

3 years ago

Describe this number line and the numbers and fractions shown.

Step2247 [10]

Answer:

This number line has negative and positive integers and that the negative fractions are in between each number so that means one side has positive integers and fractions and one side has negative fractions and integers

Step-by-step explanation:

the black lines would mean where the fractions and decimals are

Hope this helps
Hope this right
Ask questions

7 0

3 years ago

Read 2 more answers